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971,964

971,964 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

971,964 (nine hundred seventy-one thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3² × 7² × 19 × 29. Its proper divisors sum to 2,140,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED4BC.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
13,608
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
469,179
Square (n²)
944,714,017,296
Cube (n³)
918,228,015,107,089,344
Divisor count
108
σ(n) — sum of divisors
3,112,200
φ(n) — Euler's totient
254,016
Sum of prime factors
72

Primality

Prime factorization: 2 2 × 3 2 × 7 2 × 19 × 29

Nearest primes: 971,959 (−5) · 971,977 (+13)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 19 · 21 · 28 · 29 · 36 · 38 · 42 · 49 · 57 · 58 · 63 · 76 · 84 · 87 · 98 · 114 · 116 · 126 · 133 · 147 · 171 · 174 · 196 · 203 · 228 · 252 · 261 · 266 · 294 · 342 · 348 · 399 · 406 · 441 · 522 · 532 · 551 · 588 · 609 · 684 · 798 · 812 · 882 · 931 · 1044 · 1102 · 1197 · 1218 · 1421 · 1596 · 1653 · 1764 · 1827 · 1862 · 2204 · 2394 · 2436 · 2793 · 2842 · 3306 · 3654 · 3724 · 3857 · 4263 · 4788 · 4959 · 5586 · 5684 · 6612 · 7308 · 7714 · 8379 · 8526 · 9918 · 11172 · 11571 · 12789 · 15428 · 16758 · 17052 · 19836 · 23142 · 25578 · 26999 · 33516 · 34713 · 46284 · 51156 · 53998 · 69426 · 80997 · 107996 · 138852 · 161994 · 242991 · 323988 · 485982 (half) · 971964
Aliquot sum (sum of proper divisors): 2,140,236
Factor pairs (a × b = 971,964)
1 × 971964
2 × 485982
3 × 323988
4 × 242991
6 × 161994
7 × 138852
9 × 107996
12 × 80997
14 × 69426
18 × 53998
19 × 51156
21 × 46284
28 × 34713
29 × 33516
36 × 26999
38 × 25578
42 × 23142
49 × 19836
57 × 17052
58 × 16758
63 × 15428
76 × 12789
84 × 11571
87 × 11172
98 × 9918
114 × 8526
116 × 8379
126 × 7714
133 × 7308
147 × 6612
171 × 5684
174 × 5586
196 × 4959
203 × 4788
228 × 4263
252 × 3857
261 × 3724
266 × 3654
294 × 3306
342 × 2842
348 × 2793
399 × 2436
406 × 2394
441 × 2204
522 × 1862
532 × 1827
551 × 1764
588 × 1653
609 × 1596
684 × 1421
798 × 1218
812 × 1197
882 × 1102
931 × 1044
First multiples
971,964 · 1,943,928 (double) · 2,915,892 · 3,887,856 · 4,859,820 · 5,831,784 · 6,803,748 · 7,775,712 · 8,747,676 · 9,719,640

Sums & aliquot sequence

As consecutive integers: 323,987 + 323,988 + 323,989 138,849 + 138,850 + … + 138,855 121,492 + 121,493 + … + 121,499 107,992 + 107,993 + … + 108,000
Aliquot sequence: 971,964 2,140,236 4,579,764 7,633,164 14,770,420 20,678,924 21,690,004 21,690,060 49,391,412 91,758,828 165,814,292 183,269,548 231,865,172 274,023,148 279,151,124 300,776,812 301,272,244 — unresolved within range

Continued fraction of √n

√971,964 = [985; (1, 7, 2, 492, 2, 7, 1, 1970)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-one thousand nine hundred sixty-four
Ordinal
971964th
Binary
11101101010010111100
Octal
3552274
Hexadecimal
0xED4BC
Base64
DtS8
One's complement
4,293,995,331 (32-bit)
Scientific notation
9.71964 × 10⁵
As a duration
971,964 s = 11 days, 5 hours, 59 minutes, 24 seconds
In other bases
ternary (3) 1211101021200
quaternary (4) 3231102330
quinary (5) 222100324
senary (6) 32455500
septenary (7) 11155500
nonary (9) 1741250
undecimal (11) 604284
duodecimal (12) 3aa590
tridecimal (13) 280536
tetradecimal (14) 1b4300
pentadecimal (15) 142ec9

As an angle

971,964° = 2,699 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοαϡξδʹ
Chinese
九十七萬一千九百六十四
Chinese (financial)
玖拾柒萬壹仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ٩٧١٩٦٤ Devanagari ९७१९६४ Bengali ৯৭১৯৬৪ Tamil ௯௭௧௯௬௪ Thai ๙๗๑๙๖๔ Tibetan ༩༧༡༩༦༤ Khmer ៩៧១៩៦៤ Lao ໙໗໑໙໖໔ Burmese ၉၇၁၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 971964, here are decompositions:

  • 5 + 971959 = 971964
  • 13 + 971951 = 971964
  • 31 + 971933 = 971964
  • 43 + 971921 = 971964
  • 47 + 971917 = 971964
  • 61 + 971903 = 971964
  • 101 + 971863 = 971964
  • 107 + 971857 = 971964

Showing the first eight; more decompositions exist.

Hex color
#0ED4BC
RGB(14, 212, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.212.188.

Address
0.14.212.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.212.188

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 971,964 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 971964 first appears in π at position 201,343 of the decimal expansion (the 201,343ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.