On this page of Benford's Law Stocks.com we present our study of ARCH CAPITAL GROUP LTD. — ticker symbol ACGL. SEC filings have been screened by our Benford's Law software, for quarterly 10Q and annual 10K filings from 11/4/2021 to 8/4/2026 for ARCH CAPITAL GROUP LTD. under CIK number 0000947484. 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 ACGL, 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 ARCH CAPITAL GROUP LTD. based on the past ACGL filings our system processed in the past.
28.1
20.9
12.8
11.0
6.3
6.4
4.8
4.7
4.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
XBRL?   [ original filing, ACGL stockholder letter ]
Total numbers found: 1,783
Recent share count: 349,389,588 (3's column)

= Typical range across full coverage universe
Benford's Law Stocks Indicator
1783
High count compared to other filers, with ACGL falling in the highest 10% of filers. At this number count, it would take about 18 numbers to move any given column by a full percentage point.
88

Starting from a possible score of 100, we made the following score deductions:
 • We deducted point upon observing the 2's percentage was above the typical coverage universe range.
 • We deducted point upon observing the 5's percentage was below the typical coverage universe range.
 • We deducted point upon observing the 5's percentage was below the company's typical historical range.
 • The 6's percentage was higher than the 5'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.
 • We deducted points (includes the impact of penalty multiplier) upon observing the 9's percentage was above the company's typical historical range.
Benford's Law Stocks Indicator
ACGL
Normal-to-high score compared to other filers, falling within the top of the middle 50%.
Check our work! We provide our ARCH CAPITAL GROUP LTD. 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 ACGL 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 501 numbers that start with the digit 1. Here they are:
16
1,864
1,109
1,323
1,313
18
17
1,794
1,717
180
1,163
1,222
11,493
10,100
1,136
1
1
17
104
116
115
196
162
18
16
1,448
1,588
107
10
115
1,175
1,411
164
1,057
1,237
1,811
10
10
1,047
1,227
1,791
1,057
1,237
1,811
113
1,597
1,686
1
1
1
1
15
1,057
1,237
1,811
10
10
134
129
187
129
138
123
138
123
1,167
163
1,980
1,811
107
1,039
1,386
1,450
1,294
19
109
19,163
17,568
1,232
16,367
13,823
1,043
1,091
1,326
106
1,949
19
1,977
12
1
1,760
1,808
191
149
10
165
180
175
18
174
130
1.9
1,057
1,237
1,811
10
10
1,047
1,227
1,791
1.4
1.6
1.5
1.7
1,358
1,933
1,844
13
1,880
1,820
15
1,185
19
114
17
196
12
10
1,175
164
1,057
10
1,047
19.9
18.7
18.0
15.6
15.4
10.4
1,163
1,137
1,848
11
1,969
13
1,178
1,128
1
118
129
162
18
18
1,411
1,237
10
1,227
1.2
19.6
19.0
14.0
16.0
15.2
105
1,319
12,551
1,461
102
16
116
1,940
10
1,448
100
1,385
104
18.8
1.9
18.2
15.9
14.8
10.7
12,659
1,357
130
140
16
14
115
1,588
100
127
1,235
16
115
1,811
1,791
19.1
18.6
14.8
14.9
15.8
169
153
1,428
1,320
1,697
1,744
123
169
13
125
125
152
1
153
14
133
15
11
1
1
1
18
18
17
19
17
1
18
17
19
1
14,231
102
198
14,333
1
11
1,549
1,551
119
123
158
16
1
1
159
16
14,058
142
10
13,945
15
1
1,212
11
1
1,207
162
166
1
116
1,205
198
128
1,976
1,839
15
11
1,414
19
144
19
1,558
119
119
173
1,106
1
1,106
1
173
1,364
142
15
13
1,138
15
178
18
1
137
143
120
169
12,279
1
1
10,128
121
169
12,893
13,090
16,827
16,940
17,053
16,989
1,549
1,551
1,212
1,207
1.9
1,957
1,175
1,110
1,364
1,225
175
173
15
1,957
10
17
11
129
163
142
17
115
120
146
169
18
14
116
1
1
139
104
1,643
1,616
16
196
162
1
13
1
1
1
1
16
12
1
1
10
16
10
1
1
1
1
1
16
12
1
1
10
16
1,678
1,898
14,638
14,953
1,109
1,074
14,231
14,117
114
1,549
1,549
119
119
144
14
10
1,168
1,168
13
157
1,715
1,341
13,194
14
14
108
108
122
108
14
14,058
13,930
128
17
1,212
1,212
162
162
145
1,864
1,829
180
180
1,102
1,102
166
1,559
1,293
11,607
18
18
18
116
14
1
1
1
114
10
14
150
1
14
18
1
16
17
145
17
128
18
1
1
1
1
13
1
114
10
14
189
1
14
1
12
17
145
100
10,699
108
19
15
161
180
108
180
17
163
139
11
1.4
100
199.1
16
10
122
149
130
172
191
198
14
1
10
1
12
113
10
18
1
1
11
12
12
11.1
15.6
1.3
1.4
191
149
124
163
We found 373 numbers that start with the digit 2. Here they are:
20
2,624
2,625
2,280
2,264
2,270
2,659
2,320
2,270
2,277
240
237
2,729
2,873
2,735
29,129
27,045
261.8
240.8
24,030
24,206
229
232
215
25
2,196
2,303
2,284
2,089
214
262
2,104
20
20
2,084
2,104
24
2,483
2,831
2,588
2,735
2,510
25
27
2,873
2,660
2,873
2,660
28,082
23,250
27,045
22,686
2,104
20
20
29,129
24,477
29,129
24,477
204
221
296
275
275
213
24,030
23,041
24,030
23,041
2,104
231
263
2,510
2,582
2,039
240
22
21
26
2,174
2,236
20
20
2
2,067
2,006
2,332
224
220
2,468
276
276
24
20.7
2.2
2,104
20
20
2,084
2.4
2.2
2.4
2.4
2,603
2,077
272
24
285
2,196
2
27
220
22.8
2,681
2,036
2,059
253
28
28
2,087
281
2,303
288
238
229
29
214
20.9
2,596
26
2,311
246
25
2,284
262
2,104
20
2,084
20.0
22.6
2,315
260
2,406
2,484
245
232
215
28
2,089
20
20.7
29,369
24,963
22,567
24,493
21,548
2,365
2,456
2,196
2,303
2
269
2,917
2,640
25,464
23,576
25,464
23,576
27
2
26
295
249
201
28
25
202
2
200
22
26
29
2
2
2
2
2,253
2,264
2,212
2,280
2,270
2,264
2,161
2,280
26
2,876
26
2,928
2,643
2,670
265
23
21
20
2,705
21
2,692
289
20
2,625
2
2,624
290
20
2,465
2,155
26
2
20,636
241
2,441
23,077
21,742
242
2,441
24,183
2,972
274
21
2,087
2,519
2
21
239
287
2,765
289
2,765
290
26,340
25,330
25,286
25,500
24,935
24,853
2,643
2,670
2,705
2,692
2.3
2,144
249
250
245
220
2
2
2,144
26
24
21
25
24
21
20
24
217
2
229
22
2
262
232
2,485
2,397
231
245
215
29.9
21
2
2
2
2
2
2
28
20
2
2
22
2
2
2
28
2,006
2,067
278
26
2,876
2,876
2,643
2,639
24,951
2,874
2,280
2,256
227
227
272
27,011
2,705
2,705
24,836
2,625
2,326
299
26
24
24
2
22
232
277
26,658
29
249
2
25
27
272
206
29
2
2
2
208
20
232
2
2
29
272
2
2
24
2
22
208
20
2.7
2.5
2,273
227
2,458
24
227
27
262
218.7
20
21
24
24
2
2
24
2
2
22
28
2.0
2.0
We found 228 numbers that start with the digit 3. Here they are:
341,229,126
33,427
32,329
33,155
32,426
3,298
3,298
3,381
3,136
325
338
3,669
34,775
33,547
3,234
308
3,715
3,517
3,985
356
30
30
38
31
3,493
3,802
335
3.05
3.30
3.00
3.23
343.2
372.2
348.2
372.6
348.8
379.9
354.2
380.8
303
333
392
338
308
3
359
398
398
369
3,296
3,122
359.7
3.0
343.2
372.2
348.2
372.6
348.8
379.9
354.2
380.8
3.05
3.30
3.00
3.23
3,202
324
3,985
37
375
341
308
30
32
30
325
3,196
323
3
3
387
38
3.5
339
3,839
369
31
3,751
3,651
34
356
31
3,796
3,969
338
3,829
335
3.9
34,105
30,946
33,547
389
350
329
3,246
3,505
34,775
32,089
34,775
32,089
33
32
389
3
355
350
39
3
37.7
37.9
3,677
3,706
38
33,155
33,427
3,298
3,298
36,453
36,725
3,574
3,577
3,270
3,299
34
32,426
32,329
35,051
34,953
32
316
38
3,092
3,366
35
332
312
3
370
366
3,677
3,706
3,574
3,577
33,155
33,427
32,426
32,329
3,381
3,136
386
360
35
35
3
3
3
34
3
349
346
324
37
3.6
356
30
31.75
30
3
3
3
3
3
3
3
363
3,677
3,651
33,155
3,298
3
3
3,380
320
3,574
3,557
3,270
3,270
32,426
3
3
398
3,136
3
3
30
34
3
39
3
3
30
33
3
31
36
375
38
3.7
31
31
30
304
303
360
360
3
30
308
4's 5's 6's
We found 197 numbers that start with the digit 4. Here they are:
48,966
46,504
41
43
4,286
413
4,337
417
405
4,668
4,285
4,890
471
454
44
47
48
44
46
40
4.81
4.70
433
42
45
47
41
408
409
413
48
413
48
4,716
4,487
4,879
4,879
43
426
44
410
455
48
450
450
475.7
4.1
4.2
4.5
4.81
4.70
4,049
49
471
410
417
44
46
4.2
4,348
4,337
46
436
48
454
451
405
48
40
4
4,154
4,020
426
4,285
441
43
4.7
4,375
4,115
4,890
490
4,674
4,285
4,890
400
424
43
41
46
45
45
437
48
44
46
41
43
46
43
41
45
46
4
414
415
4
406
408
489
45
40
4
4
414
415
4,336
432
46
490
48
4
4
4
4
4
442
429
417
405
42
4
44
4.1
486
46
40
4
4
4
42.5
40.3
4
424
4
4
44
4
4
429
4
42,394
474
40
40,255
431
46
4
4
41
44
4
4
44
45
40
46
42
43
44
4
4
45
4.3
4.1
41
44
40
4.011
4.4
42
42
43
43
43
493
48
49
4
42
45
42
430
433
407
418
45
419
We found 113 numbers that start with the digit 5. Here they are:
5,723
564
55,035
599.8
5
57
5,213
57
5.99
5.88
537
51
5
507
582
546
52
5
555
5.99
5.88
52
53
5
57
54.6
55.1
59.8
54.1
53.1
5,300
538
569
50
53.1
5.9
53.8
5,326
519
581
5
582
57
57.4
5,240
50
50
593
5
5
5,723
5,634
5
5
53
5
57
591
5
5
536
552
57
5
5
50
50
54
53
56
54
558
534
501
50
554
57
5
5
5,584
5,323
54
54
57
5
5
5
5
5
5
5
5
5
5
53
5
5
5
53
5.250
5.950
5.144
5.031
576
52
57
50
52
549
537
57
580
550
We found 115 numbers that start with the digit 6. Here they are:
6,852
6,453
6,878
6,796
61,149
602.7
6,410
62
60
6,905
64
64
6,410
60
663
657
655
61
65
64
636
6.1
6.5
6,126
670
64
657
63.0
6.5
6,196
645
67
62
6,616
640
688
623
60
61.6
6,690
649
62
618
62.8
60.4
68
6
6
64
64
61
60
6
6,526
6,607
62.3
62.1
6
6
6
6
64
6
6,483
6,611
64
631
64
6
6
614
614
692
693
6,893
6,877
619
621
64
63
69
6
649
6,852
6,453
6,852
6,453
6,868
6,453
65
664
6
6
6
6
6,437
6,784
64
64
60
63
64
600
65
64
6
6
63
62
6
62
64
6
694
672
7's 8's 9's
We found 85 numbers that start with the digit 7. Here they are:
7,160
7
7
79,241
79,241
7,971
783
718
73
7,797
7
720
71
75
75
7,223
79
7
71
718
77.5
747
70
78.5
7,971
74
750
76.6
730
783
79
73
7,821
75
7
79
7,160
7,067
7,160
7,067
7
7
7
7
77
7
7,445
7,443
7
77
7
78
7,240
7,231
7,315
770
702
783
7
76
767
707
7
7
7,445
7,445
7,445
7
72
72
72
7
7
73
74
70
75
72
72
76
7
7
7
7
7
We found 83 numbers that start with the digit 8. Here they are:
85,179
830
830
8,390
85,179
8,525
825
824
81
88
82
830
830
830
830
8,390
8,390
83.5
824
818
88
81.2
875
8,397
88
851
825
81
82
82.7
8,863
8,525
85
853
85.0
85.5
8,379
865
8,513
8,513
8
81
89
86
8,969
8,260
8.4
8.1
8,060
8
8,116
8
81
8,333
82
81
806
87
879
836
825
83
8
85
8
87
818
82
8
897
8,060
8,060
8,060
8
8
81
8,022
83
81
8
8
80
88
We found 88 numbers that start with the digit 9. Here they are:
993
9,964
9,526
9,189
9,886
969
927
93
97
9
9
90
977
97
99
9
9
90
97
97
99
915
987
952
9
9.7
992
9
98.5
91
9.1
93.4
969
93
97.5
927
97
9
9.5
96.7
9,142
9,054
9,311
9,311
97
99
99
9,732
9,964
9,044
9,526
9,964
9,044
9,964
9,526
95
9
9,538
9,514
94
9
9
94
9
9
9
9
939
948
993
9
9
90
9
9
9
90
9
97
96
93
90
94
9
94
9
9
90
While the above ACGL 10Q Filed 8/4/2026 is interesting in isolation, we have found that it is also useful to take a look at older ARCH CAPITAL GROUP LTD. 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 8/4/2026 but instead of the chart comparing against the typical company across our coverage universe, below we show the same chart compared against the typical ACGL 10Q and 10K filings that we have processed historically. This is followed by similar charts for each of those historical filings.

28.1
20.9
12.8
11.0
6.3
6.4
4.8
4.7
4.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 1,783

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.7
19.3
14.5
8.8
7.4
7.0
4.9
4.6
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 98
XBRL?   [ original filing ]
Total numbers found: 1,755

= Typical ACGL range from 11/4/2021 to 8/4/2026
30.1
19.8
12.0
10.3
7.9
6.2
4.6
4.9
4.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 4,056

= Typical ACGL range from 11/4/2021 to 8/4/2026
32.2
20.1
11.7
7.7
7.6
5.2
6.8
4.7
4.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 92
XBRL?   [ original filing ]
Total numbers found: 1,241

= Typical ACGL range from 11/4/2021 to 8/4/2026
30.8
18.7
11.5
8.6
9.2
7.5
5.2
4.8
3.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 96
XBRL?   [ original filing ]
Total numbers found: 1,766

= Typical ACGL range from 11/4/2021 to 8/4/2026
32.6
15.4
13.6
10.3
7.1
6.9
4.8
5.1
4.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 2,231

= Typical ACGL range from 11/4/2021 to 8/4/2026
30.9
19.0
13.3
10.1
7.0
6.5
4.5
4.4
4.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 4,675

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.1
21.5
14.9
8.0
7.0
6.2
5.3
4.4
3.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 1,249

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.0
22.5
11.7
8.7
6.0
7.4
5.5
5.6
3.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 85
XBRL?   [ original filing ]
Total numbers found: 1,754

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.9
20.3
13.0
9.4
7.5
6.2
5.2
4.5
3.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 1,762

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.9
19.8
13.1
10.2
7.6
5.5
4.7
4.6
4.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 4,262

= Typical ACGL range from 11/4/2021 to 8/4/2026
33.5
18.4
11.7
8.1
8.1
4.8
6.2
5.6
3.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 1,261

= Typical ACGL range from 11/4/2021 to 8/4/2026
28.9
16.5
11.5
11.1
9.1
8.1
5.3
5.1
4.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 98
XBRL?   [ original filing ]
Total numbers found: 2,243

= Typical ACGL range from 11/4/2021 to 8/4/2026
30.3
14.8
13.2
12.2
7.4
7.2
5.3
4.9
4.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 2,383

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.0
18.6
12.0
11.2
8.4
6.7
5.3
4.6
4.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 4,080

= Typical ACGL range from 11/4/2021 to 8/4/2026
28.7
22.5
11.3
8.2
7.8
7.1
5.1
5.1
4.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 1,225

= Typical ACGL range from 11/4/2021 to 8/4/2026
31.7
22.1
11.5
7.5
6.8
7.9
5.4
4.3
3.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 1,755

= Typical ACGL range from 11/4/2021 to 8/4/2026
32.5
17.5
13.0
8.9
8.0
5.5
6.2
4.5
3.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 97
XBRL?   [ original filing ]
Total numbers found: 1,809

= Typical ACGL range from 11/4/2021 to 8/4/2026
29.6
19.2
13.8
10.5
7.4
5.8
4.7
4.9
4.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 4,555

= Typical ACGL range from 11/4/2021 to 8/4/2026
30.7
16.2
14.7
12.0
7.3
5.9
5.1
3.3
4.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 1,542

= Typical ACGL range from 11/4/2021 to 8/4/2026
 

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