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13,872

13,872 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 Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
336
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
27,831
Recamán's sequence
a(20,972) = 13,872
Square (n²)
192,432,384
Cube (n³)
2,669,422,030,848
Divisor count
30
σ(n) — sum of divisors
38,068
φ(n) — Euler's totient
4,352
Sum of prime factors
45

Primality

Prime factorization: 2 4 × 3 × 17 2

Nearest primes: 13,859 (−13) · 13,873 (+1)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 34 · 48 · 51 · 68 · 102 · 136 · 204 · 272 · 289 · 408 · 578 · 816 · 867 · 1156 · 1734 · 2312 · 3468 · 4624 · 6936 (half) · 13872
Aliquot sum (sum of proper divisors): 24,196
Factor pairs (a × b = 13,872)
1 × 13872
2 × 6936
3 × 4624
4 × 3468
6 × 2312
8 × 1734
12 × 1156
16 × 867
17 × 816
24 × 578
34 × 408
48 × 289
51 × 272
68 × 204
102 × 136
First multiples
13,872 · 27,744 (double) · 41,616 · 55,488 · 69,360 · 83,232 · 97,104 · 110,976 · 124,848 · 138,720

Sums & aliquot sequence

As consecutive integers: 4,623 + 4,624 + 4,625 808 + 809 + … + 824 418 + 419 + … + 449 247 + 248 + … + 297
Aliquot sequence: 13,872 24,196 20,156 15,124 12,876 19,044 31,279 1,041 351 209 31 1 0 — terminates at zero

Representations

In words
thirteen thousand eight hundred seventy-two
Ordinal
13872nd
Binary
11011000110000
Octal
33060
Hexadecimal
0x3630
Base64
NjA=
One's complement
51,663 (16-bit)
In other bases
ternary (3) 201000210
quaternary (4) 3120300
quinary (5) 420442
senary (6) 144120
septenary (7) 55305
nonary (9) 21023
undecimal (11) a471
duodecimal (12) 8040
tridecimal (13) 6411
tetradecimal (14) 50ac
pentadecimal (15) 419c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγωοβʹ
Mayan (base 20)
𝋡·𝋮·𝋭·𝋬
Chinese
一萬三千八百七十二
Chinese (financial)
壹萬參仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٨٧٢ Devanagari १३८७२ Bengali ১৩৮৭২ Tamil ௧௩௮௭௨ Thai ๑๓๘๗๒ Tibetan ༡༣༨༧༢ Khmer ១៣៨៧២ Lao ໑໓໘໗໒ Burmese ၁၃၈၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,872 = 8
e — Euler's number (e)
Digit 13,872 = 5
φ — Golden ratio (φ)
Digit 13,872 = 0
√2 — Pythagoras's (√2)
Digit 13,872 = 8
ln 2 — Natural log of 2
Digit 13,872 = 2
γ — Euler-Mascheroni (γ)
Digit 13,872 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13872, here are decompositions:

  • 13 + 13859 = 13872
  • 31 + 13841 = 13872
  • 41 + 13831 = 13872
  • 43 + 13829 = 13872
  • 73 + 13799 = 13872
  • 83 + 13789 = 13872
  • 109 + 13763 = 13872
  • 113 + 13759 = 13872

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3630
U+3630
Other letter (Lo)

UTF-8 encoding: E3 98 B0 (3 bytes).

Hex color
#003630
RGB(0, 54, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.48.

Address
0.0.54.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.48

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

Position in π

The digit sequence 13872 first appears in π at position 151,036 of the decimal expansion (the 151,036ordinal-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.