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31,668

31,668 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 Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
864
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
86,613
Recamán's sequence
a(30,615) = 31,668
Square (n²)
1,002,862,224
Cube (n³)
31,758,640,909,632
Divisor count
48
σ(n) — sum of divisors
94,080
φ(n) — Euler's totient
8,064
Sum of prime factors
56

Primality

Prime factorization: 2 2 × 3 × 7 × 13 × 29

Nearest primes: 31,667 (−1) · 31,687 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 29 · 39 · 42 · 52 · 58 · 78 · 84 · 87 · 91 · 116 · 156 · 174 · 182 · 203 · 273 · 348 · 364 · 377 · 406 · 546 · 609 · 754 · 812 · 1092 · 1131 · 1218 · 1508 · 2262 · 2436 · 2639 · 4524 · 5278 · 7917 · 10556 · 15834 (half) · 31668
Aliquot sum (sum of proper divisors): 62,412
Factor pairs (a × b = 31,668)
1 × 31668
2 × 15834
3 × 10556
4 × 7917
6 × 5278
7 × 4524
12 × 2639
13 × 2436
14 × 2262
21 × 1508
26 × 1218
28 × 1131
29 × 1092
39 × 812
42 × 754
52 × 609
58 × 546
78 × 406
84 × 377
87 × 364
91 × 348
116 × 273
156 × 203
174 × 182
First multiples
31,668 · 63,336 (double) · 95,004 · 126,672 · 158,340 · 190,008 · 221,676 · 253,344 · 285,012 · 316,680

Sums & aliquot sequence

As consecutive integers: 10,555 + 10,556 + 10,557 4,521 + 4,522 + … + 4,527 3,955 + 3,956 + … + 3,962 2,430 + 2,431 + … + 2,442
Aliquot sequence: 31,668 62,412 104,244 194,124 323,764 346,444 346,500 1,016,316 2,026,724 2,026,780 3,005,156 3,608,668 3,628,828 4,132,772 4,218,844 4,587,044 5,646,172 — unresolved within range

Representations

In words
thirty-one thousand six hundred sixty-eight
Ordinal
31668th
Binary
111101110110100
Octal
75664
Hexadecimal
0x7BB4
Base64
e7Q=
One's complement
33,867 (16-bit)
In other bases
ternary (3) 1121102220
quaternary (4) 13232310
quinary (5) 2003133
senary (6) 402340
septenary (7) 161220
nonary (9) 47386
undecimal (11) 2187a
duodecimal (12) 163b0
tridecimal (13) 11550
tetradecimal (14) b780
pentadecimal (15) 95b3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵λαχξηʹ
Mayan (base 20)
𝋣·𝋳·𝋣·𝋨
Chinese
三萬一千六百六十八
Chinese (financial)
參萬壹仟陸佰陸拾捌
In other modern scripts
Eastern Arabic ٣١٦٦٨ Devanagari ३१६६८ Bengali ৩১৬৬৮ Tamil ௩௧௬௬௮ Thai ๓๑๖๖๘ Tibetan ༣༡༦༦༨ Khmer ៣១៦៦៨ Lao ໓໑໖໖໘ Burmese ၃၁၆၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 31,668 = 6
e — Euler's number (e)
Digit 31,668 = 1
φ — Golden ratio (φ)
Digit 31,668 = 4
√2 — Pythagoras's (√2)
Digit 31,668 = 6
ln 2 — Natural log of 2
Digit 31,668 = 8
γ — Euler-Mascheroni (γ)
Digit 31,668 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31668, here are decompositions:

  • 5 + 31663 = 31668
  • 11 + 31657 = 31668
  • 19 + 31649 = 31668
  • 41 + 31627 = 31668
  • 61 + 31607 = 31668
  • 67 + 31601 = 31668
  • 101 + 31567 = 31668
  • 127 + 31541 = 31668

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7Bb4
U+7BB4
Other letter (Lo)

UTF-8 encoding: E7 AE B4 (3 bytes).

Hex color
#007BB4
RGB(0, 123, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.123.180.

Address
0.0.123.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.123.180

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000031668
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 31668 first appears in π at position 14,742 of the decimal expansion (the 14,742ordinal-suffix:nd 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.