On this page of Benford's Law Stocks.com we present our study of 3D SYSTEMS CORP — ticker symbol DDD. SEC filings have been screened by our Benford's Law software, for quarterly 10Q and annual 10K filings from 3/5/2021 to 11/4/2025 for 3D SYSTEMS CORP under CIK number 0000910638. 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 DDD, 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 3D SYSTEMS CORP based on the past DDD filings our system processed in the past.
38.4
16.7
10.5
10.3
7.4
3.3
4.8
4.1
4.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
XBRL?   [ original filing, DDD stockholder letter ]
Total numbers found: 848
Recent share count: 128,252,556 (1's column)

= Typical range across full coverage universe
Benford's Law Stocks Indicator
848
Normal count compared to other filers, falling within the middle 50%. At this number count, it would take about 8 numbers to move any given column by a full percentage point.
85

Starting from a possible score of 100, we made the following score deductions:
 • We deducted points upon observing the 1's percentage was above the typical coverage universe range.
 • We deducted points upon observing the 1's percentage was above the company's typical historical range.
 • We deducted points upon observing the 6's percentage was below the typical coverage universe range.
 • We deducted points upon observing the 6's percentage was below the company's typical historical range.
 • The 7's percentage was higher than the 6's percentage, increasing the penalty multiplier.
 • The 9's percentage was higher than the 8's percentage, increasing the penalty multiplier.
 • This is the 2nd column with percentage higher than the prior column, resulting in a penalty deduction.
Benford's Law Stocks Indicator
DDD
Normal-to-high score compared to other filers, falling within the top of the middle 50%.
CRS
DBI
R
HMN
CURV
DBP
EPC
FR
Check our work! We provide our 3D SYSTEMS CORP 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 DDD 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 326 numbers that start with the digit 1. Here they are:
128,738,014
171,324
101,471
132,469
118,530
1,561
16,673
18,020
15,573
14,879
11,789
10,251
132,350
139,096
122,600
1,958
128,245
135,510
128
136
1,579,809
1,593,366
1,312,846
1,362,243
176,193
160,835
119,792
120,345
112,940
105,748
129,571
182,357
199,364
129,733
118,624
166,772
16,025
143,733
143,733
171,693
180,758
1,960
1,550
1,924
1,944
125,681
1,958
1,067
135,439
19,352
181,825
1,331
1,254
18,053
178,736
109
18,053
178,627
14
1.35
1.69
14
1.35
1.69
125,273
132,235
129,979
131,621
125,273
132,235
178,397
131,621
18,053
178,736
13
10,150
1,768
10,163
1,772
168,573
109
168,464
16,280
1,063
1,805
17,339
10,332
1,458
148
126,251
1,649
1,154
143,733
18,288
15,474
11,650
10,798
119,400
108,276
13,152
169,987
14,960
1,168
1,003
141,538
172,881
114,239
191,573
190,005
126
122
18,571
1,446
114,239
191,573
1,955
1,655
1,016
16.8
135,510
136
1,593,366
1,362,243
176,193
1
1
135,361
135
1,596,747
1,399,229
145,639
1
1
158
104,436
104,436
14
14
14,952
14,960
132
127,987
128
1,578,836
1,294,793
107
1,198
1,198
18,053
18,053
128,245
128
1,579,809
1,312,846
133,619
134
1,577,519
1,106,650
1,710
1,710
16,001
16,001
133,803
134
1,582,325
1,122,651
1,196
1,196
133,587
134
1,584,145
1,149,909
1,248
1
1
178,627
178,627
13
13
163
163
10,150
10,150
134,826
135
1,588,911
1,328,536
1.6
1.5
10.5
1.7
12.1
101.4
1.4
159,491
193,285
108,300
112,940
157,386
190,796
13,377
17,808
11.2
10.9
19.9
17.4
1,772
132,469
118,530
12.9
1.6
1,187
1,561
149
1,408
119.4
125.7
1,447
10,251
1.0
1.0
179.7
16.8
1.87
100
130
130
1.0
1.1
126,747
122,600
179.7
1.5
110.5
1.8
1,198
1,805
17,339
11.2
1.0
13.6
14.6
1.1
18,053
178,627
163
18,053
178,790
18,053
178,790
1,455
18,053
178,790
125,273
132,235
129,979
131,621
1,480
125,273
132,235
178,397
131,621
14
1.35
1.69
14
1.35
1.69
1.87
171
171
10,150
13
10,163
151
171
1,768
1,772
129,123
149,369
151,504
179,728
112,940
106,060
112,734
182,357
199,364
16,420
13,011
18,391
129,733
118,624
166,772
16,025
143,733
143,733
1,960
1,550
1,924
1,944
125,681
19,352
181,825
1,385
1,289
1,786
17.4
15.0
10.0
10.0
10.0
10.0
1.2
175.0
175.0
1.8
189,409
14.5
1,859
1,859
1,024
1,409
192
1,388
1,859
1,024
We found 142 numbers that start with the digit 2. Here they are:
2,433
2,063
2,241
25,540
27,298
211,995
2,076
25,599
25,001
2,192
220,000
221,100
208,752
280,627
25,709
23,694
29,431
20,764
222,471
21,310
247,032
2,623
2,171
21,719
24,801
222,231
2,630
2,496
2,403
222,138
252
221,886
29
222,138
20
21,119
220,366
252
21,119
220,114
222,138
27,774
21,518
2,403
2,594
2,645
2,450
271
2,526
285
285
2,507
2,507
241,246
225
225
221,100
224
2,711
2,711
27,258
27,258
2
2
23
23
218,032
26.2
23.2
2.7
2.5
2
27,781
2,259
2.3
2.0
21,969
27,512
280,627
294
294
2,941
2,260
2,031
21,712
20,696
23,743
25,747
2.0
2.0
21.4
2.24
20
232
214,378
2,383
211,995
214,378
2,383
211,995
21.5
2,103
2.38
2.2
250
250
2.4
221,886
222,222
222,222
222,222
29
2,992
250
2.41
20
280,627
26,367
23,322
29,431
20,764
2,623
2,171
21,719
222,231
2,257
2.8
2.3
20
2,650
2,106
2,268
2,384
2,431
2,567
2,813
2,289
211,995
23
23
23
2,916
We found 89 numbers that start with the digit 3. Here they are:
3,072
34,329
3,176
361,228
3,217
34,569
39,182
3,280
331,257
38,938
39,972
329,097
36,109
34,716
376,765
3,454
3,202
3,560
38
3,066
3,066
3,560
37,109
3,400
3,425
333,111
3,155
3,820
3,199
3,666
3,666
36,986
36,986
3,046
3,046
320
320
365
3,066
3,066
350
381,729
31.2
3
3
32,010
3,989
31,770
34,269
30.2
32,592
36,864
329,097
3,481
3.5
3
3,669
3,176
303
35.92
3
3
34,717
34,485
3,915
3,666
3.1
336
38
3.77
3,066
3,066
305
318
314
318
329,097
31,734
35,451
39,493
34,716
3,454
3,202
3.0
355.0
355.0
34,485
30,759
318
4's 5's 6's
We found 87 numbers that start with the digit 4. Here they are:
4456328
43,582
428,830
47,798
49,773
41,833
48,521
45,488
4,712
47,428
430,695
45,991
47,533
41,713
475
4,343
49,397
49,397
49,397
4
49,397
451
4,844
4,533
4,553
4,580
42,925
45,991
44,250
426,753
408,365
4,952
4,952
42,478
42.3
4.8
43,239
49,353
47,793
43,138
47
491
46
4.4
4.4
4.4
40.0
460.0
4,147
47
49,397
49,397
49,397
46,938
4,856
4,612
43,096
42,925
46,162
45,991
42,796
42,478
46,162
45,991
44,564
44,250
4
42,796
42,478
42,787
48,462
45,444
41,713
475
4,070
4,009
493
45
49,276
49,276
489
469
427
431
469
489
469
We found 63 numbers that start with the digit 5. Here they are:
52,168
51,044
50,715
554,549
5,077
52,527
55,066
554,549
52,311
57,974
53,069
50,741
5,800
51
58,472
58,472
5,158
5,972
530
58,642
55,066
53
52,014
534
51,443
52,641
5
5.9
5.2
5.1
5.8
52,239
51,855
5.1
529
50
5,077
5,051
5.875
5.875
594
5.875
50,852
5,532
52,946
52,641
55,217
55,066
55,056
57,884
52,826
57,974
53,069
5,800
51
5.1
5.875
523
5,589
535
523
523
5,085
We found 28 numbers that start with the digit 6. Here they are:
608,846
608,846
69,793
61,818
66,260
606
62,016
6,422
6,831
6
6
6,591
6,591
6.1
6.7
66,500
6,418
65,471
6.6
61,818
62,739
66,994
66,260
606
62,016
669
669
669
7's 8's 9's
We found 41 numbers that start with the digit 7. Here they are:
72,968
76,609
71,227
73,423
774
784
7,335
7,382
7,370
7,201
73,131
7,995
715
766
784
7
7
75
75
7,186
7,186
793
793
7.9
7.7
7.2
71,911
77
765
7,197
7,991
79
78.0
75.0
78.0
76,297
71,227
774
784
7,335
726
We found 35 numbers that start with the digit 8. Here they are:
88,074
8,119
8,726
8,203
809
8,601
87,218
830
8,000
8
8,943
8
8
82,904
812
8
88,115
8.2
87.2
810
8
826
8.0
86,630
8
88,115
8.5
8,001
8,001
807
8
899
8,001
807
8,001
We found 37 numbers that start with the digit 9. Here they are:
95,542
9,514
91,249
98,270
9,059
9,055
9,075
993
9,843
96
92,030
98,340
90,747
95,542
96
9,075
98
98
9
9.8
96
99,167
9,576
91,249
917
9
92.0
92,030
92.0
9,055
9,075
91,249
98,270
9.0
98,212
98,212
92,030
While the above DDD 10Q Filed 11/4/2025 is interesting in isolation, we have found that it is also useful to take a look at older 3D SYSTEMS CORP 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 11/4/2025 but instead of the chart comparing against the typical company across our coverage universe, below we show the same chart compared against the typical DDD 10Q and 10K filings that we have processed historically. This is followed by similar charts for each of those historical filings.

38.4
16.7
10.5
10.3
7.4
3.3
4.8
4.1
4.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 85
XBRL?   [ original filing ]
Total numbers found: 848

= Typical DDD range from 3/5/2021 to 11/4/2025
32.6
19.6
15.2
7.8
8.8
5.1
3.9
3.5
3.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 89
XBRL?   [ original filing ]
Total numbers found: 1,363

= Typical DDD range from 3/5/2021 to 11/4/2025
33.5
16.2
12.5
9.0
9.6
5.0
6.4
4.8
3.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 87
XBRL?   [ original filing ]
Total numbers found: 624

= Typical DDD range from 3/5/2021 to 11/4/2025
31.9
14.7
12.4
11.8
8.6
7.3
6.4
3.8
3.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 1,006

= Typical DDD range from 3/5/2021 to 11/4/2025
30.4
15.2
15.2
11.3
5.2
6.1
7.1
4.9
4.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 85
XBRL?   [ original filing ]
Total numbers found: 938

= Typical DDD range from 3/5/2021 to 11/4/2025
30.0
17.9
13.5
8.6
6.8
8.0
6.5
5.1
3.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 94
XBRL?   [ original filing ]
Total numbers found: 1,288

= Typical DDD range from 3/5/2021 to 11/4/2025
34.1
14.2
8.1
9.7
7.5
6.6
8.8
6.1
5.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 70
XBRL?   [ original filing ]
Total numbers found: 558

= Typical DDD range from 3/5/2021 to 11/4/2025
33.7
14.4
11.6
10.2
8.2
6.7
4.9
5.0
5.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 86
XBRL?   [ original filing ]
Total numbers found: 796

= Typical DDD range from 3/5/2021 to 11/4/2025
36.5
16.7
11.9
10.1
7.8
5.1
5.8
2.9
3.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 87
XBRL?   [ original filing ]
Total numbers found: 898

= Typical DDD range from 3/5/2021 to 11/4/2025
29.0
17.1
16.6
8.5
8.3
6.0
5.5
4.6
4.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 96
XBRL?   [ original filing ]
Total numbers found: 1,357

= Typical DDD range from 3/5/2021 to 11/4/2025
28.7
17.3
14.9
10.6
8.2
5.0
7.6
4.3
3.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 94
XBRL?   [ original filing ]
Total numbers found: 698

= Typical DDD range from 3/5/2021 to 11/4/2025
28.5
14.4
16.2
12.3
6.5
7.4
5.8
4.7
4.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 82
XBRL?   [ original filing ]
Total numbers found: 959

= Typical DDD range from 3/5/2021 to 11/4/2025
33.6
16.1
10.3
9.6
7.3
6.3
7.5
5.3
4.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 750

= Typical DDD range from 3/5/2021 to 11/4/2025
31.0
17.9
11.7
8.6
6.2
8.2
6.8
5.1
4.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 89
XBRL?   [ original filing ]
Total numbers found: 1,227

= Typical DDD range from 3/5/2021 to 11/4/2025
31.4
17.2
16.0
8.0
10.2
4.9
5.7
2.7
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 70
XBRL?   [ original filing ]
Total numbers found: 512

= Typical DDD range from 3/5/2021 to 11/4/2025
33.3
17.0
9.8
12.1
8.5
5.3
4.7
4.0
5.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 81
XBRL?   [ original filing ]
Total numbers found: 879

= Typical DDD range from 3/5/2021 to 11/4/2025
30.6
13.6
13.8
11.1
7.4
7.2
8.5
3.8
4.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 69
XBRL?   [ original filing ]
Total numbers found: 988

= Typical DDD range from 3/5/2021 to 11/4/2025
30.6
16.2
14.5
8.4
7.9
6.5
7.2
4.5
4.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 96
XBRL?   [ original filing ]
Total numbers found: 1,317

= Typical DDD range from 3/5/2021 to 11/4/2025
26.9
17.5
14.2
12.6
6.5
6.1
6.2
5.9
4.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 691

= Typical DDD range from 3/5/2021 to 11/4/2025
31.1
12.8
13.9
10.1
7.4
8.4
7.2
4.6
4.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 82
XBRL?   [ original filing ]
Total numbers found: 734

= Typical DDD range from 3/5/2021 to 11/4/2025
 

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