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13,832

13,832 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
23,831
Recamán's sequence
a(21,052) = 13,832
Square (n²)
191,324,224
Cube (n³)
2,646,396,666,368
Divisor count
32
σ(n) — sum of divisors
33,600
φ(n) — Euler's totient
5,184
Sum of prime factors
45

Primality

Prime factorization: 2 3 × 7 × 13 × 19

Nearest primes: 13,831 (−1) · 13,841 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 19 · 26 · 28 · 38 · 52 · 56 · 76 · 91 · 104 · 133 · 152 · 182 · 247 · 266 · 364 · 494 · 532 · 728 · 988 · 1064 · 1729 · 1976 · 3458 · 6916 (half) · 13832
Aliquot sum (sum of proper divisors): 19,768
Factor pairs (a × b = 13,832)
1 × 13832
2 × 6916
4 × 3458
7 × 1976
8 × 1729
13 × 1064
14 × 988
19 × 728
26 × 532
28 × 494
38 × 364
52 × 266
56 × 247
76 × 182
91 × 152
104 × 133
First multiples
13,832 · 27,664 (double) · 41,496 · 55,328 · 69,160 · 82,992 · 96,824 · 110,656 · 124,488 · 138,320

Sums & aliquot sequence

As consecutive integers: 1,973 + 1,974 + … + 1,979 1,058 + 1,059 + … + 1,070 857 + 858 + … + 872 719 + 720 + … + 737
Aliquot sequence: 13,832 19,768 22,712 22,648 22,352 25,264 23,716 29,351 4,849 387 185 43 1 0 — terminates at zero

Representations

In words
thirteen thousand eight hundred thirty-two
Ordinal
13832nd
Binary
11011000001000
Octal
33010
Hexadecimal
0x3608
Base64
Ngg=
One's complement
51,703 (16-bit)
In other bases
ternary (3) 200222022
quaternary (4) 3120020
quinary (5) 420312
senary (6) 144012
septenary (7) 55220
nonary (9) 20868
undecimal (11) a435
duodecimal (12) 8008
tridecimal (13) 63b0
tetradecimal (14) 5080
pentadecimal (15) 4172

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγωλβʹ
Mayan (base 20)
𝋡·𝋮·𝋫·𝋬
Chinese
一萬三千八百三十二
Chinese (financial)
壹萬參仟捌佰參拾貳
In other modern scripts
Eastern Arabic ١٣٨٣٢ Devanagari १३८३२ Bengali ১৩৮৩২ Tamil ௧௩௮௩௨ Thai ๑๓๘๓๒ Tibetan ༡༣༨༣༢ Khmer ១៣៨៣២ Lao ໑໓໘໓໒ Burmese ၁၃၈၃၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,832 = 6
e — Euler's number (e)
Digit 13,832 = 4
φ — Golden ratio (φ)
Digit 13,832 = 6
√2 — Pythagoras's (√2)
Digit 13,832 = 4
ln 2 — Natural log of 2
Digit 13,832 = 8
γ — Euler-Mascheroni (γ)
Digit 13,832 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13832, here are decompositions:

  • 3 + 13829 = 13832
  • 43 + 13789 = 13832
  • 73 + 13759 = 13832
  • 103 + 13729 = 13832
  • 109 + 13723 = 13832
  • 139 + 13693 = 13832
  • 151 + 13681 = 13832
  • 163 + 13669 = 13832

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3608
U+3608
Other letter (Lo)

UTF-8 encoding: E3 98 88 (3 bytes).

Hex color
#003608
RGB(0, 54, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.8.

Address
0.0.54.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.8

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

Position in π

The digit sequence 13832 first appears in π at position 107,640 of the decimal expansion (the 107,640ordinal-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.