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113,800

113,800 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.).

113,800 (one hundred thirteen thousand eight hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 569. Its proper divisors sum to 151,250, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC88.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
8,311
Recamán's sequence
a(56,391) = 113,800
Square (n²)
12,950,440,000
Cube (n³)
1,473,760,072,000,000
Divisor count
24
σ(n) — sum of divisors
265,050
φ(n) — Euler's totient
45,440
Sum of prime factors
585

Primality

Prime factorization: 2 3 × 5 2 × 569

Nearest primes: 113,797 (−3) · 113,809 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 569 · 1138 · 2276 · 2845 · 4552 · 5690 · 11380 · 14225 · 22760 · 28450 · 56900 (half) · 113800
Aliquot sum (sum of proper divisors): 151,250
Factor pairs (a × b = 113,800)
1 × 113800
2 × 56900
4 × 28450
5 × 22760
8 × 14225
10 × 11380
20 × 5690
25 × 4552
40 × 2845
50 × 2276
100 × 1138
200 × 569
First multiples
113,800 · 227,600 (double) · 341,400 · 455,200 · 569,000 · 682,800 · 796,600 · 910,400 · 1,024,200 · 1,138,000

Sums & aliquot sequence

As a sum of two squares: 70² + 330² = 142² + 306² = 222² + 254²
As consecutive integers: 22,758 + 22,759 + 22,760 + 22,761 + 22,762 7,105 + 7,106 + … + 7,120 4,540 + 4,541 + … + 4,564 1,383 + 1,384 + … + 1,462
Aliquot sequence: 113,800 151,250 160,369 18,191 1 0 — terminates at zero

Continued fraction of √n

√113,800 = [337; (2, 1, 11, 2, 1, 1, 1, 1, 1, 13, 6, 1, 2, 16, 9, 2, 3, 1, 3, 2, 1, 26, 3, 2, …)]

Representations

In words
one hundred thirteen thousand eight hundred
Ordinal
113800th
Binary
11011110010001000
Octal
336210
Hexadecimal
0x1BC88
Base64
AbyI
One's complement
4,294,853,495 (32-bit)
Scientific notation
1.138 × 10⁵
As a duration
113,800 s = 1 day, 7 hours, 36 minutes, 40 seconds
In other bases
ternary (3) 12210002211
quaternary (4) 123302020
quinary (5) 12120200
senary (6) 2234504
septenary (7) 652531
nonary (9) 183084
undecimal (11) 78555
duodecimal (12) 55a34
tridecimal (13) 3ca4b
tetradecimal (14) 2d688
pentadecimal (15) 23aba

As an angle

113,800° = 316 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριγωʹ
Mayan (base 20)
𝋮·𝋤·𝋪·𝋠
Chinese
一十一萬三千八百
Chinese (financial)
壹拾壹萬參仟捌佰
In other modern scripts
Eastern Arabic ١١٣٨٠٠ Devanagari ११३८०० Bengali ১১৩৮০০ Tamil ௧௧௩௮௦௦ Thai ๑๑๓๘๐๐ Tibetan ༡༡༣༨༠༠ Khmer ១១៣៨០០ Lao ໑໑໓໘໐໐ Burmese ၁၁၃၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113800, here are decompositions:

  • 3 + 113797 = 113800
  • 17 + 113783 = 113800
  • 23 + 113777 = 113800
  • 41 + 113759 = 113800
  • 83 + 113717 = 113800
  • 179 + 113621 = 113800
  • 233 + 113567 = 113800
  • 263 + 113537 = 113800

Showing the first eight; more decompositions exist.

Unicode codepoint
𛲈
Duployan Affix High Vertical
U+1BC88
Other letter (Lo)

UTF-8 encoding: F0 9B B2 88 (4 bytes).

Hex color
#01BC88
RGB(1, 188, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.136.

Address
0.1.188.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.136

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 113,800 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 113800 first appears in π at position 820,847 of the decimal expansion (the 820,847ordinal-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