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100,008

100,008 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 Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
800,001
Flips to (rotate 180°)
800,001
Recamán's sequence
a(255,824) = 100,008
Square (n²)
10,001,600,064
Cube (n³)
1,000,240,019,200,512
Divisor count
32
σ(n) — sum of divisors
278,400
φ(n) — Euler's totient
33,264
Sum of prime factors
478

Primality

Prime factorization: 2 3 × 3 3 × 463

Nearest primes: 100,003 (−5) · 100,019 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 108 · 216 · 463 · 926 · 1389 · 1852 · 2778 · 3704 · 4167 · 5556 · 8334 · 11112 · 12501 · 16668 · 25002 · 33336 · 50004 (half) · 100008
Aliquot sum (sum of proper divisors): 178,392
Factor pairs (a × b = 100,008)
1 × 100008
2 × 50004
3 × 33336
4 × 25002
6 × 16668
8 × 12501
9 × 11112
12 × 8334
18 × 5556
24 × 4167
27 × 3704
36 × 2778
54 × 1852
72 × 1389
108 × 926
216 × 463
First multiples
100,008 · 200,016 (double) · 300,024 · 400,032 · 500,040 · 600,048 · 700,056 · 800,064 · 900,072 · 1,000,080

Sums & aliquot sequence

As consecutive integers: 33,335 + 33,336 + 33,337 11,108 + 11,109 + … + 11,116 6,243 + 6,244 + … + 6,258 3,691 + 3,692 + … + 3,717
Aliquot sequence: 100,008 178,392 267,648 503,472 875,904 1,451,736 3,386,664 6,021,336 9,032,064 15,562,176 31,498,944 51,842,520 131,632,200 391,429,560 831,072,840 1,853,936,760 4,229,422,440 — unresolved within range

Representations

In words
one hundred thousand eight
Ordinal
100008th
Binary
11000011010101000
Octal
303250
Hexadecimal
0x186A8
Base64
AYao
One's complement
4,294,867,287 (32-bit)
In other bases
ternary (3) 12002012000
quaternary (4) 120122220
quinary (5) 11200013
senary (6) 2051000
septenary (7) 564366
nonary (9) 162160
undecimal (11) 69157
duodecimal (12) 49a60
tridecimal (13) 3669c
tetradecimal (14) 28636
pentadecimal (15) 1e973

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηʹ
Mayan (base 20)
𝋬·𝋪·𝋠·𝋨
Chinese
一十萬零八
Chinese (financial)
壹拾萬零捌
In other modern scripts
Eastern Arabic ١٠٠٠٠٨ Devanagari १००००८ Bengali ১০০০০৮ Tamil ௧௦௦௦௦௮ Thai ๑๐๐๐๐๘ Tibetan ༡༠༠༠༠༨ Khmer ១០០០០៨ Lao ໑໐໐໐໐໘ Burmese ၁၀၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100008, here are decompositions:

  • 5 + 100003 = 100008
  • 17 + 99991 = 100008
  • 19 + 99989 = 100008
  • 37 + 99971 = 100008
  • 47 + 99961 = 100008
  • 79 + 99929 = 100008
  • 101 + 99907 = 100008
  • 107 + 99901 = 100008

Showing the first eight; more decompositions exist.

Unicode codepoint
𘚨
Tangut Ideograph-186A8
U+186A8
Other letter (Lo)

UTF-8 encoding: F0 98 9A A8 (4 bytes).

Hex color
#0186A8
RGB(1, 134, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.168.

Address
0.1.134.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.134.168

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 100,008 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 100008 first appears in π at position 764,792 of the decimal expansion (the 764,792ordinal-suffix:nd 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.