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13,312

13,312 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
18
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
21,331
Recamán's sequence
a(47,651) = 13,312
Square (n²)
177,209,344
Cube (n³)
2,359,010,787,328
Divisor count
22
σ(n) — sum of divisors
28,658
φ(n) — Euler's totient
6,144
Sum of prime factors
33

Primality

Prime factorization: 2 10 × 13

Nearest primes: 13,309 (−3) · 13,313 (+1)

Divisors & multiples

All divisors (22)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 128 · 208 · 256 · 416 · 512 · 832 · 1024 · 1664 · 3328 · 6656 (half) · 13312
Aliquot sum (sum of proper divisors): 15,346
Factor pairs (a × b = 13,312)
1 × 13312
2 × 6656
4 × 3328
8 × 1664
13 × 1024
16 × 832
26 × 512
32 × 416
52 × 256
64 × 208
104 × 128
First multiples
13,312 · 26,624 (double) · 39,936 · 53,248 · 66,560 · 79,872 · 93,184 · 106,496 · 119,808 · 133,120

Sums & aliquot sequence

As a sum of two squares: 64² + 96²
As consecutive integers: 1,018 + 1,019 + … + 1,030
Aliquot sequence: 13,312 15,346 7,676 6,604 5,940 14,220 29,460 53,196 97,332 129,804 184,356 298,434 298,446 298,458 364,902 377,610 553,782 — unresolved within range

Representations

In words
thirteen thousand three hundred twelve
Ordinal
13312th
Binary
11010000000000
Octal
32000
Hexadecimal
0x3400
Base64
NAA=
One's complement
52,223 (16-bit)
In other bases
ternary (3) 200021001
quaternary (4) 3100000
quinary (5) 411222
senary (6) 141344
septenary (7) 53545
nonary (9) 20231
undecimal (11) a002
duodecimal (12) 7854
tridecimal (13) 60a0
tetradecimal (14) 4bcc
pentadecimal (15) 3e27

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ιγτιβʹ
Mayan (base 20)
𝋡·𝋭·𝋥·𝋬
Chinese
一萬三千三百一十二
Chinese (financial)
壹萬參仟參佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣١٢ Devanagari १३३१२ Bengali ১৩৩১২ Tamil ௧௩௩௧௨ Thai ๑๓๓๑๒ Tibetan ༡༣༣༡༢ Khmer ១៣៣១២ Lao ໑໓໓໑໒ Burmese ၁၃၃၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,312 = 0
e — Euler's number (e)
Digit 13,312 = 2
φ — Golden ratio (φ)
Digit 13,312 = 9
√2 — Pythagoras's (√2)
Digit 13,312 = 1
ln 2 — Natural log of 2
Digit 13,312 = 5
γ — Euler-Mascheroni (γ)
Digit 13,312 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13312, here are decompositions:

  • 3 + 13309 = 13312
  • 53 + 13259 = 13312
  • 71 + 13241 = 13312
  • 83 + 13229 = 13312
  • 149 + 13163 = 13312
  • 191 + 13121 = 13312
  • 263 + 13049 = 13312
  • 269 + 13043 = 13312

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3400
U+3400
Other letter (Lo)

UTF-8 encoding: E3 90 80 (3 bytes).

Hex color
#003400
RGB(0, 52, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.0.

Address
0.0.52.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.0

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

Position in π

The digit sequence 13312 first appears in π at position 126,133 of the decimal expansion (the 126,133ordinal-suffix:rd 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.