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12,506

12,506 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 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
60,521
Recamán's sequence
a(21,772) = 12,506
Square (n²)
156,400,036
Cube (n³)
1,955,938,850,216
Divisor count
12
σ(n) — sum of divisors
20,862
φ(n) — Euler's totient
5,616
Sum of prime factors
65

Primality

Prime factorization: 2 × 13 2 × 37

Nearest primes: 12,503 (−3) · 12,511 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 13 · 26 · 37 · 74 · 169 · 338 · 481 · 962 · 6253 (half) · 12506
Aliquot sum (sum of proper divisors): 8,356
Factor pairs (a × b = 12,506)
1 × 12506
2 × 6253
13 × 962
26 × 481
37 × 338
74 × 169
First multiples
12,506 · 25,012 (double) · 37,518 · 50,024 · 62,530 · 75,036 · 87,542 · 100,048 · 112,554 · 125,060

Sums & aliquot sequence

As a sum of two squares: 25² + 109² = 59² + 95² = 65² + 91²
As consecutive integers: 3,125 + 3,126 + 3,127 + 3,128 956 + 957 + … + 968 320 + 321 + … + 356 215 + 216 + … + 266
Aliquot sequence: 12,506 8,356 6,274 3,140 3,496 3,704 3,256 3,584 4,600 6,560 9,316 8,072 7,078 3,542 3,370 2,714 1,606 — unresolved within range

Representations

In words
twelve thousand five hundred six
Ordinal
12506th
Binary
11000011011010
Octal
30332
Hexadecimal
0x30DA
Base64
MNo=
One's complement
53,029 (16-bit)
In other bases
ternary (3) 122011012
quaternary (4) 3003122
quinary (5) 400011
senary (6) 133522
septenary (7) 51314
nonary (9) 18135
undecimal (11) 943a
duodecimal (12) 72a2
tridecimal (13) 5900
tetradecimal (14) 47b4
pentadecimal (15) 3a8b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβφϛʹ
Mayan (base 20)
𝋡·𝋫·𝋥·𝋦
Chinese
一萬二千五百零六
Chinese (financial)
壹萬貳仟伍佰零陸
In other modern scripts
Eastern Arabic ١٢٥٠٦ Devanagari १२५०६ Bengali ১২৫০৬ Tamil ௧௨௫௦௬ Thai ๑๒๕๐๖ Tibetan ༡༢༥༠༦ Khmer ១២៥០៦ Lao ໑໒໕໐໖ Burmese ၁၂၅၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 12,506 = 2
e — Euler's number (e)
Digit 12,506 = 8
φ — Golden ratio (φ)
Digit 12,506 = 7
√2 — Pythagoras's (√2)
Digit 12,506 = 9
ln 2 — Natural log of 2
Digit 12,506 = 2
γ — Euler-Mascheroni (γ)
Digit 12,506 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12506, here are decompositions:

  • 3 + 12503 = 12506
  • 19 + 12487 = 12506
  • 73 + 12433 = 12506
  • 97 + 12409 = 12506
  • 127 + 12379 = 12506
  • 163 + 12343 = 12506
  • 229 + 12277 = 12506
  • 349 + 12157 = 12506

Showing the first eight; more decompositions exist.

Unicode codepoint
Katakana Letter Pe
U+30DA
Other letter (Lo)

UTF-8 encoding: E3 83 9A (3 bytes).

Hex color
#0030DA
RGB(0, 48, 218)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.218.

Address
0.0.48.218
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.48.218

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
000012506
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 12506 first appears in π at position 109,292 of the decimal expansion (the 109,292ordinal-suffix:nd 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.