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107,372

107,372 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 Odious Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
273,701
Recamán's sequence
a(82,799) = 107,372
Square (n²)
11,528,746,384
Cube (n³)
1,237,864,556,742,848
Divisor count
12
σ(n) — sum of divisors
199,080
φ(n) — Euler's totient
50,496
Sum of prime factors
1,600

Primality

Prime factorization: 2 2 × 17 × 1579

Nearest primes: 107,357 (−15) · 107,377 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 1579 · 3158 · 6316 · 26843 · 53686 (half) · 107372
Aliquot sum (sum of proper divisors): 91,708
Factor pairs (a × b = 107,372)
1 × 107372
2 × 53686
4 × 26843
17 × 6316
34 × 3158
68 × 1579
First multiples
107,372 · 214,744 (double) · 322,116 · 429,488 · 536,860 · 644,232 · 751,604 · 858,976 · 966,348 · 1,073,720

Sums & aliquot sequence

As consecutive integers: 13,418 + 13,419 + … + 13,425 6,308 + 6,309 + … + 6,324 722 + 723 + … + 857
Aliquot sequence: 107,372 91,708 71,084 62,980 74,108 57,604 43,210 37,790 30,250 31,994 18,874 9,440 13,240 16,640 26,284 19,720 28,880 — unresolved within range

Representations

In words
one hundred seven thousand three hundred seventy-two
Ordinal
107372nd
Binary
11010001101101100
Octal
321554
Hexadecimal
0x1A36C
Base64
AaNs
One's complement
4,294,859,923 (32-bit)
In other bases
ternary (3) 12110021202
quaternary (4) 122031230
quinary (5) 11413442
senary (6) 2145032
septenary (7) 625016
nonary (9) 173252
undecimal (11) 73741
duodecimal (12) 52178
tridecimal (13) 39b45
tetradecimal (14) 2b1b6
pentadecimal (15) 21c32

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρζτοβʹ
Mayan (base 20)
𝋭·𝋨·𝋨·𝋬
Chinese
一十萬七千三百七十二
Chinese (financial)
壹拾萬柒仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٧٣٧٢ Devanagari १०७३७२ Bengali ১০৭৩৭২ Tamil ௧௦௭௩௭௨ Thai ๑๐๗๓๗๒ Tibetan ༡༠༧༣༧༢ Khmer ១០៧៣៧២ Lao ໑໐໗໓໗໒ Burmese ၁၀၇၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107372, here are decompositions:

  • 103 + 107269 = 107372
  • 163 + 107209 = 107372
  • 271 + 107101 = 107372
  • 283 + 107089 = 107372
  • 379 + 106993 = 107372
  • 409 + 106963 = 107372
  • 571 + 106801 = 107372
  • 613 + 106759 = 107372

Showing the first eight; more decompositions exist.

Hex color
#01A36C
RGB(1, 163, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.108.

Address
0.1.163.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.108

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 107,372 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000107372
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 107372 first appears in π at position 324,835 of the decimal expansion (the 324,835ordinal-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.