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13,712

13,712 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.).
Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
21,731
Recamán's sequence
a(91,220) = 13,712
Square (n²)
188,018,944
Cube (n³)
2,578,115,760,128
Divisor count
10
σ(n) — sum of divisors
26,598
φ(n) — Euler's totient
6,848
Sum of prime factors
865

Primality

Prime factorization: 2 4 × 857

Nearest primes: 13,711 (−1) · 13,721 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 857 · 1714 · 3428 · 6856 (half) · 13712
Aliquot sum (sum of proper divisors): 12,886
Factor pairs (a × b = 13,712)
1 × 13712
2 × 6856
4 × 3428
8 × 1714
16 × 857
First multiples
13,712 · 27,424 (double) · 41,136 · 54,848 · 68,560 · 82,272 · 95,984 · 109,696 · 123,408 · 137,120

Sums & aliquot sequence

As a sum of two squares: 16² + 116²
As consecutive integers: 413 + 414 + … + 444
Aliquot sequence: 13,712 12,886 7,634 4,894 2,450 2,851 1 0 — terminates at zero

Representations

In words
thirteen thousand seven hundred twelve
Ordinal
13712th
Binary
11010110010000
Octal
32620
Hexadecimal
0x3590
Base64
NZA=
One's complement
51,823 (16-bit)
In other bases
ternary (3) 200210212
quaternary (4) 3112100
quinary (5) 414322
senary (6) 143252
septenary (7) 54656
nonary (9) 20725
undecimal (11) a336
duodecimal (12) 7b28
tridecimal (13) 631a
tetradecimal (14) 4dd6
pentadecimal (15) 40e2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ιγψιβʹ
Mayan (base 20)
𝋡·𝋮·𝋥·𝋬
Chinese
一萬三千七百一十二
Chinese (financial)
壹萬參仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٧١٢ Devanagari १३७१२ Bengali ১৩৭১২ Tamil ௧௩௭௧௨ Thai ๑๓๗๑๒ Tibetan ༡༣༧༡༢ Khmer ១៣៧១២ Lao ໑໓໗໑໒ Burmese ၁၃၇၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,712 = 5
e — Euler's number (e)
Digit 13,712 = 1
φ — Golden ratio (φ)
Digit 13,712 = 9
√2 — Pythagoras's (√2)
Digit 13,712 = 9
ln 2 — Natural log of 2
Digit 13,712 = 8
γ — Euler-Mascheroni (γ)
Digit 13,712 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13712, here are decompositions:

  • 3 + 13709 = 13712
  • 19 + 13693 = 13712
  • 31 + 13681 = 13712
  • 43 + 13669 = 13712
  • 79 + 13633 = 13712
  • 199 + 13513 = 13712
  • 271 + 13441 = 13712
  • 313 + 13399 = 13712

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3590
U+3590
Other letter (Lo)

UTF-8 encoding: E3 96 90 (3 bytes).

Hex color
#003590
RGB(0, 53, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.144.

Address
0.0.53.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.144

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
000013712
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 13712 first appears in π at position 412,659 of the decimal expansion (the 412,659ordinal-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.