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100,992

100,992 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 Gapful Number Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
299,001
Square (n²)
10,199,384,064
Cube (n³)
1,030,056,195,391,488
Divisor count
32
σ(n) — sum of divisors
269,280
φ(n) — Euler's totient
33,536
Sum of prime factors
280

Primality

Prime factorization: 2 7 × 3 × 263

Nearest primes: 100,987 (−5) · 100,999 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 263 · 384 · 526 · 789 · 1052 · 1578 · 2104 · 3156 · 4208 · 6312 · 8416 · 12624 · 16832 · 25248 · 33664 · 50496 (half) · 100992
Aliquot sum (sum of proper divisors): 168,288
Factor pairs (a × b = 100,992)
1 × 100992
2 × 50496
3 × 33664
4 × 25248
6 × 16832
8 × 12624
12 × 8416
16 × 6312
24 × 4208
32 × 3156
48 × 2104
64 × 1578
96 × 1052
128 × 789
192 × 526
263 × 384
First multiples
100,992 · 201,984 (double) · 302,976 · 403,968 · 504,960 · 605,952 · 706,944 · 807,936 · 908,928 · 1,009,920

Sums & aliquot sequence

As consecutive integers: 33,663 + 33,664 + 33,665 267 + 268 + … + 522 253 + 254 + … + 515
Aliquot sequence: 100,992 168,288 273,720 547,800 1,327,080 2,654,520 6,037,320 12,075,000 32,922,120 92,660,280 185,320,920 370,642,200 815,472,360 2,145,213,720 5,649,625,080 14,380,877,880 — keeps growing

Continued fraction of √n

√100,992 = [317; (1, 3, 1, 4, 2, 4, 1, 3, 1, 634)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand nine hundred ninety-two
Ordinal
100992nd
Binary
11000101010000000
Octal
305200
Hexadecimal
0x18A80
Base64
AYqA
One's complement
4,294,866,303 (32-bit)
Scientific notation
1.00992 × 10⁵
In other bases
ternary (3) 12010112110
quaternary (4) 120222000
quinary (5) 11212432
senary (6) 2055320
septenary (7) 600303
nonary (9) 163473
undecimal (11) 69971
duodecimal (12) 4a540
tridecimal (13) 36c78
tetradecimal (14) 28b3a
pentadecimal (15) 1edcc

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρϡϟβʹ
Mayan (base 20)
𝋬·𝋬·𝋩·𝋬
Chinese
一十萬零九百九十二
Chinese (financial)
壹拾萬零玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٠٠٩٩٢ Devanagari १००९९२ Bengali ১০০৯৯২ Tamil ௧௦௦௯௯௨ Thai ๑๐๐๙๙๒ Tibetan ༡༠༠༩༩༢ Khmer ១០០៩៩២ Lao ໑໐໐໙໙໒ Burmese ၁၀၀၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100992, here are decompositions:

  • 5 + 100987 = 100992
  • 11 + 100981 = 100992
  • 61 + 100931 = 100992
  • 79 + 100913 = 100992
  • 139 + 100853 = 100992
  • 163 + 100829 = 100992
  • 181 + 100811 = 100992
  • 191 + 100801 = 100992

Showing the first eight; more decompositions exist.

Unicode codepoint
𘪀
Tangut Component-641
U+18A80
Other letter (Lo)

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

Hex color
#018A80
RGB(1, 138, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.128.

Address
0.1.138.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.128

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 100,992 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 100992 first appears in π at position 860,842 of the decimal expansion (the 860,842ordinal-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.