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13,084

13,084 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
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
48,031
Recamán's sequence
a(48,107) = 13,084
Square (n²)
171,191,056
Cube (n³)
2,239,863,776,704
Divisor count
6
σ(n) — sum of divisors
22,904
φ(n) — Euler's totient
6,540
Sum of prime factors
3,275

Primality

Prime factorization: 2 2 × 3271

Nearest primes: 13,063 (−21) · 13,093 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3271 · 6542 (half) · 13084
Aliquot sum (sum of proper divisors): 9,820
Factor pairs (a × b = 13,084)
1 × 13084
2 × 6542
4 × 3271
First multiples
13,084 · 26,168 (double) · 39,252 · 52,336 · 65,420 · 78,504 · 91,588 · 104,672 · 117,756 · 130,840

Sums & aliquot sequence

As consecutive integers: 1,632 + 1,633 + … + 1,639
Aliquot sequence: 13,084 9,820 10,844 8,140 11,012 8,266 4,136 4,504 3,956 3,436 2,584 2,816 3,316 2,494 1,466 736 776 — unresolved within range

Representations

In words
thirteen thousand eighty-four
Ordinal
13084th
Binary
11001100011100
Octal
31434
Hexadecimal
0x331C
Base64
Mxw=
One's complement
52,451 (16-bit)
In other bases
ternary (3) 122221121
quaternary (4) 3030130
quinary (5) 404314
senary (6) 140324
septenary (7) 53101
nonary (9) 18847
undecimal (11) 9915
duodecimal (12) 76a4
tridecimal (13) 5c56
tetradecimal (14) 4aa8
pentadecimal (15) 3d24

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγπδʹ
Mayan (base 20)
𝋡·𝋬·𝋮·𝋤
Chinese
一萬三千零八十四
Chinese (financial)
壹萬參仟零捌拾肆
In other modern scripts
Eastern Arabic ١٣٠٨٤ Devanagari १३०८४ Bengali ১৩০৮৪ Tamil ௧௩௦௮௪ Thai ๑๓๐๘๔ Tibetan ༡༣༠༨༤ Khmer ១៣០៨៤ Lao ໑໓໐໘໔ Burmese ၁၃၀၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,084 = 2
e — Euler's number (e)
Digit 13,084 = 6
φ — Golden ratio (φ)
Digit 13,084 = 9
√2 — Pythagoras's (√2)
Digit 13,084 = 6
ln 2 — Natural log of 2
Digit 13,084 = 4
γ — Euler-Mascheroni (γ)
Digit 13,084 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13084, here are decompositions:

  • 41 + 13043 = 13084
  • 47 + 13037 = 13084
  • 83 + 13001 = 13084
  • 101 + 12983 = 13084
  • 131 + 12953 = 13084
  • 167 + 12917 = 13084
  • 173 + 12911 = 13084
  • 191 + 12893 = 13084

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Keesu
U+331C
Other symbol (So)

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

Hex color
#00331C
RGB(0, 51, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.28.

Address
0.0.51.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.28

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
000013084
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 13084 first appears in π at position 112,655 of the decimal expansion (the 112,655ordinal-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.