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31,680

31,680 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
8,613
Recamán's sequence
a(30,591) = 31,680
Square (n²)
1,003,622,400
Cube (n³)
31,794,757,632,000
Divisor count
84
σ(n) — sum of divisors
118,872
φ(n) — Euler's totient
7,680
Sum of prime factors
34

Primality

Prime factorization: 2 6 × 3 2 × 5 × 11

Nearest primes: 31,667 (−13) · 31,687 (+7)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 30 · 32 · 33 · 36 · 40 · 44 · 45 · 48 · 55 · 60 · 64 · 66 · 72 · 80 · 88 · 90 · 96 · 99 · 110 · 120 · 132 · 144 · 160 · 165 · 176 · 180 · 192 · 198 · 220 · 240 · 264 · 288 · 320 · 330 · 352 · 360 · 396 · 440 · 480 · 495 · 528 · 576 · 660 · 704 · 720 · 792 · 880 · 960 · 990 · 1056 · 1320 · 1440 · 1584 · 1760 · 1980 · 2112 · 2640 · 2880 · 3168 · 3520 · 3960 · 5280 · 6336 · 7920 · 10560 · 15840 (half) · 31680
Aliquot sum (sum of proper divisors): 87,192
Factor pairs (a × b = 31,680)
1 × 31680
2 × 15840
3 × 10560
4 × 7920
5 × 6336
6 × 5280
8 × 3960
9 × 3520
10 × 3168
11 × 2880
12 × 2640
15 × 2112
16 × 1980
18 × 1760
20 × 1584
22 × 1440
24 × 1320
30 × 1056
32 × 990
33 × 960
36 × 880
40 × 792
44 × 720
45 × 704
48 × 660
55 × 576
60 × 528
64 × 495
66 × 480
72 × 440
80 × 396
88 × 360
90 × 352
96 × 330
99 × 320
110 × 288
120 × 264
132 × 240
144 × 220
160 × 198
165 × 192
176 × 180
First multiples
31,680 · 63,360 (double) · 95,040 · 126,720 · 158,400 · 190,080 · 221,760 · 253,440 · 285,120 · 316,800

Sums & aliquot sequence

As consecutive integers: 10,559 + 10,560 + 10,561 6,334 + 6,335 + 6,336 + 6,337 + 6,338 3,516 + 3,517 + … + 3,524 2,875 + 2,876 + … + 2,885
Aliquot sequence: 31,680 87,192 184,248 328,152 581,568 1,082,640 2,542,128 4,082,448 7,086,480 14,882,352 23,563,848 51,915,192 96,414,408 171,403,992 304,718,808 497,173,992 953,179,608 — unresolved within range

Representations

In words
thirty-one thousand six hundred eighty
Ordinal
31680th
Binary
111101111000000
Octal
75700
Hexadecimal
0x7BC0
Base64
e8A=
One's complement
33,855 (16-bit)
In other bases
ternary (3) 1121110100
quaternary (4) 13233000
quinary (5) 2003210
senary (6) 402400
septenary (7) 161235
nonary (9) 47410
undecimal (11) 21890
duodecimal (12) 16400
tridecimal (13) 1155c
tetradecimal (14) b78c
pentadecimal (15) 95c0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵λαχπʹ
Mayan (base 20)
𝋣·𝋳·𝋤·𝋠
Chinese
三萬一千六百八十
Chinese (financial)
參萬壹仟陸佰捌拾
In other modern scripts
Eastern Arabic ٣١٦٨٠ Devanagari ३१६८० Bengali ৩১৬৮০ Tamil ௩௧௬௮௦ Thai ๓๑๖๘๐ Tibetan ༣༡༦༨༠ Khmer ៣១៦៨០ Lao ໓໑໖໘໐ Burmese ၃၁၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 31,680 = 6
e — Euler's number (e)
Digit 31,680 = 9
φ — Golden ratio (φ)
Digit 31,680 = 7
√2 — Pythagoras's (√2)
Digit 31,680 = 7
ln 2 — Natural log of 2
Digit 31,680 = 0
γ — Euler-Mascheroni (γ)
Digit 31,680 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31680, here are decompositions:

  • 13 + 31667 = 31680
  • 17 + 31663 = 31680
  • 23 + 31657 = 31680
  • 31 + 31649 = 31680
  • 37 + 31643 = 31680
  • 53 + 31627 = 31680
  • 73 + 31607 = 31680
  • 79 + 31601 = 31680

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7Bc0
U+7BC0
Other letter (Lo)

UTF-8 encoding: E7 AF 80 (3 bytes).

Hex color
#007BC0
RGB(0, 123, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.123.192.

Address
0.0.123.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.123.192

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

Position in π

The digit sequence 31680 first appears in π at position 21,360 of the decimal expansion (the 21,360ordinal-suffix:th 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.