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13,408

13,408 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.).
Arithmetic Number Deficient Number Harshad / Niven 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
80,431
Recamán's sequence
a(47,459) = 13,408
Square (n²)
179,774,464
Cube (n³)
2,410,416,013,312
Divisor count
12
σ(n) — sum of divisors
26,460
φ(n) — Euler's totient
6,688
Sum of prime factors
429

Primality

Prime factorization: 2 5 × 419

Nearest primes: 13,399 (−9) · 13,411 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 419 · 838 · 1676 · 3352 · 6704 (half) · 13408
Aliquot sum (sum of proper divisors): 13,052
Factor pairs (a × b = 13,408)
1 × 13408
2 × 6704
4 × 3352
8 × 1676
16 × 838
32 × 419
First multiples
13,408 · 26,816 (double) · 40,224 · 53,632 · 67,040 · 80,448 · 93,856 · 107,264 · 120,672 · 134,080

Sums & aliquot sequence

As consecutive integers: 178 + 179 + … + 241
Aliquot sequence: 13,408 13,052 11,644 9,524 7,150 8,474 4,966 3,098 1,552 1,486 746 376 344 316 244 190 170 — unresolved within range

Representations

In words
thirteen thousand four hundred eight
Ordinal
13408th
Binary
11010001100000
Octal
32140
Hexadecimal
0x3460
Base64
NGA=
One's complement
52,127 (16-bit)
In other bases
ternary (3) 200101121
quaternary (4) 3101200
quinary (5) 412113
senary (6) 142024
septenary (7) 54043
nonary (9) 20347
undecimal (11) a08a
duodecimal (12) 7914
tridecimal (13) 6145
tetradecimal (14) 4c5a
pentadecimal (15) 3e8d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυηʹ
Mayan (base 20)
𝋡·𝋭·𝋪·𝋨
Chinese
一萬三千四百零八
Chinese (financial)
壹萬參仟肆佰零捌
In other modern scripts
Eastern Arabic ١٣٤٠٨ Devanagari १३४०८ Bengali ১৩৪০৮ Tamil ௧௩௪௦௮ Thai ๑๓๔๐๘ Tibetan ༡༣༤༠༨ Khmer ១៣៤០៨ Lao ໑໓໔໐໘ Burmese ၁၃၄၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,408 = 6
e — Euler's number (e)
Digit 13,408 = 3
φ — Golden ratio (φ)
Digit 13,408 = 0
√2 — Pythagoras's (√2)
Digit 13,408 = 8
ln 2 — Natural log of 2
Digit 13,408 = 8
γ — Euler-Mascheroni (γ)
Digit 13,408 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13408, here are decompositions:

  • 11 + 13397 = 13408
  • 41 + 13367 = 13408
  • 71 + 13337 = 13408
  • 149 + 13259 = 13408
  • 167 + 13241 = 13408
  • 179 + 13229 = 13408
  • 191 + 13217 = 13408
  • 257 + 13151 = 13408

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3460
U+3460
Other letter (Lo)

UTF-8 encoding: E3 91 A0 (3 bytes).

Hex color
#003460
RGB(0, 52, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.96.

Address
0.0.52.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.96

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
000013408
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 13408 first appears in π at position 7,491 of the decimal expansion (the 7,491ordinal-suffix:st 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.