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107,972

107,972 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
279,701
Recamán's sequence
a(46,747) = 107,972
Square (n²)
11,657,952,784
Cube (n³)
1,258,732,477,994,048
Divisor count
6
σ(n) — sum of divisors
188,958
φ(n) — Euler's totient
53,984
Sum of prime factors
26,997

Primality

Prime factorization: 2 2 × 26993

Nearest primes: 107,971 (−1) · 107,981 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 26993 · 53986 (half) · 107972
Aliquot sum (sum of proper divisors): 80,986
Factor pairs (a × b = 107,972)
1 × 107972
2 × 53986
4 × 26993
First multiples
107,972 · 215,944 (double) · 323,916 · 431,888 · 539,860 · 647,832 · 755,804 · 863,776 · 971,748 · 1,079,720

Sums & aliquot sequence

As a sum of two squares: 206² + 256²
As consecutive integers: 13,493 + 13,494 + … + 13,500
Aliquot sequence: 107,972 80,986 40,496 37,996 42,644 42,700 64,932 108,444 180,964 198,044 234,724 245,084 245,140 383,852 383,908 383,964 659,820 — unresolved within range

Representations

In words
one hundred seven thousand nine hundred seventy-two
Ordinal
107972nd
Binary
11010010111000100
Octal
322704
Hexadecimal
0x1A5C4
Base64
AaXE
One's complement
4,294,859,323 (32-bit)
In other bases
ternary (3) 12111002222
quaternary (4) 122113010
quinary (5) 11423342
senary (6) 2151512
septenary (7) 626534
nonary (9) 174088
undecimal (11) 74137
duodecimal (12) 52598
tridecimal (13) 3a1b7
tetradecimal (14) 2b4c4
pentadecimal (15) 21ed2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρζϡοβʹ
Mayan (base 20)
𝋭·𝋩·𝋲·𝋬
Chinese
一十萬七千九百七十二
Chinese (financial)
壹拾萬柒仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٧٩٧٢ Devanagari १०७९७२ Bengali ১০৭৯৭২ Tamil ௧௦௭௯௭௨ Thai ๑๐๗๙๗๒ Tibetan ༡༠༧༩༧༢ Khmer ១០៧៩៧២ Lao ໑໐໗໙໗໒ Burmese ၁၀၇၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107972, here are decompositions:

  • 31 + 107941 = 107972
  • 181 + 107791 = 107972
  • 199 + 107773 = 107972
  • 211 + 107761 = 107972
  • 331 + 107641 = 107972
  • 373 + 107599 = 107972
  • 409 + 107563 = 107972
  • 463 + 107509 = 107972

Showing the first eight; more decompositions exist.

Hex color
#01A5C4
RGB(1, 165, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.196.

Address
0.1.165.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.196

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 107,972 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 107972 first appears in π at position 888,428 of the decimal expansion (the 888,428ordinal-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.