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110,372

110,372 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.).

110,372 (one hundred ten thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 41 × 673. Written other ways, in hexadecimal, 0x1AF24.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
273,011
Recamán's sequence
a(78,087) = 110,372
Square (n²)
12,181,978,384
Cube (n³)
1,344,549,318,198,848
Divisor count
12
σ(n) — sum of divisors
198,156
φ(n) — Euler's totient
53,760
Sum of prime factors
718

Primality

Prime factorization: 2 2 × 41 × 673

Nearest primes: 110,359 (−13) · 110,419 (+47)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 41 · 82 · 164 · 673 · 1346 · 2692 · 27593 · 55186 (half) · 110372
Aliquot sum (sum of proper divisors): 87,784
Factor pairs (a × b = 110,372)
1 × 110372
2 × 55186
4 × 27593
41 × 2692
82 × 1346
164 × 673
First multiples
110,372 · 220,744 (double) · 331,116 · 441,488 · 551,860 · 662,232 · 772,604 · 882,976 · 993,348 · 1,103,720

Sums & aliquot sequence

As a sum of two squares: 64² + 326² = 134² + 304²
As consecutive integers: 13,793 + 13,794 + … + 13,800 2,672 + 2,673 + … + 2,712 173 + 174 + … + 500
Aliquot sequence: 110,372 87,784 76,826 39,814 23,474 15,628 11,728 11,026 6,074 3,040 4,520 5,740 8,372 10,444 10,500 24,444 46,900 — unresolved within range

Continued fraction of √n

√110,372 = [332; (4, 2, 20, 3, 7, 1, 2, 10, 28, 1, 3, 1, 4, 2, 1, 1, 4, 1, 1, 1, 3, 2, 3, 8, …)]

Representations

In words
one hundred ten thousand three hundred seventy-two
Ordinal
110372nd
Binary
11010111100100100
Octal
327444
Hexadecimal
0x1AF24
Base64
Aa8k
One's complement
4,294,856,923 (32-bit)
Scientific notation
1.10372 × 10⁵
As a duration
110,372 s = 1 day, 6 hours, 39 minutes, 32 seconds
In other bases
ternary (3) 12121101212
quaternary (4) 122330210
quinary (5) 12012442
senary (6) 2210552
septenary (7) 636533
nonary (9) 177355
undecimal (11) 75a19
duodecimal (12) 53a58
tridecimal (13) 3b312
tetradecimal (14) 2c31a
pentadecimal (15) 22a82

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριτοβʹ
Mayan (base 20)
𝋭·𝋯·𝋲·𝋬
Chinese
一十一萬零三百七十二
Chinese (financial)
壹拾壹萬零參佰柒拾貳
In other modern scripts
Eastern Arabic ١١٠٣٧٢ Devanagari ११०३७२ Bengali ১১০৩৭২ Tamil ௧௧௦௩௭௨ Thai ๑๑๐๓๗๒ Tibetan ༡༡༠༣༧༢ Khmer ១១០៣៧២ Lao ໑໑໐໓໗໒ Burmese ၁၁၀၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110372, here are decompositions:

  • 13 + 110359 = 110372
  • 61 + 110311 = 110372
  • 103 + 110269 = 110372
  • 139 + 110233 = 110372
  • 151 + 110221 = 110372
  • 211 + 110161 = 110372
  • 313 + 110059 = 110372
  • 349 + 110023 = 110372

Showing the first eight; more decompositions exist.

Hex color
#01AF24
RGB(1, 175, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.36.

Address
0.1.175.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.36

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 110,372 and was likely granted around 1871.

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

Position in π

The digit sequence 110372 first appears in π at position 597,936 of the decimal expansion (the 597,936ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.