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13,332

13,332 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 Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
54
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
23,331
Recamán's sequence
a(47,611) = 13,332
Square (n²)
177,742,224
Cube (n³)
2,369,659,330,368
Divisor count
24
σ(n) — sum of divisors
34,272
φ(n) — Euler's totient
4,000
Sum of prime factors
119

Primality

Prime factorization: 2 2 × 3 × 11 × 101

Nearest primes: 13,331 (−1) · 13,337 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 101 · 132 · 202 · 303 · 404 · 606 · 1111 · 1212 · 2222 · 3333 · 4444 · 6666 (half) · 13332
Aliquot sum (sum of proper divisors): 20,940
Factor pairs (a × b = 13,332)
1 × 13332
2 × 6666
3 × 4444
4 × 3333
6 × 2222
11 × 1212
12 × 1111
22 × 606
33 × 404
44 × 303
66 × 202
101 × 132
First multiples
13,332 · 26,664 (double) · 39,996 · 53,328 · 66,660 · 79,992 · 93,324 · 106,656 · 119,988 · 133,320

Sums & aliquot sequence

As consecutive integers: 4,443 + 4,444 + 4,445 1,663 + 1,664 + … + 1,670 1,207 + 1,208 + … + 1,217 544 + 545 + … + 567
Aliquot sequence: 13,332 20,940 37,860 68,316 91,116 139,296 226,608 358,920 808,740 1,644,984 3,446,856 7,423,614 10,123,578 11,810,880 29,885,760 76,515,348 148,712,172 — unresolved within range

Representations

In words
thirteen thousand three hundred thirty-two
Ordinal
13332nd
Binary
11010000010100
Octal
32024
Hexadecimal
0x3414
Base64
NBQ=
One's complement
52,203 (16-bit)
In other bases
ternary (3) 200021210
quaternary (4) 3100110
quinary (5) 411312
senary (6) 141420
septenary (7) 53604
nonary (9) 20253
undecimal (11) a020
duodecimal (12) 7870
tridecimal (13) 60b7
tetradecimal (14) 4c04
pentadecimal (15) 3e3c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγτλβʹ
Mayan (base 20)
𝋡·𝋭·𝋦·𝋬
Chinese
一萬三千三百三十二
Chinese (financial)
壹萬參仟參佰參拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٢ Devanagari १३३३२ Bengali ১৩৩৩২ Tamil ௧௩௩௩௨ Thai ๑๓๓๓๒ Tibetan ༡༣༣༣༢ Khmer ១៣៣៣២ Lao ໑໓໓໓໒ Burmese ၁၃၃၃၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,332 = 2
e — Euler's number (e)
Digit 13,332 = 8
φ — Golden ratio (φ)
Digit 13,332 = 5
√2 — Pythagoras's (√2)
Digit 13,332 = 4
ln 2 — Natural log of 2
Digit 13,332 = 5
γ — Euler-Mascheroni (γ)
Digit 13,332 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13332, here are decompositions:

  • 5 + 13327 = 13332
  • 19 + 13313 = 13332
  • 23 + 13309 = 13332
  • 41 + 13291 = 13332
  • 73 + 13259 = 13332
  • 83 + 13249 = 13332
  • 103 + 13229 = 13332
  • 113 + 13219 = 13332

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3414
U+3414
Other letter (Lo)

UTF-8 encoding: E3 90 94 (3 bytes).

Hex color
#003414
RGB(0, 52, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.20.

Address
0.0.52.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.20

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

Position in π

The digit sequence 13332 first appears in π at position 193,845 of the decimal expansion (the 193,845ordinal-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.