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113,378

113,378 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.).

113,378 (one hundred thirteen thousand three hundred seventy-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 83 × 683. Written other ways, in hexadecimal, 0x1BAE2.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
873,311
Recamán's sequence
a(55,547) = 113,378
Square (n²)
12,854,570,884
Cube (n³)
1,457,425,537,686,152
Divisor count
8
σ(n) — sum of divisors
172,368
φ(n) — Euler's totient
55,924
Sum of prime factors
768

Primality

Prime factorization: 2 × 83 × 683

Nearest primes: 113,371 (−7) · 113,381 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 83 · 166 · 683 · 1366 · 56689 (half) · 113378
Aliquot sum (sum of proper divisors): 58,990
Factor pairs (a × b = 113,378)
1 × 113378
2 × 56689
83 × 1366
166 × 683
First multiples
113,378 · 226,756 (double) · 340,134 · 453,512 · 566,890 · 680,268 · 793,646 · 907,024 · 1,020,402 · 1,133,780

Sums & aliquot sequence

As consecutive integers: 28,343 + 28,344 + 28,345 + 28,346 1,325 + 1,326 + … + 1,407 176 + 177 + … + 507
Aliquot sequence: 113,378 58,990 53,762 26,884 29,564 25,036 22,844 17,140 18,896 17,746 10,334 5,170 5,198 3,010 3,326 1,666 1,412 — unresolved within range

Continued fraction of √n

√113,378 = [336; (1, 2, 1, 1, 8, 1, 1, 1, 7, 1, 6, 1, 2, 6, 1, 4, 2, 3, 1, 1, 2, 1, 1, 1, …)]

Representations

In words
one hundred thirteen thousand three hundred seventy-eight
Ordinal
113378th
Binary
11011101011100010
Octal
335342
Hexadecimal
0x1BAE2
Base64
Abri
One's complement
4,294,853,917 (32-bit)
Scientific notation
1.13378 × 10⁵
As a duration
113,378 s = 1 day, 7 hours, 29 minutes, 38 seconds
In other bases
ternary (3) 12202112012
quaternary (4) 123223202
quinary (5) 12112003
senary (6) 2232522
septenary (7) 651356
nonary (9) 182465
undecimal (11) 78201
duodecimal (12) 55742
tridecimal (13) 3c7b5
tetradecimal (14) 2d466
pentadecimal (15) 238d8

As an angle

113,378° = 314 × 360° + 338°
338° ≈ 5.899 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτοηʹ
Mayan (base 20)
𝋮·𝋣·𝋨·𝋲
Chinese
一十一萬三千三百七十八
Chinese (financial)
壹拾壹萬參仟參佰柒拾捌
In other modern scripts
Eastern Arabic ١١٣٣٧٨ Devanagari ११३३७८ Bengali ১১৩৩৭৮ Tamil ௧௧௩௩௭௮ Thai ๑๑๓๓๗๘ Tibetan ༡༡༣༣༧༨ Khmer ១១៣៣៧៨ Lao ໑໑໓໓໗໘ Burmese ၁၁၃၃၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113378, here are decompositions:

  • 7 + 113371 = 113378
  • 19 + 113359 = 113378
  • 37 + 113341 = 113378
  • 151 + 113227 = 113378
  • 211 + 113167 = 113378
  • 229 + 113149 = 113378
  • 337 + 113041 = 113378
  • 367 + 113011 = 113378

Showing the first eight; more decompositions exist.

Hex color
#01BAE2
RGB(1, 186, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.226.

Address
0.1.186.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.226

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 113,378 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 113378 first appears in π at position 116,796 of the decimal expansion (the 116,796ordinal-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.