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13,038

13,038 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 Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
83,031
Recamán's sequence
a(48,199) = 13,038
Square (n²)
169,989,444
Cube (n³)
2,216,322,370,872
Divisor count
16
σ(n) — sum of divisors
27,216
φ(n) — Euler's totient
4,160
Sum of prime factors
99

Primality

Prime factorization: 2 × 3 × 41 × 53

Nearest primes: 13,037 (−1) · 13,043 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 41 · 53 · 82 · 106 · 123 · 159 · 246 · 318 · 2173 · 4346 · 6519 (half) · 13038
Aliquot sum (sum of proper divisors): 14,178
Factor pairs (a × b = 13,038)
1 × 13038
2 × 6519
3 × 4346
6 × 2173
41 × 318
53 × 246
82 × 159
106 × 123
First multiples
13,038 · 26,076 (double) · 39,114 · 52,152 · 65,190 · 78,228 · 91,266 · 104,304 · 117,342 · 130,380

Sums & aliquot sequence

As consecutive integers: 4,345 + 4,346 + 4,347 3,258 + 3,259 + 3,260 + 3,261 1,081 + 1,082 + … + 1,092 298 + 299 + … + 338
Aliquot sequence: 13,038 14,178 16,062 16,074 21,366 24,966 32,754 34,638 37,938 37,950 69,186 79,998 83,202 111,054 114,738 132,558 132,570 — unresolved within range

Representations

In words
thirteen thousand thirty-eight
Ordinal
13038th
Binary
11001011101110
Octal
31356
Hexadecimal
0x32EE
Base64
Mu4=
One's complement
52,497 (16-bit)
In other bases
ternary (3) 122212220
quaternary (4) 3023232
quinary (5) 404123
senary (6) 140210
septenary (7) 53004
nonary (9) 18786
undecimal (11) 9883
duodecimal (12) 7666
tridecimal (13) 5c1c
tetradecimal (14) 4a74
pentadecimal (15) 3ce3

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγληʹ
Mayan (base 20)
𝋡·𝋬·𝋫·𝋲
Chinese
一萬三千零三十八
Chinese (financial)
壹萬參仟零參拾捌
In other modern scripts
Eastern Arabic ١٣٠٣٨ Devanagari १३०३८ Bengali ১৩০৩৮ Tamil ௧௩௦௩௮ Thai ๑๓๐๓๘ Tibetan ༡༣༠༣༨ Khmer ១៣០៣៨ Lao ໑໓໐໓໘ Burmese ၁၃၀၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,038 = 3
e — Euler's number (e)
Digit 13,038 = 0
φ — Golden ratio (φ)
Digit 13,038 = 2
√2 — Pythagoras's (√2)
Digit 13,038 = 4
ln 2 — Natural log of 2
Digit 13,038 = 1
γ — Euler-Mascheroni (γ)
Digit 13,038 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13038, here are decompositions:

  • 5 + 13033 = 13038
  • 29 + 13009 = 13038
  • 31 + 13007 = 13038
  • 37 + 13001 = 13038
  • 59 + 12979 = 13038
  • 71 + 12967 = 13038
  • 79 + 12959 = 13038
  • 97 + 12941 = 13038

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana Ma
U+32EE
Other symbol (So)

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

Hex color
#0032EE
RGB(0, 50, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.238.

Address
0.0.50.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.238

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

Position in π

The digit sequence 13038 first appears in π at position 199,550 of the decimal expansion (the 199,550ordinal-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.