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8,100

8,100 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 Evil Number Flippable Harshad / Niven Perfect Square Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
18
Flips to (rotate 180°)
18
Recamán's sequence
a(52,151) = 8,100
Square (n²)
65,610,000
Cube (n³)
531,441,000,000
Square root (√n)
90
Divisor count
45
σ(n) — sum of divisors
26,257
φ(n) — Euler's totient
2,160
Sum of prime factors
26

Primality

Prime factorization: 2 2 × 3 4 × 5 2

Nearest primes: 8,093 (−7) · 8,101 (+1)

Divisors & multiples

All divisors (45)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 27 · 30 · 36 · 45 · 50 · 54 · 60 · 75 · 81 · 90 · 100 · 108 · 135 · 150 · 162 · 180 · 225 · 270 · 300 · 324 · 405 · 450 · 540 · 675 · 810 · 900 · 1350 · 1620 · 2025 · 2700 · 4050 (half) · 8100
Aliquot sum (sum of proper divisors): 18,157
Factor pairs (a × b = 8,100)
1 × 8100
2 × 4050
3 × 2700
4 × 2025
5 × 1620
6 × 1350
9 × 900
10 × 810
12 × 675
15 × 540
18 × 450
20 × 405
25 × 324
27 × 300
30 × 270
36 × 225
45 × 180
50 × 162
54 × 150
60 × 135
75 × 108
81 × 100
90 × 90
First multiples
8,100 · 16,200 (double) · 24,300 · 32,400 · 40,500 · 48,600 · 56,700 · 64,800 · 72,900 · 81,000

Sums & aliquot sequence

As a sum of two squares: 0² + 90² = 54² + 72²
As consecutive integers: 2,699 + 2,700 + 2,701 1,618 + 1,619 + 1,620 + 1,621 + 1,622 1,009 + 1,010 + … + 1,016 896 + 897 + … + 904
Aliquot sequence: 8,100 18,157 339 117 65 19 1 0 — terminates at zero

Representations

In words
eight thousand one hundred
Ordinal
8100th
Binary
1111110100100
Octal
17644
Hexadecimal
0x1FA4
Base64
H6Q=
One's complement
57,435 (16-bit)
In other bases
ternary (3) 102010000
quaternary (4) 1332210
quinary (5) 224400
senary (6) 101300
septenary (7) 32421
nonary (9) 12100
undecimal (11) 60a4
duodecimal (12) 4830
tridecimal (13) 38c1
tetradecimal (14) 2d48
pentadecimal (15) 2600

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian)
͵ηρʹ
Mayan (base 20)
𝋡·𝋠·𝋥·𝋠
Chinese
八千一百
Chinese (financial)
捌仟壹佰
In other modern scripts
Eastern Arabic ٨١٠٠ Devanagari ८१०० Bengali ৮১০০ Tamil ௮௧௦௦ Thai ๘๑๐๐ Tibetan ༨༡༠༠ Khmer ៨១០០ Lao ໘໑໐໐ Burmese ၈၁၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 8,100 = 7
e — Euler's number (e)
Digit 8,100 = 5
φ — Golden ratio (φ)
Digit 8,100 = 1
√2 — Pythagoras's (√2)
Digit 8,100 = 1
ln 2 — Natural log of 2
Digit 8,100 = 5
γ — Euler-Mascheroni (γ)
Digit 8,100 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8100, here are decompositions:

  • 7 + 8093 = 8100
  • 11 + 8089 = 8100
  • 13 + 8087 = 8100
  • 19 + 8081 = 8100
  • 31 + 8069 = 8100
  • 41 + 8059 = 8100
  • 47 + 8053 = 8100
  • 61 + 8039 = 8100

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Omega With Psili And Oxia And Ypogegrammeni
U+1FA4
Lowercase letter (Ll)

UTF-8 encoding: E1 BE A4 (3 bytes).

Hex color
#001FA4
RGB(0, 31, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.164.

Address
0.0.31.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.164

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

Position in π

The digit sequence 8100 first appears in π at position 2,879 of the decimal expansion (the 2,879ordinal-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.