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13,002

13,002 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 Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
20,031
Recamán's sequence
a(48,271) = 13,002
Square (n²)
169,052,004
Cube (n³)
2,198,014,156,008
Divisor count
16
σ(n) — sum of divisors
28,512
φ(n) — Euler's totient
3,920
Sum of prime factors
213

Primality

Prime factorization: 2 × 3 × 11 × 197

Nearest primes: 13,001 (−1) · 13,003 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 197 · 394 · 591 · 1182 · 2167 · 4334 · 6501 (half) · 13002
Aliquot sum (sum of proper divisors): 15,510
Factor pairs (a × b = 13,002)
1 × 13002
2 × 6501
3 × 4334
6 × 2167
11 × 1182
22 × 591
33 × 394
66 × 197
First multiples
13,002 · 26,004 (double) · 39,006 · 52,008 · 65,010 · 78,012 · 91,014 · 104,016 · 117,018 · 130,020

Sums & aliquot sequence

As consecutive integers: 4,333 + 4,334 + 4,335 3,249 + 3,250 + 3,251 + 3,252 1,177 + 1,178 + … + 1,187 1,078 + 1,079 + … + 1,089
Aliquot sequence: 13,002 15,510 25,962 25,974 37,866 37,878 39,882 48,534 48,546 66,654 105,882 136,230 209,370 365,478 365,490 622,926 726,786 — unresolved within range

Representations

In words
thirteen thousand two
Ordinal
13002nd
Binary
11001011001010
Octal
31312
Hexadecimal
0x32CA
Base64
Mso=
One's complement
52,533 (16-bit)
In other bases
ternary (3) 122211120
quaternary (4) 3023022
quinary (5) 404002
senary (6) 140110
septenary (7) 52623
nonary (9) 18746
undecimal (11) 9850
duodecimal (12) 7636
tridecimal (13) 5bc2
tetradecimal (14) 4a4a
pentadecimal (15) 3cbc

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ιγβʹ
Mayan (base 20)
𝋡·𝋬·𝋪·𝋢
Chinese
一萬三千零二
Chinese (financial)
壹萬參仟零貳
In other modern scripts
Eastern Arabic ١٣٠٠٢ Devanagari १३००२ Bengali ১৩০০২ Tamil ௧௩௦௦௨ Thai ๑๓๐๐๒ Tibetan ༡༣༠༠༢ Khmer ១៣០០២ Lao ໑໓໐໐໒ Burmese ၁၃၀၀၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,002 = 4
e — Euler's number (e)
Digit 13,002 = 0
φ — Golden ratio (φ)
Digit 13,002 = 1
√2 — Pythagoras's (√2)
Digit 13,002 = 5
ln 2 — Natural log of 2
Digit 13,002 = 0
γ — Euler-Mascheroni (γ)
Digit 13,002 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13002, here are decompositions:

  • 19 + 12983 = 13002
  • 23 + 12979 = 13002
  • 29 + 12973 = 13002
  • 43 + 12959 = 13002
  • 61 + 12941 = 13002
  • 79 + 12923 = 13002
  • 83 + 12919 = 13002
  • 103 + 12899 = 13002

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Telegraph Symbol For November
U+32CA
Other symbol (So)

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

Hex color
#0032CA
RGB(0, 50, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.202.

Address
0.0.50.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.202

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 13002 first appears in π at position 122,234 of the decimal expansion (the 122,234ordinal-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.