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107,988

107,988 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 Odious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
889,701
Recamán's sequence
a(46,715) = 107,988
Square (n²)
11,661,408,144
Cube (n³)
1,259,292,142,654,272
Divisor count
12
σ(n) — sum of divisors
252,000
φ(n) — Euler's totient
35,992
Sum of prime factors
9,006

Primality

Prime factorization: 2 2 × 3 × 8999

Nearest primes: 107,981 (−7) · 107,999 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 8999 · 17998 · 26997 · 35996 · 53994 (half) · 107988
Aliquot sum (sum of proper divisors): 144,012
Factor pairs (a × b = 107,988)
1 × 107988
2 × 53994
3 × 35996
4 × 26997
6 × 17998
12 × 8999
First multiples
107,988 · 215,976 (double) · 323,964 · 431,952 · 539,940 · 647,928 · 755,916 · 863,904 · 971,892 · 1,079,880

Sums & aliquot sequence

As consecutive integers: 35,995 + 35,996 + 35,997 13,495 + 13,496 + … + 13,502 4,488 + 4,489 + … + 4,511
Aliquot sequence: 107,988 144,012 222,900 422,892 710,604 1,085,736 1,772,664 2,692,056 4,081,704 7,050,936 10,779,864 16,169,856 29,326,224 52,043,568 84,304,848 134,320,048 130,193,280 — unresolved within range

Representations

In words
one hundred seven thousand nine hundred eighty-eight
Ordinal
107988th
Binary
11010010111010100
Octal
322724
Hexadecimal
0x1A5D4
Base64
AaXU
One's complement
4,294,859,307 (32-bit)
In other bases
ternary (3) 12111010120
quaternary (4) 122113110
quinary (5) 11423423
senary (6) 2151540
septenary (7) 626556
nonary (9) 174116
undecimal (11) 74151
duodecimal (12) 525b0
tridecimal (13) 3a1ca
tetradecimal (14) 2b4d6
pentadecimal (15) 21ee3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζϡπηʹ
Mayan (base 20)
𝋭·𝋩·𝋳·𝋨
Chinese
一十萬七千九百八十八
Chinese (financial)
壹拾萬柒仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٧٩٨٨ Devanagari १०७९८८ Bengali ১০৭৯৮৮ Tamil ௧௦௭௯௮௮ Thai ๑๐๗๙๘๘ Tibetan ༡༠༧༩༨༨ Khmer ១០៧៩៨៨ Lao ໑໐໗໙໘໘ Burmese ၁၀၇၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107988, here are decompositions:

  • 7 + 107981 = 107988
  • 17 + 107971 = 107988
  • 37 + 107951 = 107988
  • 47 + 107941 = 107988
  • 61 + 107927 = 107988
  • 107 + 107881 = 107988
  • 131 + 107857 = 107988
  • 149 + 107839 = 107988

Showing the first eight; more decompositions exist.

Hex color
#01A5D4
RGB(1, 165, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.212.

Address
0.1.165.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.212

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 107,988 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 107988 first appears in π at position 708,079 of the decimal expansion (the 708,079ordinal-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.