number.wiki
Live analysis

13,204

13,204 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
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
40,231
Recamán's sequence
a(47,867) = 13,204
Square (n²)
174,345,616
Cube (n³)
2,302,059,513,664
Divisor count
6
σ(n) — sum of divisors
23,114
φ(n) — Euler's totient
6,600
Sum of prime factors
3,305

Primality

Prime factorization: 2 2 × 3301

Nearest primes: 13,187 (−17) · 13,217 (+13)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 3301 · 6602 (half) · 13204
Aliquot sum (sum of proper divisors): 9,910
Factor pairs (a × b = 13,204)
1 × 13204
2 × 6602
4 × 3301
First multiples
13,204 · 26,408 (double) · 39,612 · 52,816 · 66,020 · 79,224 · 92,428 · 105,632 · 118,836 · 132,040

Sums & aliquot sequence

As a sum of two squares: 60² + 98²
As consecutive integers: 1,647 + 1,648 + … + 1,654
Aliquot sequence: 13,204 9,910 7,946 4,474 2,240 3,856 3,646 1,826 1,198 602 454 230 202 104 106 56 64 — unresolved within range

Representations

In words
thirteen thousand two hundred four
Ordinal
13204th
Binary
11001110010100
Octal
31624
Hexadecimal
0x3394
Base64
M5Q=
One's complement
52,331 (16-bit)
In other bases
ternary (3) 200010001
quaternary (4) 3032110
quinary (5) 410304
senary (6) 141044
septenary (7) 53332
nonary (9) 20101
undecimal (11) 9a14
duodecimal (12) 7784
tridecimal (13) 6019
tetradecimal (14) 4b52
pentadecimal (15) 3da4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσδʹ
Mayan (base 20)
𝋡·𝋭·𝋠·𝋤
Chinese
一萬三千二百零四
Chinese (financial)
壹萬參仟貳佰零肆
In other modern scripts
Eastern Arabic ١٣٢٠٤ Devanagari १३२०४ Bengali ১৩২০৪ Tamil ௧௩௨௦௪ Thai ๑๓๒๐๔ Tibetan ༡༣༢༠༤ Khmer ១៣២០៤ Lao ໑໓໒໐໔ Burmese ၁၃၂၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,204 = 0
e — Euler's number (e)
Digit 13,204 = 5
φ — Golden ratio (φ)
Digit 13,204 = 0
√2 — Pythagoras's (√2)
Digit 13,204 = 7
ln 2 — Natural log of 2
Digit 13,204 = 1
γ — Euler-Mascheroni (γ)
Digit 13,204 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13204, here are decompositions:

  • 17 + 13187 = 13204
  • 41 + 13163 = 13204
  • 53 + 13151 = 13204
  • 83 + 13121 = 13204
  • 101 + 13103 = 13204
  • 167 + 13037 = 13204
  • 197 + 13007 = 13204
  • 251 + 12953 = 13204

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Thz
U+3394
Other symbol (So)

UTF-8 encoding: E3 8E 94 (3 bytes).

Hex color
#003394
RGB(0, 51, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.148.

Address
0.0.51.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.148

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
000013204
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 13204 first appears in π at position 53,001 of the decimal expansion (the 53,001ordinal-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.