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13,688

13,688 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 Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
26
Digit product
1,152
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
88,631
Recamán's sequence
a(91,268) = 13,688
Square (n²)
187,361,344
Cube (n³)
2,564,602,076,672
Divisor count
16
σ(n) — sum of divisors
27,000
φ(n) — Euler's totient
6,496
Sum of prime factors
94

Primality

Prime factorization: 2 3 × 29 × 59

Nearest primes: 13,687 (−1) · 13,691 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 59 · 116 · 118 · 232 · 236 · 472 · 1711 · 3422 · 6844 (half) · 13688
Aliquot sum (sum of proper divisors): 13,312
Factor pairs (a × b = 13,688)
1 × 13688
2 × 6844
4 × 3422
8 × 1711
29 × 472
58 × 236
59 × 232
116 × 118
First multiples
13,688 · 27,376 (double) · 41,064 · 54,752 · 68,440 · 82,128 · 95,816 · 109,504 · 123,192 · 136,880

Sums & aliquot sequence

As consecutive integers: 848 + 849 + … + 863 458 + 459 + … + 486 203 + 204 + … + 261
Aliquot sequence: 13,688 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 — unresolved within range

Representations

In words
thirteen thousand six hundred eighty-eight
Ordinal
13688th
Binary
11010101111000
Octal
32570
Hexadecimal
0x3578
Base64
NXg=
One's complement
51,847 (16-bit)
In other bases
ternary (3) 200202222
quaternary (4) 3111320
quinary (5) 414223
senary (6) 143212
septenary (7) 54623
nonary (9) 20688
undecimal (11) a314
duodecimal (12) 7b08
tridecimal (13) 62cc
tetradecimal (14) 4dba
pentadecimal (15) 40c8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγχπηʹ
Mayan (base 20)
𝋡·𝋮·𝋤·𝋨
Chinese
一萬三千六百八十八
Chinese (financial)
壹萬參仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٦٨٨ Devanagari १३६८८ Bengali ১৩৬৮৮ Tamil ௧௩௬௮௮ Thai ๑๓๖๘๘ Tibetan ༡༣༦༨༨ Khmer ១៣៦៨៨ Lao ໑໓໖໘໘ Burmese ၁၃၆၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,688 = 2
e — Euler's number (e)
Digit 13,688 = 4
φ — Golden ratio (φ)
Digit 13,688 = 8
√2 — Pythagoras's (√2)
Digit 13,688 = 4
ln 2 — Natural log of 2
Digit 13,688 = 2
γ — Euler-Mascheroni (γ)
Digit 13,688 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13688, here are decompositions:

  • 7 + 13681 = 13688
  • 19 + 13669 = 13688
  • 61 + 13627 = 13688
  • 97 + 13591 = 13688
  • 151 + 13537 = 13688
  • 211 + 13477 = 13688
  • 271 + 13417 = 13688
  • 277 + 13411 = 13688

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3578
U+3578
Other letter (Lo)

UTF-8 encoding: E3 95 B8 (3 bytes).

Hex color
#003578
RGB(0, 53, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.120.

Address
0.0.53.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.120

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

Position in π

The digit sequence 13688 first appears in π at position 77,884 of the decimal expansion (the 77,884ordinal-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.