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10,688

10,688 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.).
Arithmetic Number Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
88,601
Flips to (rotate 180°)
88,901
Recamán's sequence
a(50,143) = 10,688
Square (n²)
114,233,344
Cube (n³)
1,220,925,980,672
Divisor count
14
σ(n) — sum of divisors
21,336
φ(n) — Euler's totient
5,312
Sum of prime factors
179

Primality

Prime factorization: 2 6 × 167

Nearest primes: 10,687 (−1) · 10,691 (+3)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 167 · 334 · 668 · 1336 · 2672 · 5344 (half) · 10688
Aliquot sum (sum of proper divisors): 10,648
Factor pairs (a × b = 10,688)
1 × 10688
2 × 5344
4 × 2672
8 × 1336
16 × 668
32 × 334
64 × 167
First multiples
10,688 · 21,376 (double) · 32,064 · 42,752 · 53,440 · 64,128 · 74,816 · 85,504 · 96,192 · 106,880

Sums & aliquot sequence

As consecutive integers: 20 + 21 + … + 147
Aliquot sequence: 10,688 10,648 11,312 13,984 16,256 16,384 16,383 6,145 1,235 445 95 25 6 6 — reaches a perfect number

Representations

In words
ten thousand six hundred eighty-eight
Ordinal
10688th
Binary
10100111000000
Octal
24700
Hexadecimal
0x29C0
Base64
KcA=
One's complement
54,847 (16-bit)
In other bases
ternary (3) 112122212
quaternary (4) 2213000
quinary (5) 320223
senary (6) 121252
septenary (7) 43106
nonary (9) 15585
undecimal (11) 8037
duodecimal (12) 6228
tridecimal (13) 4b32
tetradecimal (14) 3c76
pentadecimal (15) 3278

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιχπηʹ
Mayan (base 20)
𝋡·𝋦·𝋮·𝋨
Chinese
一萬零六百八十八
Chinese (financial)
壹萬零陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٦٨٨ Devanagari १०६८८ Bengali ১০৬৮৮ Tamil ௧௦௬௮௮ Thai ๑๐๖๘๘ Tibetan ༡༠༦༨༨ Khmer ១០៦៨៨ Lao ໑໐໖໘໘ Burmese ၁၀၆၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 10,688 = 3
e — Euler's number (e)
Digit 10,688 = 3
φ — Golden ratio (φ)
Digit 10,688 = 8
√2 — Pythagoras's (√2)
Digit 10,688 = 3
ln 2 — Natural log of 2
Digit 10,688 = 1
γ — Euler-Mascheroni (γ)
Digit 10,688 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10688, here are decompositions:

  • 31 + 10657 = 10688
  • 37 + 10651 = 10688
  • 61 + 10627 = 10688
  • 157 + 10531 = 10688
  • 211 + 10477 = 10688
  • 229 + 10459 = 10688
  • 331 + 10357 = 10688
  • 367 + 10321 = 10688

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Less-Than
U+29C0
Math symbol (Sm)

UTF-8 encoding: E2 A7 80 (3 bytes).

Hex color
#0029C0
RGB(0, 41, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.192.

Address
0.0.41.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.192

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

Position in π

The digit sequence 10688 first appears in π at position 10,603 of the decimal expansion (the 10,603ordinal-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.