On this page of Benford's Law Stocks.com we present our study of Discover Financial Services — ticker symbol DFS. SEC filings have been screened by our Benford's Law software, for quarterly 10Q and annual 10K filings from 7/27/2020 to 4/30/2025 for Discover Financial Services under CIK number 0001393612. 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 DFS, 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 Discover Financial Services based on the past DFS filings our system processed in the past.
35.6
17.4
11.2
8.4
6.6
4.2
5.0
5.6
5.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
XBRL?   [ original filing, DFS stockholder letter ]
Total numbers found: 1,388
Recent share count: 251,605,294 (2's column)

= Typical range across full coverage universe
Benford's Law Stocks Indicator
1388
High count compared to other filers, with DFS 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.
74

Starting from a possible score of 100, we made the following score deductions:
 • We deducted point upon observing the 1's percentage was above the typical coverage universe range.
 • We deducted point upon observing the 1's percentage was above the company's typical historical range.
 • We deducted point upon observing the 5's percentage was below the company's typical historical range.
 • We deducted point 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 8's percentage was higher than the 7's percentage, increasing the penalty multiplier.
 • This is the 2nd column with percentage higher than the prior column, resulting in a penalty deduction.
 • The 9's percentage was higher than the 8's percentage, increasing the penalty multiplier.
 • This is the 3rd 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 typical coverage universe range.
Benford's Law Stocks Indicator
DFS
Normal score compared to other filers, falling within the middle 50%.
BYD
CWK
FAF
GM
CPNG
DEA
DV
FOR
Check our work! We provide our Discover Financial Services 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 DFS 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 494 numbers that start with the digit 1. Here they are:
11,865
14,502
14,359
14,489
14,475
14,775
14,630
117,403
121,118
109,295
112,795
1,080
1,072
147,914
147,640
106,620
105,459
1,600
1,550
108,220
107,009
14,538
16,253
128,951
129,714
10,700
1,056
1,056
152
18,963
17,926
147,914
147,640
1,277
1,294
1
12
13
143
124
173
174
1,058
1,210
185
1,243
1,461
1,244
1,497
1,990
180
163
148
1,563
1,544
1,444
1,119
1,104
1,069
1,104
144
168
1,248
11
1,056
14,235
168
168
177
177
16
16
15
15
11
1,056
14,670
11
1,056
17,926
1,104
1,104
144
144
178
178
16
16
15
15
11
1,056
152
18,963
1,104
1,244
1,497
11
101
123
16
16
188
1,843
12
1
11
1,173
1,488
1,250
1
194
194
11,728
12,835
14,443
11,865
14,004
12,835
14,443
1.0192
14,146
13,988
14,775
14,630
14,122
14,146
11
14,489
14,502
1
1
14,087
108
13,988
17
14,475
125
14,359
17
1,600
11
177
1,963
17
17
11,335
14,122
125
11,374
125
14,489
11,362
14,146
121
197
11,400
121
197
14,502
15
16
18
102,786
10,096
10,314
18,376
18,332
117,403
121,118
109,295
112,795
10.8
18.5
18.6
1,154
100
106
1
1,110
144
11
1,355
157
10
12
11
155
14
13
100
100
13
100
13
1,425
1,442
18
19
177
177
1,770
1,852
1,964
1,980
19
11
15
12
11
17
123
169
123
174
1
18
12
17
14
14
15
17
14
16
101
140
1,132
13
1,244
1,711
129
1,844
1,349
106
1,459
149
1,333
134
11
1,531
1,649
113
1,812
13
1,411
100
1,556
1.69
1,711
1,649
12
15
129
113
1
1
1
1,770
1,852
1,810
123
169
11
101
125
179
136
1,949
1,943
1,856
1,964
1,980
1,940
194
123
174
11
181
105
1,999
1,091
1,091
1.10
12
10
19
14
185
13.80
14.42
13.79
13.20
168
156
194
194
1
1
1
18
161
161
1
1
1
14
1,927
18,473
18,634
1,277
1,294
1
10,050
1.03
132
138
14,538
16,253
1,002
1,432
14,538
1,000
1,000
1,070,000
1,070,000
1,056
1,056
100
190
144
190
152
180
168
134
180
126
126
13
12
16
129
129
131
1,444
1,119
1,104
1,073
1,069
17.1
12,109
10.0
16,801
14.1
11,908
10.0
18,860
15.6
14,181
11.9
18,860
12.8
14,181
17,804
14.7
14,181
11.9
16.5
12,365
10.0
17,311
14.2
12,193
10.0
18,503
15.0
14,665
12.0
18,503
12.3
14,665
17,448
14.1
14,665
12.0
140
11
10
1,224
11
15
1,246
14,146
14,146
14,146
14,502
13,988
13,988
13,988
14,359
1
1
1
1
116,614
116,614
109,295
11,865
11,865
11,865
14,665
14,665
14,538
120,422
120,422
112,795
16,347
16,347
16,253
19,250
17,750
1
1
14,621
18
15,371
1
1
1
1
1
1
1.9
1
1
1.8
14,641
15,324
1,058
185
12
1
11
1,210
103
138
1
153
153
1
1
1,243
1,243
1,244
1,244
137
1
173
180
1
1,517
1,563
1,353
1,444
114
114
1
1
1,461
1,461
1,497
1,497
132
157
163
12
19
1
140
148
1,494
1,544
1,037
1,119
16
19
137
137
132
132
1
150
100
We found 242 numbers that start with the digit 2. Here they are:
251,653,378
25
255
255
2,000,000,000
200,000,000
296
21,103
21,074
25
27,650
29,394
245
2,314
204
200
24
23
246
250
289
292
24
20
268
29,855
225
21,010
28
28
25
22
22
2,750
21,038
296
21,074
29
29
24
23
23
2,750
21,103
27
27
29
246
250
2,132
2,311
29
28
2,715
26
273
21
253
273
21
253
271
24
247
271
24
247
2,787
203
2,787
203
273
273
273
273
2,784
2,784
253
253
253
253
213
223
20,367
21
20,364
20
2
2,589
210
203
25
210
2,826
2,853
2,259
2,293
22
20
2
2
21
28
21
28
2
26
20
20
23
238
256
215
299
279
24
28
22
2
2
201
2
270
272
2,145
2,071
299
26
215
281
257
262
2,885
297
244
29
250
262
262
2
205
205
2
25
2,260
27,650
29,394
26,373
28,100
27,116
28,126
21,943
2,235
2,341
2,840
2.70
2,813
2,792
2,763
20
296
29
225
28
23
268
23.5
23.9
252
250
252
250
20,755
20,420
237.9
25
26
250
2
2
2
2
253
253
273
253
253
273
247
247
271
247
247
271
25
25
25
2
21
2
2
27
28
2
26
25
27
245
22
245
246
281
289
23
24
264
264
298
298
20
247
250
280
292
20
26
2
22
24
204
204
204
204
296
25
20
23
200
200
200
200
2
We found 156 numbers that start with the digit 3. Here they are:
3.37
34,478
33,583
321,413,252
321,268,743
3
3,979
3,938
3,558
3,487
334
321
340
3.25
3.25
37
37
3
3
3,062.50
30,461
393
33,583
3,062.50
34,478
397
375
398
3,006
358
3
35.3
346
364
367
356
37
388
371
30
356
30
371
39
367
38
356
39
38
30
30
3,042
385
31
358
3
3
3
3
3
3
3,622
3,944
33
39
34
3
3
30
34
34
362
385
3
3
34
34
3
3,622
3,892
337
3,944
31
3,032
32
3,200
313
3,041
326
3
3
3
3
3.83
3.25
3.82
3.82
3.5
3.338
37
393
31
31
3
32
32
32
37
340
31
31
3.25
3.25
356
356
356
371
371
371
366
302
302
302
315
315
315
3
3,979
38
3,938
3
3
35
3,979
3,979
352
352
316
316
3,558
3,558
3,938
3,938
333
333
3,487
3,487
3
30
31
308
334
352
321
3
341
4's 5's 6's
We found 117 numbers that start with the digit 4. Here they are:
4,728
4,946
4,966
4,678
4,651
4,801
4,948
42
42
4.25
4.25
49
4,553
4,578
4,651
4
4
410
4,678
49
475
4
4
4
4,336
439
40
4,728
4,728
4,735
4,160
4,712
478
48
48
4
4
42
49
49
4
46
4
45
40
4
4
47
42
4.77
4.88
48
4
46
44
45
46
40
4,216
4
4
4
450
40,910
4.10
4.40
4.65
499
492
4.77
4.82
4.82
4,418
4,915
493
493
49
40
49
4
4.25
4.25
4.0
4.0
4.5
4.5
4.0
4.0
4.5
4.5
4
4
4,728
4,728
4.13
41,112
41,112
40,910
42,228
42,228
41,950
4
4
4
40
4
4,801
4,801
46
4,948
4,948
42
42
489
42
42
473
We found 91 numbers that start with the digit 5. Here they are:
5,423
573,042,256
572,608,227
506
570,838
571,595
572,608
573,042
522
5
506
514
5,423
5,423
50
50
522
538
57
55
5
53
543
5
517
5
536
545
51
5
51
5
5
56
58
53
5
54
5
56
51
50
58
59
5
54
53
56
56
5
5,373
5.03
5.03
5.97
5.97
523
523
5.4
523
5.2
523
5.500
570,000
570,000
563
563
500,000
500,000
5.500
5.783
53
5,915
5,840
5.0
5,449
5,359
5,933
5.0
5,564
5,487
52,538
5,423
5,423
58
55
5
556
541
50
556
541
We found 58 numbers that start with the digit 6. Here they are:
6,193
6,452
6
6
6
693
673
671
683
6
6
6
6
68
64
60
629
642
66
6
60
642
653
68
6
6
6
61
69
67
66
6
6
6.70
6.125
6.125
65
6.0
6.0
6.0
6.5
6.0
6.0
6.0
6,003
6.5
61,332
60
65
693
673
651
671
6
672
649
693
673
7's 8's 9's
We found 70 numbers that start with the digit 7. Here they are:
740
7,237
712
735
71
732
70
70
750
7
71
750
7,963
759
785
75
77
78,660
79
76
77
7,786
7
72
7
7,403
780
7,186
773
7,619
722
7,541
756
72
70
7
740
7,250
7,237
7,237
7.96
7.96
71
79
71
7
7,266
7,266
7,145
7,300
7,740
7,419
7,419
7,316
7,417
7,926
7,223
7,223
7,237
7,442
7,442
7,301
7,891
7,891
7,778
713
735
7
7
703
We found 78 numbers that start with the digit 8. Here they are:
8,474
8,108
8,323
8,475
89
87
89
851
813
851
851
851
851
802
8,499
89
8,223
8,108
8,323
82,422
80
8
89
88
89
86
87
8,046
8
8
8
8
8
8
8
8
8
8,323
8,108
858
84
869
8.1
8
8,500
859
8,475
8,475
8
86
8
851
820
813
8.0
8.0
8.0
8.0
8.0
8.0
8,474
8,474
8,474
8,456
8,456
8,475
8
8
82
89
8
82
845
845
89
89
87
87
We found 82 numbers that start with the digit 9. Here they are:
970
95
97
96
9
970
9
9
9
9,492
91
99,027
9.2
98
99
92
94
90
9,553
95
9,797
95
97
97
97
97
97
97
96
96
98
98
9
9
9
98
99
9,283
92
9,258
91
98
9
94
91
9
920
920
92
9
9
993
993
95
9
97
95
95
9
97
97
99
9
94
9,688
9,526
9,526
9.7
9,892
9,755
9,755
9.9
970
970
970
970
970
970
998
998
998
91
While the above DFS 10Q Filed 4/30/2025 is interesting in isolation, we have found that it is also useful to take a look at older Discover Financial Services 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 4/30/2025 but instead of the chart comparing against the typical company across our coverage universe, below we show the same chart compared against the typical DFS 10Q and 10K filings that we have processed historically. This is followed by similar charts for each of those historical filings.

35.6
17.4
11.2
8.4
6.6
4.2
5.0
5.6
5.9
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 74
XBRL?   [ original filing ]
Total numbers found: 1,388

= Typical DFS range from 7/27/2020 to 4/30/2025
33.6
17.2
9.8
9.6
7.8
6.2
6.0
5.4
4.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 100
XBRL?   [ original filing ]
Total numbers found: 1,755

= Typical DFS range from 7/27/2020 to 4/30/2025
32.3
15.7
12.6
8.4
7.8
7.9
4.8
4.7
5.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 87
XBRL?   [ original filing ]
Total numbers found: 1,966

= Typical DFS range from 7/27/2020 to 4/30/2025
30.6
15.6
10.5
9.8
9.1
7.7
4.1
6.3
6.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 74
XBRL?   [ original filing ]
Total numbers found: 2,107

= Typical DFS range from 7/27/2020 to 4/30/2025
32.1
16.1
8.8
9.5
9.0
8.5
4.8
4.0
7.3
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 74
XBRL?   [ original filing ]
Total numbers found: 1,282

= Typical DFS range from 7/27/2020 to 4/30/2025
28.0
18.1
10.6
10.8
8.6
5.6
4.9
6.2
7.1
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 66
XBRL?   [ original filing ]
Total numbers found: 1,728

= Typical DFS range from 7/27/2020 to 4/30/2025
29.7
17.0
11.1
9.6
7.7
6.9
6.7
4.9
6.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 91
XBRL?   [ original filing ]
Total numbers found: 1,755

= Typical DFS range from 7/27/2020 to 4/30/2025
32.1
16.9
11.0
9.4
7.4
5.3
6.0
6.3
5.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 82
XBRL?   [ original filing ]
Total numbers found: 2,234

= Typical DFS range from 7/27/2020 to 4/30/2025
33.7
16.7
11.2
9.2
6.4
6.6
5.4
3.8
7.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 81
XBRL?   [ original filing ]
Total numbers found: 1,411

= Typical DFS range from 7/27/2020 to 4/30/2025
31.1
18.1
10.8
8.7
9.0
7.1
4.9
5.6
4.6
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 93
XBRL?   [ original filing ]
Total numbers found: 1,966

= Typical DFS range from 7/27/2020 to 4/30/2025
30.9
15.3
11.0
10.1
7.7
10.0
4.5
5.2
5.2
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 75
XBRL?   [ original filing ]
Total numbers found: 1,755

= Typical DFS range from 7/27/2020 to 4/30/2025
29.0
16.5
10.8
9.0
8.7
7.7
5.1
5.5
7.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 71
XBRL?   [ original filing ]
Total numbers found: 2,088

= Typical DFS range from 7/27/2020 to 4/30/2025
28.2
21.6
9.2
8.2
9.2
6.4
4.7
6.0
6.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 67
XBRL?   [ original filing ]
Total numbers found: 1,289

= Typical DFS range from 7/27/2020 to 4/30/2025
30.5
17.4
10.9
10.8
7.2
5.3
5.8
4.6
7.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 77
XBRL?   [ original filing ]
Total numbers found: 1,704

= Typical DFS range from 7/27/2020 to 4/30/2025
33.1
16.1
11.1
9.4
7.9
5.9
6.5
5.3
4.7
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 98
XBRL?   [ original filing ]
Total numbers found: 1,792

= Typical DFS range from 7/27/2020 to 4/30/2025
31.7
18.4
10.2
9.7
7.6
6.4
5.2
5.4
5.4
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 99
XBRL?   [ original filing ]
Total numbers found: 2,358

= Typical DFS range from 7/27/2020 to 4/30/2025
34.4
15.2
10.3
8.3
8.2
8.2
4.4
4.1
6.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 88
XBRL?   [ original filing ]
Total numbers found: 1,349

= Typical DFS range from 7/27/2020 to 4/30/2025
29.4
16.3
11.2
9.9
9.4
8.4
4.5
5.2
5.8
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 86
XBRL?   [ original filing ]
Total numbers found: 1,730

= Typical DFS range from 7/27/2020 to 4/30/2025
28.4
17.6
10.3
10.3
9.0
6.8
6.2
5.4
6.0
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 95
XBRL?   [ original filing ]
Total numbers found: 1,744

= Typical DFS range from 7/27/2020 to 4/30/2025
27.7
18.7
10.7
9.2
7.7
7.3
6.1
5.2
7.5
 
%1 %2 %3 %4 %5 %6 %7 %8 %9
Benford's Law Stocks Score: 83
XBRL?   [ original filing ]
Total numbers found: 2,352

= Typical DFS range from 7/27/2020 to 4/30/2025
 

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