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13,072

13,072 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 Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
27,031
Recamán's sequence
a(48,131) = 13,072
Square (n²)
170,877,184
Cube (n³)
2,233,706,549,248
Divisor count
20
σ(n) — sum of divisors
27,280
φ(n) — Euler's totient
6,048
Sum of prime factors
70

Primality

Prime factorization: 2 4 × 19 × 43

Nearest primes: 13,063 (−9) · 13,093 (+21)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 19 · 38 · 43 · 76 · 86 · 152 · 172 · 304 · 344 · 688 · 817 · 1634 · 3268 · 6536 (half) · 13072
Aliquot sum (sum of proper divisors): 14,208
Factor pairs (a × b = 13,072)
1 × 13072
2 × 6536
4 × 3268
8 × 1634
16 × 817
19 × 688
38 × 344
43 × 304
76 × 172
86 × 152
First multiples
13,072 · 26,144 (double) · 39,216 · 52,288 · 65,360 · 78,432 · 91,504 · 104,576 · 117,648 · 130,720

Sums & aliquot sequence

As consecutive integers: 679 + 680 + … + 697 393 + 394 + … + 424 283 + 284 + … + 325
Aliquot sequence: 13,072 14,208 24,552 50,328 90,072 164,028 218,732 167,668 128,684 101,140 128,180 189,340 208,316 175,564 131,680 179,792 189,604 — unresolved within range

Representations

In words
thirteen thousand seventy-two
Ordinal
13072nd
Binary
11001100010000
Octal
31420
Hexadecimal
0x3310
Base64
MxA=
One's complement
52,463 (16-bit)
In other bases
ternary (3) 122221011
quaternary (4) 3030100
quinary (5) 404242
senary (6) 140304
septenary (7) 53053
nonary (9) 18834
undecimal (11) 9904
duodecimal (12) 7694
tridecimal (13) 5c47
tetradecimal (14) 4a9a
pentadecimal (15) 3d17

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγοβʹ
Mayan (base 20)
𝋡·𝋬·𝋭·𝋬
Chinese
一萬三千零七十二
Chinese (financial)
壹萬參仟零柒拾貳
In other modern scripts
Eastern Arabic ١٣٠٧٢ Devanagari १३०७२ Bengali ১৩০৭২ Tamil ௧௩௦௭௨ Thai ๑๓๐๗๒ Tibetan ༡༣༠༧༢ Khmer ១៣០៧២ Lao ໑໓໐໗໒ Burmese ၁၃၀၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,072 = 1
e — Euler's number (e)
Digit 13,072 = 1
φ — Golden ratio (φ)
Digit 13,072 = 6
√2 — Pythagoras's (√2)
Digit 13,072 = 4
ln 2 — Natural log of 2
Digit 13,072 = 6
γ — Euler-Mascheroni (γ)
Digit 13,072 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13072, here are decompositions:

  • 23 + 13049 = 13072
  • 29 + 13043 = 13072
  • 71 + 13001 = 13072
  • 89 + 12983 = 13072
  • 113 + 12959 = 13072
  • 131 + 12941 = 13072
  • 149 + 12923 = 13072
  • 173 + 12899 = 13072

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Giga
U+3310
Other symbol (So)

UTF-8 encoding: E3 8C 90 (3 bytes).

Hex color
#003310
RGB(0, 51, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.16.

Address
0.0.51.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.16

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

Position in π

The digit sequence 13072 first appears in π at position 63,095 of the decimal expansion (the 63,095ordinal-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.