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107,968

107,968 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
869,701
Recamán's sequence
a(46,755) = 107,968
Square (n²)
11,657,089,024
Cube (n³)
1,258,592,587,743,232
Divisor count
28
σ(n) — sum of divisors
245,872
φ(n) — Euler's totient
46,080
Sum of prime factors
260

Primality

Prime factorization: 2 6 × 7 × 241

Nearest primes: 107,951 (−17) · 107,971 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 241 · 448 · 482 · 964 · 1687 · 1928 · 3374 · 3856 · 6748 · 7712 · 13496 · 15424 · 26992 · 53984 (half) · 107968
Aliquot sum (sum of proper divisors): 137,904
Factor pairs (a × b = 107,968)
1 × 107968
2 × 53984
4 × 26992
7 × 15424
8 × 13496
14 × 7712
16 × 6748
28 × 3856
32 × 3374
56 × 1928
64 × 1687
112 × 964
224 × 482
241 × 448
First multiples
107,968 · 215,936 (double) · 323,904 · 431,872 · 539,840 · 647,808 · 755,776 · 863,744 · 971,712 · 1,079,680

Sums & aliquot sequence

As consecutive integers: 15,421 + 15,422 + … + 15,427 780 + 781 + … + 907 328 + 329 + … + 568
Aliquot sequence: 107,968 137,904 270,552 405,888 834,432 1,478,928 2,690,448 4,565,040 10,219,728 17,332,080 36,798,384 71,845,456 67,515,044 53,961,556 49,267,724 45,081,076 38,451,632 — unresolved within range

Representations

In words
one hundred seven thousand nine hundred sixty-eight
Ordinal
107968th
Binary
11010010111000000
Octal
322700
Hexadecimal
0x1A5C0
Base64
AaXA
One's complement
4,294,859,327 (32-bit)
In other bases
ternary (3) 12111002211
quaternary (4) 122113000
quinary (5) 11423333
senary (6) 2151504
septenary (7) 626530
nonary (9) 174084
undecimal (11) 74133
duodecimal (12) 52594
tridecimal (13) 3a1b3
tetradecimal (14) 2b4c0
pentadecimal (15) 21ecd

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζϡξηʹ
Mayan (base 20)
𝋭·𝋩·𝋲·𝋨
Chinese
一十萬七千九百六十八
Chinese (financial)
壹拾萬柒仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٧٩٦٨ Devanagari १०७९६८ Bengali ১০৭৯৬৮ Tamil ௧௦௭௯௬௮ Thai ๑๐๗๙๖๘ Tibetan ༡༠༧༩༦༨ Khmer ១០៧៩៦៨ Lao ໑໐໗໙໖໘ Burmese ၁၀၇၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107968, here are decompositions:

  • 17 + 107951 = 107968
  • 41 + 107927 = 107968
  • 71 + 107897 = 107968
  • 101 + 107867 = 107968
  • 131 + 107837 = 107968
  • 191 + 107777 = 107968
  • 227 + 107741 = 107968
  • 251 + 107717 = 107968

Showing the first eight; more decompositions exist.

Hex color
#01A5C0
RGB(1, 165, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.192.

Address
0.1.165.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.192

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 107,968 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 107968 first appears in π at position 367,558 of the decimal expansion (the 367,558ordinal-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.