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13,398

13,398 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
648
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
89,331
Recamán's sequence
a(47,479) = 13,398
Square (n²)
179,506,404
Cube (n³)
2,405,026,800,792
Divisor count
32
σ(n) — sum of divisors
34,560
φ(n) — Euler's totient
3,360
Sum of prime factors
52

Primality

Prime factorization: 2 × 3 × 7 × 11 × 29

Nearest primes: 13,397 (−1) · 13,399 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 11 · 14 · 21 · 22 · 29 · 33 · 42 · 58 · 66 · 77 · 87 · 154 · 174 · 203 · 231 · 319 · 406 · 462 · 609 · 638 · 957 · 1218 · 1914 · 2233 · 4466 · 6699 (half) · 13398
Aliquot sum (sum of proper divisors): 21,162
Factor pairs (a × b = 13,398)
1 × 13398
2 × 6699
3 × 4466
6 × 2233
7 × 1914
11 × 1218
14 × 957
21 × 638
22 × 609
29 × 462
33 × 406
42 × 319
58 × 231
66 × 203
77 × 174
87 × 154
First multiples
13,398 · 26,796 (double) · 40,194 · 53,592 · 66,990 · 80,388 · 93,786 · 107,184 · 120,582 · 133,980

Sums & aliquot sequence

As consecutive integers: 4,465 + 4,466 + 4,467 3,348 + 3,349 + 3,350 + 3,351 1,911 + 1,912 + … + 1,917 1,213 + 1,214 + … + 1,223
Aliquot sequence: 13,398 21,162 21,174 21,186 29,358 43,650 74,832 118,608 232,560 637,920 1,543,896 2,747,664 4,942,382 2,482,018 2,245,790 1,796,650 1,545,212 — unresolved within range

Representations

In words
thirteen thousand three hundred ninety-eight
Ordinal
13398th
Binary
11010001010110
Octal
32126
Hexadecimal
0x3456
Base64
NFY=
One's complement
52,137 (16-bit)
In other bases
ternary (3) 200101020
quaternary (4) 3101112
quinary (5) 412043
senary (6) 142010
septenary (7) 54030
nonary (9) 20336
undecimal (11) a080
duodecimal (12) 7906
tridecimal (13) 6138
tetradecimal (14) 4c50
pentadecimal (15) 3e83

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτϟηʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋲
Chinese
一萬三千三百九十八
Chinese (financial)
壹萬參仟參佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٣٩٨ Devanagari १३३९८ Bengali ১৩৩৯৮ Tamil ௧௩௩௯௮ Thai ๑๓๓๙๘ Tibetan ༡༣༣༩༨ Khmer ១៣៣៩៨ Lao ໑໓໓໙໘ Burmese ၁၃၃၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,398 = 1
e — Euler's number (e)
Digit 13,398 = 4
φ — Golden ratio (φ)
Digit 13,398 = 9
√2 — Pythagoras's (√2)
Digit 13,398 = 2
ln 2 — Natural log of 2
Digit 13,398 = 1
γ — Euler-Mascheroni (γ)
Digit 13,398 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13398, here are decompositions:

  • 17 + 13381 = 13398
  • 31 + 13367 = 13398
  • 59 + 13339 = 13398
  • 61 + 13337 = 13398
  • 67 + 13331 = 13398
  • 71 + 13327 = 13398
  • 89 + 13309 = 13398
  • 101 + 13297 = 13398

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3456
U+3456
Other letter (Lo)

UTF-8 encoding: E3 91 96 (3 bytes).

Hex color
#003456
RGB(0, 52, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.86.

Address
0.0.52.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.86

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
000013398
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 13398 first appears in π at position 260,923 of the decimal expansion (the 260,923ordinal-suffix:rd 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.