On this page of Benford's Law Stocks.com we present our study of Air Products & Chemicals, Inc. — ticker symbol APD. SEC filings have been screened by our Benford's Law software, for quarterly 10Q and annual 10K filings from 7/23/2020 to 5/1/2025 for Air Products & Chemicals, Inc. under CIK number 0000002969. For filings made in XBRL (eXtensible Business Reporting Language) format, our algorithm extracts all "tagged" numbers presented by the company; for any non-XBRL filings our algorithm uses its own interal set of rules to extract what it believes to be numbers as found throughout the filings. The format found for each filing is presented below together with the results for APD, with the percentage of found numbers beginning with each digit (1's, 2's, 3's, 4's, 5's, 6's, 7's, 8's, and 9's) charted against the "normal" range observed throughout our coverage universe, as well as the "normal" range for Air Products & Chemicals, Inc. based on the past APD filings our system processed in the past.
31.8
19.2
13.8
8.6
9.1
6.3
5.4
3.1
2.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
XBRL?   [ original filing, APD stockholder letter ]
Total numbers found: 1,414
Recent share count: 222,475,666 (2's column)

= Typical range across full coverage universe
Benford's Law Stocks Indicator
1414
High count compared to other filers, with APD falling in the highest 10% of filers. At this number count, it would take about 14 numbers to move any given column by a full percentage point.
95

Starting from a possible score of 100, we made the following score deductions:
 • The 5's percentage was higher than the 4's percentage, increasing the penalty multiplier.
 • We deducted point upon observing the 8's percentage was below the typical coverage universe range.
 • We deducted points upon observing the 8's percentage was below the company's typical historical range.
 • We deducted point upon observing the 9's percentage was below the typical coverage universe range.
 • We deducted point upon observing the 9's percentage was below the company's typical historical range.
Benford's Law Stocks Indicator
APD
High score compared to other filers, with APD falling in the highest quartile of filers.
CSTM
AINC
APLE
BBY
ADM
AIV
APG
ARIS
Check our work! We provide our Air Products & Chemicals, Inc. Benford's Law analysis for informational purposes only, and our software should be expected to make mistakes and contain errors (nothing you see on this website should be relied upon for any decision-making without first repeating the analysis yourself independently), and so below we present to you all of the numbers our system detected, for the APD filing above. This way, you can open the filing on your own and compare what you see below against what you yourself find. This can also be helpful for exploring any columns in particular that caught your eye.

1's 2's 3's
We found 449 numbers that start with the digit 1. Here they are:
1,991.5
13.9
1,684.4
1,304.1
145.5
143.3
113.4
18.6
1,452.8
1,468.4
130.5
1,737.5
1,087.7
1,202.5
1,730.6
1,113.2
1,181.7
1,737.5
16.7
102.3
10.6
11.0
13.6
1,673.7
1,622.1
1,087.7
1,202.5
11.9
13.1
156.8
18.1
1,479.3
1,300.4
1,563.2
1,355.2
1,491.4
111.4
1,845.9
1,821.6
179.9
16,612.4
16,580.0
1,047.7
1,220.2
1,094.7
1,171.5
182.8
14,153.1
13,428.6
100.9
104.4
1,320.9
1,350.5
1,159.9
16,882.7
16,721.3
1
1,291.4
1,253.2
17,637.3
19,545.7
1,997.0
1,984.1
14,703.4
17,036.5
1,637.2
16,779.6
18,673.7
1,087.7
1,202.5
1,113.2
1,181.7
129.4
118.2
12.3
18.2
111.7
1,139.8
1,428.3
117.6
136.4
11.1
131.9
1.1
142.6
110.3
1,825.1
1,488.3
1,617.0
1,491.4
1,253.2
19,545.7
1,984.1
17,036.5
1,637.2
18,673.7
1,113.2
1,113.2
1,087.7
1.4
1.4
12.8
12.9
1,291.4
17,637.3
1,997.0
14,703.4
16,779.6
1,190.5
17,289.7
1,967.3
14,312.9
1,347.4
15,660.3
1,181.7
1,181.7
1,202.5
173.5
173.5
13.7
13.7
1.5
142.6
142.6
1.1
1.3
1.3
1,215.7
17,690.0
1,965.8
14,913.4
1,421.5
16,334.9
1,260.9
19,767.3
1,999.1
16,692.3
18,738.7
1,730.6
1,730.6
1,737.5
108.5
108.5
1.79
1.1
1.3
1.3
1,291.4
17,637.3
1,997.0
14,703.4
16,779.6
1,200.0
17,510.0
1,966.1
14,873.0
1,256.1
16,129.1
155.6
155.6
1.77
13.7
13.7
15.7
15.7
15.7
1
108.1
108.1
1
1.1
1.2
1.2
1,215.7
17,690.0
1,965.8
14,913.4
1,421.5
16,334.9
11.5
17.7
12.8
1.2
132.1
120.6
182.9
193.0
175.5
18.5
13.1
13.8
1,281.6
115
1.8
1.4
150.1
19.7
1,552.5
13.1
1,269.0
1,287.2
100
194.5
18.5
1,404.4
17.2
1,324.7
1,245.8
100
1,473.6
1,052.4
1,101.2
191.5
191.5
1,591.2
1,424.6
191.5
100
1,409.6
1,088.3
1,573.5
1,399.1
100
1
118.8
105.9
103.7
191.3
146.3
174.7
15.8
18.0
144.0
168.7
15.8
1,165.3
1,199.8
1,939.0
1,880.0
1,905.7
1.64
1.64
16.7
1,512.1
1.2
1.2
15.6
10.8
15.6
165.6
119.6
113.4
16.5
10.4
1.7
1
16.7
10.5
142.6
123.9
100.6
112.4
1.1
132.4
19.6
15.4
10.5
100.3
134.4
12.4
149.4
143.3
112.3
18.1
1,991.5
18.6
1.1
1.1
16.2
1
1
1.5
1
10.2
1
12.3
11.2
11.2
113.4
1
1.8
104.4
10.4
11.0
12.9
1.9
1
1.8
101.9
13.7
1
1.6
1
1.4
1.5
10.2
17.9
17.9
1.1
11.5
12.6
1.7
1
193.3
100.8
100.8
187.6
187.6
15,084.7
14,588.8
14,144.4
13,897.3
100.8
100.8
187.6
187.6
142.6
142.6
123.9
123.9
100.6
100.6
1,687.5
1.0
1,081.8
1.000
1,223.9
1,129.0
13.8
15.0
14.5
11.9
11.7
14.1
14.3
17.5
1
1
1
1
11.0
15.7
10.2
10.4
1.0
1.1
1
1
1
1
19.2
14.3
19.2
1
179.2
179.2
19
19
19
19
10.1
13
14.8
13.0
11.2
125,282
102.3
11.0
104.8
11.0
1,545.3
109.4
105.6
17.3
1
1
1.4
1.5
12.3
10.2
11.0
13.6
1,730.6
1,113.2
1,181.7
1
130.5
18.3
18.1
13.1
150
170
155
120
193.5
1
149.8
15
1,287.2
191.4
195.5
118.4
178.4
131.8
10.2
10.5
152.3
1,245.8
174.1
116.4
12.8
11.7
143.3
1,591.2
1,424.6
191.5
1,304.8
111.3
12.9
19.7
163.2
1,573.5
1,399.1
188.1
1,361.1
13.3
12.5
166.8
11,274.1
10,067.4
12,383.8
1,304.8
1,361.1
1,684.4
1,304.1
152.3
143.3
145.5
143.3
We found 271 numbers that start with the digit 2. Here they are:
222,544,214
2,916.2
2,930.2
2,053.9
222.0
240.6
22.9
25.4
2,927.9
2,927.9
21.5
22.3
2,328.0
296.1
20.3
24.0
2,243.3
265.9
25.5
20.8
2.57
2.57
222.8
222.5
222.7
222.5
222.8
222.7
222.7
222.8
223.8
2
2.5
2.3
20.7
2.5
25.5
2.2
22.0
27.3
25.5
20.8
2,979.7
261.6
24,033.4
23,370.9
281.6
2,926.2
22,093.3
20,900.9
249,455,584
249.4
249.4
2,477.7
2,027.7
26,911,370
27,083,166
2,076.2
25.5
20.8
2,927.9
28.5
28.0
26.5
24.4
20.2
2,002.5
2,712.5
2,979.7
2,535.0
249.4
2,027.7
25.5
25.7
25.7
249.4
2,477.7
2,076.2
249.4
2,449.4
20.8
29.5
29.5
29.5
2
249.4
2,275.9
249.4
2,586.2
2,046.4
2.1
2
249.4
2,477.7
2,076.2
249.4
2,120.3
2
2
249.4
2,275.9
27.3
224.0
233.9
2.0
24.5
2,871.2
2,934.7
2,290.6
2,861.8
2.4
2,400
23.9
249.2
251.0
2,916.2
283.8
201.1
201.1
201.1
2,930.2
28.3
2,615.4
2,574.8
2,898.4
2,643.2
2,497.9
26
244.0
240.0
280.2
290.0
210.2
2.3
278.2
294.7
2,642.6
2,858.5
2,121.9
2,750.8
2.77
2,159.3
2.72
2.80
2,057.1
21.6
216.9
21.8
2
2
2
22.3
23.0
22.0
239.2
20.0
2
28.0
2.6
2
20.7
2,916.2
2,930.2
2,053.9
2
24.9
2
20.3
24.0
26.6
2.4
2.4
2
23.6
2.8
2.9
2.8
2.9
27.3
29.8
239.2
239.2
22.5
22.5
2.950
2.00
222.2
2.3
2.7
2.4
2.8
29.9
2
2.4
2
2
20.7
27.7
29.8
29.2
23.5
23.4
28.2
28.6
2
2
2
2
22.0
2
25
28.4
29.3
21.5
22.4
2.1
2,152.8
2,586.2
2.5
2,047.2
2,477.7
27.2
2,027.7
20.7
2.5
22.0
22.0
2,047.2
2,477.7
2.5
2.5
22.0
27.3
222.8
222.5
222.7
222.5
2
222.8
222.7
222.7
222.8
2.57
2.57
265.9
22.5
25.1
2.9
2.9
22.5
294.4
200.0
22.4
2,916.2
2.9
27.7
201.1
2,930.2
203.6
201.0
2,574.8
235.4
254.7
20.8
2,497.9
228.2
25.7
2,927.9
2,927.9
2,328.0
296.1
We found 195 numbers that start with the digit 3. Here they are:
31.4
36.8
301.7
365.1
34.3
3.9
34.8
3.6
391.6
39,950.9
311.6
324.2
392.1
33,685.3
33,211.6
38,872.9
39,574.6
3,423.9
38,872.9
39,574.6
3,473.4
34.9
30.9
31.6
301.0
3,114.9
365.4
35.8
392.4
36.5
367.4
30.1
3,226.0
3,649.0
332.3
355.7
33.8
3.2
391.6
3.56
362.4
362.4
3.1
3.1
3.1
3.52
3.0
3.0
398.3
398.3
398.3
36.7
36.7
36.7
3.9
3.9
393.5
393.5
393.5
3
3.3
3.0
34.5
36.8
31.2
3,929.9
37.1
344.8
308.4
362.0
3,997.1
3,053.3
30.4
3.2
3,111.4
3,473.4
3,060.0
300
300
3.5
34.0
34.0
3
32.8
35.7
37.3
3,040.8
3
36.0
35.1
386.0
386.0
386.0
34.0
34.0
3,200.5
322.7
3.26
3.27
3.64
308.4
3.01
34.7
3.64
3.5
32.8
36.6
30.4
3.6
34.3
33.5
31.6
33.9
32.1
32.5
3.4
3.9
3.9
3
34.0
3.5
3
3
3
3
3
3
3
37.6
37.1
37.1
37.1
37.1
3.450
300
3.0
33.7
33.2
30.0
3
3
3
3.2
30.4
35.0
31.5
30
34.7
3
31
31
334.7
389.9
38.3
3.6
30.3
332.36
391.6
3
3
3
34.0
34.8
3
365.1
34.9
34.9
31.4
321.8
304.4
31.4
31.0
35
32.8
365.7
383.6
31.2
35.7
371.9
360.8
382.0
3.5
351.8
302.9
386.0
398.6
343.8
32.4
301.7
38,872.9
39,574.6
31.4
302.9
301.7
301.7
4's 5's 6's
We found 121 numbers that start with the digit 4. Here they are:
4,070.4
4,058.7
464.4
479.0
44.9
42.2
45.0
4.5
487.8
44.7
416.8
4,792.5
40,645.8
4,179.6
4,393.9
4,479.5
40.2
47.7
4,009.1
4,419.4
450.0
450.0
4.5
44.7
4.3
4,200.9
4,393.9
410.1
40.7
4,069.4
4,479.5
44.2
4
43.8
478.2
44
495.9
48
473.4
45
477.5
45
453.7
48
45
49.4
42.2
4,003.2
461.4
410.6
4.96
40.2
4.6
48.2
41.7
4
43.0
46.9
43.4
4.8
41.1
45.0
42.2
4
48.3
4.3
4.4
4
44.2
4
4
4,070.4
4,058.7
4
4
4
4
47.3
41.8
41.8
41.4
41.4
41.8
41.8
41.4
41.4
451.1
415.7
43.7
48.7
47.7
41.9
4.7
4.6
4.8
4
4.8
41.4
40
4
42
42
4.9
41.8
470.13
4.1
498.6
45.0
43.9
44.7
487.6
487.6
4
41.8
45
4.7
44.2
407.8
45.9
414.8
4,324.9
We found 129 numbers that start with the digit 5. Here they are:
50
50
5,847.7
5,927.6
51.1
57.0
57.0
59.9
505.8
580.9
572.4
5.00
5.31
5.00
5.30
580.9
521.7
5.7
58.4
5.0
5,187.6
5,128.7
558.5
5,210.6
540.1
57.0
54.7
571.0
5.7
58.4
51.0
51.0
51.0
5.9
5.9
572.4
572.4
580.9
500
51.6
5.60
5,643.1
51.6
55
57.0
500
57.0
523.1
53
526.7
550.3
52
538.8
5,847.7
574.4
5,927.6
52.6
529.0
513.6
534.3
524.6
5,918.7
5.39
5.12
5.39
546.2
5.3
5.4
51.6
5.7
59.9
5
5.3
5
5.2
5,847.7
5,927.6
5
5
57.2
51.6
51.6
59.2
59.2
51.6
51.6
59.2
59.2
540.9
540.9
500
5.0
5.2
5
5.6
5.6
59.8
5
54.4
54.8
57.3
52.0
57.1
509.6
521.7
501.0
519.2
58.4
57.1
5.2
572.4
5.00
5.31
5.00
5.30
505.8
52.9
51
50
56.8
5.6
50.8
5.2
5,847.7
5,927.6
5,849.2
5,427.7
57.0
57.0
We found 89 numbers that start with the digit 6. Here they are:
61.3
637.2
6.9
63.8
6.9
62.5
6.9
610.8
6,363.0
611.4
637.4
677.9
670.4
6,225.5
6.9
66.9
6.5
60.9
64.7
645.6
60.1
6.9
63.8
6.0
62.5
6.7
6.1
64.4
6.7
6,042.6
6,225.5
64.4
6.8
6.8
66.1
66.1
695.5
667.9
65.6
6.0
6,794.6
65.5
62.3
61.0
63.5
6.3
6.7
6.7
6.0
6.7
6.7
6
67.4
66.4
60.0
6
6
6.4
60.6
62.0
6.4
6.9
65.2
6.5
63.8
6.0
640.6
67.8
61.3
61.3
600
655
65
631.3
6.4
667.9
694.2
6.7
65.6
66.3
6.7
6,990.9
6,215.6
631.3
694.2
61.3
637.2
6.8
6.8
7's 8's 9's
We found 76 numbers that start with the digit 7. Here they are:
711.4
7.77
7.77
7.0
78.8
7.4
75.6
769.7
766.0
707.6
773.2
750.4
710.0
72.7
787.4
777.9
792.1
792.1
792.1
75.6
782.5
782.5
782.5
73
7.5
7.3
75.3
760.5
774.1
727.4
7
779.7
7
71.1
76.2
75
769.7
766.0
779.2
74.5
78.6
79.7
73.1
78.8
7
7.6
7.6
78.3
7
7.35
79.3
79.1
79
7.0
75.7
7
78.3
7.0
7.4
7.77
7.77
710.1
70
75
7.3
774.1
727.4
78.2
779.7
73.9
753.9
750.4
71.1
726.3
710.0
7,436.5
We found 44 numbers that start with the digit 8. Here they are:
84.8
8.5
82.3
8.5
84.9
8.7
887.1
83.5
830.7
87.8
81.4
81.4
8.5
887.1
887.1
800.0
800.0
8
80.6
82.5
82.3
8.2
8.2
84.8
8
8
86.8
86.8
86.8
86.8
8
87.5
83.5
8.3
8
8
84.9
84.9
8.4
87.9
8.3
81.3
8.7
8,477.4
We found 40 numbers that start with the digit 9. Here they are:
9.2
93.1
97.9
905.1
970.3
965.3
918.0
97.9
93.1
9
937.6
90
9
94.7
94.7
94.7
947.1
999.1
945.4
905.1
9.7
905.1
911.4
9.6
9.2
9.4
9
9
9.7
97.2
95.6
9.5
92
9.0
95,490
965
920
94.7
9.5
99.0
While the above APD 10Q Filed 5/1/2025 is interesting in isolation, we have found that it is also useful to take a look at older Air Products & Chemicals, Inc. filings processed by our Benford's Law Stocks algorithm, to see how the company's filings "typically look" on a Benford's Law analysis. Below we repeat the 10Q Filed 5/1/2025 but instead of the chart comparing against the typical company across our coverage universe, below we show the same chart compared against the typical APD 10Q and 10K filings that we have processed historically. This is followed by similar charts for each of those historical filings.

31.8
19.2
13.8
8.6
9.1
6.3
5.4
3.1
2.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 1,414

= Typical APD range from 7/23/2020 to 5/1/2025
32.2
19.5
11.7
10.2
7.6
5.5
5.0
4.4
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 1,353

= Typical APD range from 7/23/2020 to 5/1/2025
30.1
19.0
11.3
7.9
8.9
6.9
6.6
4.5
4.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 2,269

= Typical APD range from 7/23/2020 to 5/1/2025
34.8
16.2
10.9
7.5
10.7
6.7
6.0
4.5
2.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 823

= Typical APD range from 7/23/2020 to 5/1/2025
31.1
19.1
12.0
10.6
9.3
5.3
4.5
3.5
4.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 1,274

= Typical APD range from 7/23/2020 to 5/1/2025
32.6
19.2
11.8
8.8
8.1
6.0
5.0
5.0
3.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 1,279

= Typical APD range from 7/23/2020 to 5/1/2025
29.6
20.8
12.0
11.0
7.9
5.0
5.2
5.2
3.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 2,278

= Typical APD range from 7/23/2020 to 5/1/2025
32.8
19.4
14.3
9.4
7.9
6.8
2.6
2.9
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 80
XBRL?   [ original filing ]
Total numbers found: 891

= Typical APD range from 7/23/2020 to 5/1/2025
33.7
18.8
11.6
8.5
7.0
6.8
6.2
4.5
2.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 98
XBRL?   [ original filing ]
Total numbers found: 1,348

= Typical APD range from 7/23/2020 to 5/1/2025
32.3
17.8
11.0
9.8
10.2
5.2
5.1
4.0
4.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 1,338

= Typical APD range from 7/23/2020 to 5/1/2025
28.7
20.2
11.4
8.1
9.3
6.0
6.2
5.2
4.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 2,150

= Typical APD range from 7/23/2020 to 5/1/2025
32.5
17.7
10.2
11.9
9.2
3.9
6.2
4.5
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 84
XBRL?   [ original filing ]
Total numbers found: 796

= Typical APD range from 7/23/2020 to 5/1/2025
30.9
20.5
10.9
10.9
7.7
5.2
3.5
4.7
5.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 80
XBRL?   [ original filing ]
Total numbers found: 1,281

= Typical APD range from 7/23/2020 to 5/1/2025
31.7
19.4
12.2
10.0
7.5
6.3
5.1
4.5
3.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 1,324

= Typical APD range from 7/23/2020 to 5/1/2025
31.6
17.5
13.1
9.0
8.4
6.4
5.4
4.4
4.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 2,283

= Typical APD range from 7/23/2020 to 5/1/2025
35.5
16.3
14.1
8.0
6.9
7.5
5.1
4.1
2.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 870

= Typical APD range from 7/23/2020 to 5/1/2025
33.1
19.0
10.5
9.2
8.7
8.1
4.4
4.5
2.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 94
XBRL?   [ original filing ]
Total numbers found: 1,312

= Typical APD range from 7/23/2020 to 5/1/2025
32.6
17.3
11.1
8.6
11.7
5.5
5.1
4.9
3.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 85
XBRL?   [ original filing ]
Total numbers found: 1,274

= Typical APD range from 7/23/2020 to 5/1/2025
28.4
21.1
11.6
8.7
8.5
5.7
5.8
6.0
4.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 83
XBRL?   [ original filing ]
Total numbers found: 2,084

= Typical APD range from 7/23/2020 to 5/1/2025
32.7
22.5
7.6
13.9
7.4
3.7
3.1
4.3
4.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 52
XBRL?   [ original filing ]
Total numbers found: 786

= Typical APD range from 7/23/2020 to 5/1/2025
 

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