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8,136

8,136 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.).

8,136 (eight thousand one hundred thirty-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 113. Its proper divisors sum to 14,094, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FC8.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
6,318
Recamán's sequence
a(10,495) = 8,136
Square (n²)
66,194,496
Cube (n³)
538,558,419,456
Divisor count
24
σ(n) — sum of divisors
22,230
φ(n) — Euler's totient
2,688
Sum of prime factors
125

Primality

Prime factorization: 2 3 × 3 2 × 113

Nearest primes: 8,123 (−13) · 8,147 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 113 · 226 · 339 · 452 · 678 · 904 · 1017 · 1356 · 2034 · 2712 · 4068 (half) · 8136
Aliquot sum (sum of proper divisors): 14,094
Factor pairs (a × b = 8,136)
1 × 8136
2 × 4068
3 × 2712
4 × 2034
6 × 1356
8 × 1017
9 × 904
12 × 678
18 × 452
24 × 339
36 × 226
72 × 113
First multiples
8,136 · 16,272 (double) · 24,408 · 32,544 · 40,680 · 48,816 · 56,952 · 65,088 · 73,224 · 81,360

Sums & aliquot sequence

As a sum of two squares: 6² + 90²
As consecutive integers: 2,711 + 2,712 + 2,713 900 + 901 + … + 908 501 + 502 + … + 516 146 + 147 + … + 193
Aliquot sequence: 8,136 14,094 18,666 24,858 29,040 69,912 119,628 182,856 299,544 556,776 1,221,624 2,344,536 4,005,444 5,340,620 6,035,668 4,552,812 8,003,004 — unresolved within range

Continued fraction of √n

√8,136 = [90; (5, 180)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
eight thousand one hundred thirty-six
Ordinal
8136th
Binary
1111111001000
Octal
17710
Hexadecimal
0x1FC8
Base64
H8g=
One's complement
57,399 (16-bit)
Scientific notation
8.136 × 10³
As a duration
8,136 s = 2 hours, 15 minutes, 36 seconds
In other bases
ternary (3) 102011100
quaternary (4) 1333020
quinary (5) 230021
senary (6) 101400
septenary (7) 32502
nonary (9) 12140
undecimal (11) 6127
duodecimal (12) 4860
tridecimal (13) 391b
tetradecimal (14) 2d72
pentadecimal (15) 2626

As an angle

8,136° = 22 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηρλϛʹ
Mayan (base 20)
𝋡·𝋠·𝋦·𝋰
Chinese
八千一百三十六
Chinese (financial)
捌仟壹佰參拾陸
In other modern scripts
Eastern Arabic ٨١٣٦ Devanagari ८१३६ Bengali ৮১৩৬ Tamil ௮௧௩௬ Thai ๘๑๓๖ Tibetan ༨༡༣༦ Khmer ៨១៣៦ Lao ໘໑໓໖ Burmese ၈၁၃၆

Digit at this position in famous constants

π — Pi (π)
Digit 8,136 = 3
e — Euler's number (e)
Digit 8,136 = 9
φ — Golden ratio (φ)
Digit 8,136 = 4
√2 — Pythagoras's (√2)
Digit 8,136 = 2
ln 2 — Natural log of 2
Digit 8,136 = 8
γ — Euler-Mascheroni (γ)
Digit 8,136 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8136, here are decompositions:

  • 13 + 8123 = 8136
  • 19 + 8117 = 8136
  • 43 + 8093 = 8136
  • 47 + 8089 = 8136
  • 67 + 8069 = 8136
  • 83 + 8053 = 8136
  • 97 + 8039 = 8136
  • 127 + 8009 = 8136

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Capital Letter Epsilon With Varia
U+1FC8
Uppercase letter (Lu)

UTF-8 encoding: E1 BF 88 (3 bytes).

Hex color
#001FC8
RGB(0, 31, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.200.

Address
0.0.31.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.200

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

Musical pitch

Heard as a frequency, 8,136 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C9 (8372 Hz, -50¢ — about midway to B8)
  • Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -12¢)
  • Baroque pitch (A4 = 415 Hz): C♯9 (8365.9 Hz, -48¢ — about midway to C9)
Position in π

The digit sequence 8136 first appears in π at position 733 of the decimal expansion (the 733ordinal-suffix:rd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.