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13,372

13,372 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 Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
126
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
27,331
Recamán's sequence
a(47,531) = 13,372
Square (n²)
178,810,384
Cube (n³)
2,391,052,454,848
Divisor count
6
σ(n) — sum of divisors
23,408
φ(n) — Euler's totient
6,684
Sum of prime factors
3,347

Primality

Prime factorization: 2 2 × 3343

Nearest primes: 13,367 (−5) · 13,381 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3343 · 6686 (half) · 13372
Aliquot sum (sum of proper divisors): 10,036
Factor pairs (a × b = 13,372)
1 × 13372
2 × 6686
4 × 3343
First multiples
13,372 · 26,744 (double) · 40,116 · 53,488 · 66,860 · 80,232 · 93,604 · 106,976 · 120,348 · 133,720

Sums & aliquot sequence

As consecutive integers: 1,668 + 1,669 + … + 1,675
Aliquot sequence: 13,372 10,036 8,976 17,808 35,760 75,840 168,000 465,984 871,326 1,016,586 1,186,056 2,497,944 4,205,256 7,951,224 11,926,896 18,884,376 40,364,424 — unresolved within range

Representations

In words
thirteen thousand three hundred seventy-two
Ordinal
13372nd
Binary
11010000111100
Octal
32074
Hexadecimal
0x343C
Base64
NDw=
One's complement
52,163 (16-bit)
In other bases
ternary (3) 200100021
quaternary (4) 3100330
quinary (5) 411442
senary (6) 141524
septenary (7) 53662
nonary (9) 20307
undecimal (11) a057
duodecimal (12) 78a4
tridecimal (13) 6118
tetradecimal (14) 4c32
pentadecimal (15) 3e67

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγτοβʹ
Mayan (base 20)
𝋡·𝋭·𝋨·𝋬
Chinese
一萬三千三百七十二
Chinese (financial)
壹萬參仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٧٢ Devanagari १३३७२ Bengali ১৩৩৭২ Tamil ௧௩௩௭௨ Thai ๑๓๓๗๒ Tibetan ༡༣༣༧༢ Khmer ១៣៣៧២ Lao ໑໓໓໗໒ Burmese ၁၃၃၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,372 = 4
e — Euler's number (e)
Digit 13,372 = 9
φ — Golden ratio (φ)
Digit 13,372 = 7
√2 — Pythagoras's (√2)
Digit 13,372 = 8
ln 2 — Natural log of 2
Digit 13,372 = 7
γ — Euler-Mascheroni (γ)
Digit 13,372 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13372, here are decompositions:

  • 5 + 13367 = 13372
  • 41 + 13331 = 13372
  • 59 + 13313 = 13372
  • 113 + 13259 = 13372
  • 131 + 13241 = 13372
  • 251 + 13121 = 13372
  • 263 + 13109 = 13372
  • 269 + 13103 = 13372

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-343C
U+343C
Other letter (Lo)

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

Hex color
#00343C
RGB(0, 52, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.60.

Address
0.0.52.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.60

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
000013372
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 13372 first appears in π at position 97,247 of the decimal expansion (the 97,247ordinal-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.