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13,314

13,314 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.).
Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Self Number Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
41,331
Recamán's sequence
a(47,647) = 13,314
Square (n²)
177,262,596
Cube (n³)
2,360,074,203,144
Divisor count
16
σ(n) — sum of divisors
30,528
φ(n) — Euler's totient
3,792
Sum of prime factors
329

Primality

Prime factorization: 2 × 3 × 7 × 317

Nearest primes: 13,313 (−1) · 13,327 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 317 · 634 · 951 · 1902 · 2219 · 4438 · 6657 (half) · 13314
Aliquot sum (sum of proper divisors): 17,214
Factor pairs (a × b = 13,314)
1 × 13314
2 × 6657
3 × 4438
6 × 2219
7 × 1902
14 × 951
21 × 634
42 × 317
First multiples
13,314 · 26,628 (double) · 39,942 · 53,256 · 66,570 · 79,884 · 93,198 · 106,512 · 119,826 · 133,140

Sums & aliquot sequence

As consecutive integers: 4,437 + 4,438 + 4,439 3,327 + 3,328 + 3,329 + 3,330 1,899 + 1,900 + … + 1,905 1,104 + 1,105 + … + 1,115
Aliquot sequence: 13,314 17,214 19,266 24,654 31,794 40,974 40,986 63,558 91,962 129,798 151,470 318,978 465,102 715,338 998,262 1,235,658 1,296,438 — unresolved within range

Representations

In words
thirteen thousand three hundred fourteen
Ordinal
13314th
Binary
11010000000010
Octal
32002
Hexadecimal
0x3402
Base64
NAI=
One's complement
52,221 (16-bit)
In other bases
ternary (3) 200021010
quaternary (4) 3100002
quinary (5) 411224
senary (6) 141350
septenary (7) 53550
nonary (9) 20233
undecimal (11) a004
duodecimal (12) 7856
tridecimal (13) 60a2
tetradecimal (14) 4bd0
pentadecimal (15) 3e29

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτιδʹ
Mayan (base 20)
𝋡·𝋭·𝋥·𝋮
Chinese
一萬三千三百一十四
Chinese (financial)
壹萬參仟參佰壹拾肆
In other modern scripts
Eastern Arabic ١٣٣١٤ Devanagari १३३१४ Bengali ১৩৩১৪ Tamil ௧௩௩௧௪ Thai ๑๓๓๑๔ Tibetan ༡༣༣༡༤ Khmer ១៣៣១៤ Lao ໑໓໓໑໔ Burmese ၁၃၃၁၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,314 = 8
e — Euler's number (e)
Digit 13,314 = 3
φ — Golden ratio (φ)
Digit 13,314 = 0
√2 — Pythagoras's (√2)
Digit 13,314 = 0
ln 2 — Natural log of 2
Digit 13,314 = 8
γ — Euler-Mascheroni (γ)
Digit 13,314 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13314, here are decompositions:

  • 5 + 13309 = 13314
  • 17 + 13297 = 13314
  • 23 + 13291 = 13314
  • 47 + 13267 = 13314
  • 73 + 13241 = 13314
  • 97 + 13217 = 13314
  • 127 + 13187 = 13314
  • 131 + 13183 = 13314

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3402
U+3402
Other letter (Lo)

UTF-8 encoding: E3 90 82 (3 bytes).

Hex color
#003402
RGB(0, 52, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.2.

Address
0.0.52.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.2

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
000013314
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 13314 first appears in π at position 373,096 of the decimal expansion (the 373,096ordinal-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.