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113,918

113,918 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.).

113,918 (one hundred thirteen thousand nine hundred eighteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 79 × 103. Written other ways, in hexadecimal, 0x1BCFE.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
216
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
819,311
Recamán's sequence
a(56,623) = 113,918
Square (n²)
12,977,310,724
Cube (n³)
1,478,349,283,056,632
Divisor count
16
σ(n) — sum of divisors
199,680
φ(n) — Euler's totient
47,736
Sum of prime factors
191

Primality

Prime factorization: 2 × 7 × 79 × 103

Nearest primes: 113,909 (−9) · 113,921 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 79 · 103 · 158 · 206 · 553 · 721 · 1106 · 1442 · 8137 · 16274 · 56959 (half) · 113918
Aliquot sum (sum of proper divisors): 85,762
Factor pairs (a × b = 113,918)
1 × 113918
2 × 56959
7 × 16274
14 × 8137
79 × 1442
103 × 1106
158 × 721
206 × 553
First multiples
113,918 · 227,836 (double) · 341,754 · 455,672 · 569,590 · 683,508 · 797,426 · 911,344 · 1,025,262 · 1,139,180

Sums & aliquot sequence

As consecutive integers: 28,478 + 28,479 + 28,480 + 28,481 16,271 + 16,272 + … + 16,277 4,055 + 4,056 + … + 4,082 1,403 + 1,404 + … + 1,481
Aliquot sequence: 113,918 85,762 44,234 26,074 13,040 17,464 16,736 16,276 14,496 23,808 41,600 69,070 55,274 30,586 16,538 8,272 9,584 — unresolved within range

Continued fraction of √n

√113,918 = [337; (1, 1, 13, 1, 6, 3, 1, 336, 1, 3, 6, 1, 13, 1, 1, 674)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand nine hundred eighteen
Ordinal
113918th
Binary
11011110011111110
Octal
336376
Hexadecimal
0x1BCFE
Base64
Abz+
One's complement
4,294,853,377 (32-bit)
Scientific notation
1.13918 × 10⁵
As a duration
113,918 s = 1 day, 7 hours, 38 minutes, 38 seconds
In other bases
ternary (3) 12210021012
quaternary (4) 123303332
quinary (5) 12121133
senary (6) 2235222
septenary (7) 653060
nonary (9) 183235
undecimal (11) 78652
duodecimal (12) 55b12
tridecimal (13) 3cb0c
tetradecimal (14) 2d730
pentadecimal (15) 23b48

As an angle

113,918° = 316 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγϡιηʹ
Mayan (base 20)
𝋮·𝋤·𝋯·𝋲
Chinese
一十一萬三千九百一十八
Chinese (financial)
壹拾壹萬參仟玖佰壹拾捌
In other modern scripts
Eastern Arabic ١١٣٩١٨ Devanagari ११३९१८ Bengali ১১৩৯১৮ Tamil ௧௧௩௯௧௮ Thai ๑๑๓๙๑๘ Tibetan ༡༡༣༩༡༨ Khmer ១១៣៩១៨ Lao ໑໑໓໙໑໘ Burmese ၁၁၃၉၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113918, here are decompositions:

  • 19 + 113899 = 113918
  • 109 + 113809 = 113918
  • 139 + 113779 = 113918
  • 157 + 113761 = 113918
  • 199 + 113719 = 113918
  • 271 + 113647 = 113918
  • 379 + 113539 = 113918
  • 421 + 113497 = 113918

Showing the first eight; more decompositions exist.

Hex color
#01BCFE
RGB(1, 188, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.254.

Address
0.1.188.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.254

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 113,918 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 113918 first appears in π at position 365,786 of the decimal expansion (the 365,786ordinal-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.