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13,000

13,000 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 Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
31
Recamán's sequence
a(48,275) = 13,000
Square (n²)
169,000,000
Cube (n³)
2,197,000,000,000
Divisor count
32
σ(n) — sum of divisors
32,760
φ(n) — Euler's totient
4,800
Sum of prime factors
34

Primality

Prime factorization: 2 3 × 5 3 × 13

Nearest primes: 12,983 (−17) · 13,001 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 25 · 26 · 40 · 50 · 52 · 65 · 100 · 104 · 125 · 130 · 200 · 250 · 260 · 325 · 500 · 520 · 650 · 1000 · 1300 · 1625 · 2600 · 3250 · 6500 (half) · 13000
Aliquot sum (sum of proper divisors): 19,760
Factor pairs (a × b = 13,000)
1 × 13000
2 × 6500
4 × 3250
5 × 2600
8 × 1625
10 × 1300
13 × 1000
20 × 650
25 × 520
26 × 500
40 × 325
50 × 260
52 × 250
65 × 200
100 × 130
104 × 125
First multiples
13,000 · 26,000 (double) · 39,000 · 52,000 · 65,000 · 78,000 · 91,000 · 104,000 · 117,000 · 130,000

Sums & aliquot sequence

As a sum of two squares: 2² + 114² = 30² + 110² = 42² + 106² = 70² + 90²
As consecutive integers: 2,598 + 2,599 + 2,600 + 2,601 + 2,602 994 + 995 + … + 1,006 805 + 806 + … + 820 508 + 509 + … + 532
Aliquot sequence: 13,000 19,760 32,320 45,404 34,060 43,556 32,674 20,948 15,718 8,762 5,434 4,646 2,698 1,622 814 554 280 — unresolved within range

Representations

In words
thirteen thousand
Ordinal
13000th
Binary
11001011001000
Octal
31310
Hexadecimal
0x32C8
Base64
Msg=
One's complement
52,535 (16-bit)
In other bases
ternary (3) 122211111
quaternary (4) 3023020
quinary (5) 404000
senary (6) 140104
septenary (7) 52621
nonary (9) 18744
undecimal (11) 9849
duodecimal (12) 7634
tridecimal (13) 5bc0
tetradecimal (14) 4a48
pentadecimal (15) 3cba

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼
Greek (Milesian)
͵ιγ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋠
Chinese
一萬三千
Chinese (financial)
壹萬參仟
In other modern scripts
Eastern Arabic ١٣٠٠٠ Devanagari १३००० Bengali ১৩০০০ Tamil ௧௩௦௦௦ Thai ๑๓๐๐๐ Tibetan ༡༣༠༠༠ Khmer ១៣០០០ Lao ໑໓໐໐໐ Burmese ၁၃၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,000 = 9
e — Euler's number (e)
Digit 13,000 = 2
φ — Golden ratio (φ)
Digit 13,000 = 4
√2 — Pythagoras's (√2)
Digit 13,000 = 1
ln 2 — Natural log of 2
Digit 13,000 = 6
γ — Euler-Mascheroni (γ)
Digit 13,000 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13000, here are decompositions:

  • 17 + 12983 = 13000
  • 41 + 12959 = 13000
  • 47 + 12953 = 13000
  • 59 + 12941 = 13000
  • 83 + 12917 = 13000
  • 89 + 12911 = 13000
  • 101 + 12899 = 13000
  • 107 + 12893 = 13000

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Telegraph Symbol For September
U+32C8
Other symbol (So)

UTF-8 encoding: E3 8B 88 (3 bytes).

Hex color
#0032C8
RGB(0, 50, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.200.

Address
0.0.50.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.200

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
000013000
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 13000 first appears in π at position 198,968 of the decimal expansion (the 198,968ordinal-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.