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13,152

13,152 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
30
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
25,131
Recamán's sequence
a(47,971) = 13,152
Square (n²)
172,975,104
Cube (n³)
2,274,968,567,808
Divisor count
24
σ(n) — sum of divisors
34,776
φ(n) — Euler's totient
4,352
Sum of prime factors
150

Primality

Prime factorization: 2 5 × 3 × 137

Nearest primes: 13,151 (−1) · 13,159 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 137 · 274 · 411 · 548 · 822 · 1096 · 1644 · 2192 · 3288 · 4384 · 6576 (half) · 13152
Aliquot sum (sum of proper divisors): 21,624
Factor pairs (a × b = 13,152)
1 × 13152
2 × 6576
3 × 4384
4 × 3288
6 × 2192
8 × 1644
12 × 1096
16 × 822
24 × 548
32 × 411
48 × 274
96 × 137
First multiples
13,152 · 26,304 (double) · 39,456 · 52,608 · 65,760 · 78,912 · 92,064 · 105,216 · 118,368 · 131,520

Sums & aliquot sequence

As consecutive integers: 4,383 + 4,384 + 4,385 174 + 175 + … + 237 28 + 29 + … + 164
Aliquot sequence: 13,152 21,624 36,696 64,104 96,216 158,184 305,916 498,468 664,652 512,188 384,148 293,984 284,860 313,388 235,048 245,912 223,888 — unresolved within range

Representations

In words
thirteen thousand one hundred fifty-two
Ordinal
13152nd
Binary
11001101100000
Octal
31540
Hexadecimal
0x3360
Base64
M2A=
One's complement
52,383 (16-bit)
In other bases
ternary (3) 200001010
quaternary (4) 3031200
quinary (5) 410102
senary (6) 140520
septenary (7) 53226
nonary (9) 20033
undecimal (11) 9977
duodecimal (12) 7740
tridecimal (13) 5ca9
tetradecimal (14) 4b16
pentadecimal (15) 3d6c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγρνβʹ
Mayan (base 20)
𝋡·𝋬·𝋱·𝋬
Chinese
一萬三千一百五十二
Chinese (financial)
壹萬參仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١٥٢ Devanagari १३१५२ Bengali ১৩১৫২ Tamil ௧௩௧௫௨ Thai ๑๓๑๕๒ Tibetan ༡༣༡༥༢ Khmer ១៣១៥២ Lao ໑໓໑໕໒ Burmese ၁၃၁၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,152 = 1
e — Euler's number (e)
Digit 13,152 = 2
φ — Golden ratio (φ)
Digit 13,152 = 7
√2 — Pythagoras's (√2)
Digit 13,152 = 2
ln 2 — Natural log of 2
Digit 13,152 = 1
γ — Euler-Mascheroni (γ)
Digit 13,152 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13152, here are decompositions:

  • 5 + 13147 = 13152
  • 31 + 13121 = 13152
  • 43 + 13109 = 13152
  • 53 + 13099 = 13152
  • 59 + 13093 = 13152
  • 89 + 13063 = 13152
  • 103 + 13049 = 13152
  • 109 + 13043 = 13152

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Telegraph Symbol For Hour Eight
U+3360
Other symbol (So)

UTF-8 encoding: E3 8D A0 (3 bytes).

Hex color
#003360
RGB(0, 51, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.96.

Address
0.0.51.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.96

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
000013152
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 13152 first appears in π at position 160,118 of the decimal expansion (the 160,118ordinal-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.