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100,032

100,032 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 Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
230,001
Recamán's sequence
a(255,776) = 100,032
Square (n²)
10,006,401,024
Cube (n³)
1,000,960,307,232,768
Divisor count
28
σ(n) — sum of divisors
265,176
φ(n) — Euler's totient
33,280
Sum of prime factors
536

Primality

Prime factorization: 2 6 × 3 × 521

Nearest primes: 100,019 (−13) · 100,043 (+11)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 192 · 521 · 1042 · 1563 · 2084 · 3126 · 4168 · 6252 · 8336 · 12504 · 16672 · 25008 · 33344 · 50016 (half) · 100032
Aliquot sum (sum of proper divisors): 165,144
Factor pairs (a × b = 100,032)
1 × 100032
2 × 50016
3 × 33344
4 × 25008
6 × 16672
8 × 12504
12 × 8336
16 × 6252
24 × 4168
32 × 3126
48 × 2084
64 × 1563
96 × 1042
192 × 521
First multiples
100,032 · 200,064 (double) · 300,096 · 400,128 · 500,160 · 600,192 · 700,224 · 800,256 · 900,288 · 1,000,320

Sums & aliquot sequence

As consecutive integers: 33,343 + 33,344 + 33,345 718 + 719 + … + 845 69 + 70 + … + 452
Aliquot sequence: 100,032 165,144 307,176 460,824 963,816 1,790,424 3,259,236 4,345,676 3,706,732 3,067,028 2,300,278 1,150,142 821,554 429,374 298,546 153,578 90,394 — unresolved within range

Representations

In words
one hundred thousand thirty-two
Ordinal
100032nd
Binary
11000011011000000
Octal
303300
Hexadecimal
0x186C0
Base64
AYbA
One's complement
4,294,867,263 (32-bit)
In other bases
ternary (3) 12002012220
quaternary (4) 120123000
quinary (5) 11200112
senary (6) 2051040
septenary (7) 564432
nonary (9) 162186
undecimal (11) 69179
duodecimal (12) 49a80
tridecimal (13) 366ba
tetradecimal (14) 28652
pentadecimal (15) 1e98c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλβʹ
Mayan (base 20)
𝋬·𝋪·𝋡·𝋬
Chinese
一十萬零三十二
Chinese (financial)
壹拾萬零參拾貳
In other modern scripts
Eastern Arabic ١٠٠٠٣٢ Devanagari १०००३२ Bengali ১০০০৩২ Tamil ௧௦௦௦௩௨ Thai ๑๐๐๐๓๒ Tibetan ༡༠༠༠༣༢ Khmer ១០០០៣២ Lao ໑໐໐໐໓໒ Burmese ၁၀၀၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100032, here are decompositions:

  • 13 + 100019 = 100032
  • 29 + 100003 = 100032
  • 41 + 99991 = 100032
  • 43 + 99989 = 100032
  • 61 + 99971 = 100032
  • 71 + 99961 = 100032
  • 103 + 99929 = 100032
  • 109 + 99923 = 100032

Showing the first eight; more decompositions exist.

Unicode codepoint
𘛀
Tangut Ideograph-186C0
U+186C0
Other letter (Lo)

UTF-8 encoding: F0 98 9B 80 (4 bytes).

Hex color
#0186C0
RGB(1, 134, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.192.

Address
0.1.134.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.134.192

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 100,032 and was likely granted around 1870.

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