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13,356

13,356 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 Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
270
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
65,331
Recamán's sequence
a(47,563) = 13,356
Square (n²)
178,382,736
Cube (n³)
2,382,479,822,016
Divisor count
36
σ(n) — sum of divisors
39,312
φ(n) — Euler's totient
3,744
Sum of prime factors
70

Primality

Prime factorization: 2 2 × 3 2 × 7 × 53

Nearest primes: 13,339 (−17) · 13,367 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 53 · 63 · 84 · 106 · 126 · 159 · 212 · 252 · 318 · 371 · 477 · 636 · 742 · 954 · 1113 · 1484 · 1908 · 2226 · 3339 · 4452 · 6678 (half) · 13356
Aliquot sum (sum of proper divisors): 25,956
Factor pairs (a × b = 13,356)
1 × 13356
2 × 6678
3 × 4452
4 × 3339
6 × 2226
7 × 1908
9 × 1484
12 × 1113
14 × 954
18 × 742
21 × 636
28 × 477
36 × 371
42 × 318
53 × 252
63 × 212
84 × 159
106 × 126
First multiples
13,356 · 26,712 (double) · 40,068 · 53,424 · 66,780 · 80,136 · 93,492 · 106,848 · 120,204 · 133,560

Sums & aliquot sequence

As consecutive integers: 4,451 + 4,452 + 4,453 1,905 + 1,906 + … + 1,911 1,666 + 1,667 + … + 1,673 1,480 + 1,481 + … + 1,488
Aliquot sequence: 13,356 25,956 49,756 49,812 83,244 138,964 144,326 127,978 67,322 36,250 34,040 48,040 60,140 71,572 58,208 64,264 60,836 — unresolved within range

Representations

In words
thirteen thousand three hundred fifty-six
Ordinal
13356th
Binary
11010000101100
Octal
32054
Hexadecimal
0x342C
Base64
NCw=
One's complement
52,179 (16-bit)
In other bases
ternary (3) 200022200
quaternary (4) 3100230
quinary (5) 411411
senary (6) 141500
septenary (7) 53640
nonary (9) 20280
undecimal (11) a042
duodecimal (12) 7890
tridecimal (13) 6105
tetradecimal (14) 4c20
pentadecimal (15) 3e56

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτνϛʹ
Mayan (base 20)
𝋡·𝋭·𝋧·𝋰
Chinese
一萬三千三百五十六
Chinese (financial)
壹萬參仟參佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٣٥٦ Devanagari १३३५६ Bengali ১৩৩৫৬ Tamil ௧௩௩௫௬ Thai ๑๓๓๕๖ Tibetan ༡༣༣༥༦ Khmer ១៣៣៥៦ Lao ໑໓໓໕໖ Burmese ၁၃၃၅၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,356 = 5
e — Euler's number (e)
Digit 13,356 = 4
φ — Golden ratio (φ)
Digit 13,356 = 8
√2 — Pythagoras's (√2)
Digit 13,356 = 3
ln 2 — Natural log of 2
Digit 13,356 = 0
γ — Euler-Mascheroni (γ)
Digit 13,356 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13356, here are decompositions:

  • 17 + 13339 = 13356
  • 19 + 13337 = 13356
  • 29 + 13327 = 13356
  • 43 + 13313 = 13356
  • 47 + 13309 = 13356
  • 59 + 13297 = 13356
  • 89 + 13267 = 13356
  • 97 + 13259 = 13356

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-342C
U+342C
Other letter (Lo)

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

Hex color
#00342C
RGB(0, 52, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.44.

Address
0.0.52.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.44

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
000013356
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 13356 first appears in π at position 59,515 of the decimal expansion (the 59,515ordinal-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.