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10,508

10,508 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 Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
80,501
Recamán's sequence
a(50,503) = 10,508
Square (n²)
110,418,064
Cube (n³)
1,160,273,016,512
Divisor count
12
σ(n) — sum of divisors
19,152
φ(n) — Euler's totient
5,040
Sum of prime factors
112

Primality

Prime factorization: 2 2 × 37 × 71

Nearest primes: 10,501 (−7) · 10,513 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 37 · 71 · 74 · 142 · 148 · 284 · 2627 · 5254 (half) · 10508
Aliquot sum (sum of proper divisors): 8,644
Factor pairs (a × b = 10,508)
1 × 10508
2 × 5254
4 × 2627
37 × 284
71 × 148
74 × 142
First multiples
10,508 · 21,016 (double) · 31,524 · 42,032 · 52,540 · 63,048 · 73,556 · 84,064 · 94,572 · 105,080

Sums & aliquot sequence

As consecutive integers: 1,310 + 1,311 + … + 1,317 266 + 267 + … + 302 113 + 114 + … + 183
Aliquot sequence: 10,508 8,644 6,490 6,470 5,194 4,040 5,140 5,696 5,734 3,194 1,600 2,337 1,023 513 287 49 8 — unresolved within range

Representations

In words
ten thousand five hundred eight
Ordinal
10508th
Binary
10100100001100
Octal
24414
Hexadecimal
0x290C
Base64
KQw=
One's complement
55,027 (16-bit)
In other bases
ternary (3) 112102012
quaternary (4) 2210030
quinary (5) 314013
senary (6) 120352
septenary (7) 42431
nonary (9) 15365
undecimal (11) 7993
duodecimal (12) 60b8
tridecimal (13) 4a24
tetradecimal (14) 3b88
pentadecimal (15) 31a8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιφηʹ
Mayan (base 20)
𝋡·𝋦·𝋥·𝋨
Chinese
一萬零五百零八
Chinese (financial)
壹萬零伍佰零捌
In other modern scripts
Eastern Arabic ١٠٥٠٨ Devanagari १०५०८ Bengali ১০৫০৮ Tamil ௧௦௫௦௮ Thai ๑๐๕๐๘ Tibetan ༡༠༥༠༨ Khmer ១០៥០៨ Lao ໑໐໕໐໘ Burmese ၁၀၅၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 10,508 = 0
e — Euler's number (e)
Digit 10,508 = 6
φ — Golden ratio (φ)
Digit 10,508 = 4
√2 — Pythagoras's (√2)
Digit 10,508 = 7
ln 2 — Natural log of 2
Digit 10,508 = 6
γ — Euler-Mascheroni (γ)
Digit 10,508 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10508, here are decompositions:

  • 7 + 10501 = 10508
  • 31 + 10477 = 10508
  • 79 + 10429 = 10508
  • 109 + 10399 = 10508
  • 139 + 10369 = 10508
  • 151 + 10357 = 10508
  • 241 + 10267 = 10508
  • 331 + 10177 = 10508

Showing the first eight; more decompositions exist.

Unicode codepoint
Leftwards Double Dash Arrow
U+290C
Math symbol (Sm)

UTF-8 encoding: E2 A4 8C (3 bytes).

Hex color
#00290C
RGB(0, 41, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.12.

Address
0.0.41.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.12

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000010508
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 10508 first appears in π at position 44,991 of the decimal expansion (the 44,991ordinal-suffix:st 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.