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113,032

113,032 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.).

113,032 (one hundred thirteen thousand thirty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 71 × 199. Written other ways, in hexadecimal, 0x1B988.

Arithmetic Number Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
230,311
Square (n²)
12,776,233,024
Cube (n³)
1,444,123,171,168,768
Divisor count
16
σ(n) — sum of divisors
216,000
φ(n) — Euler's totient
55,440
Sum of prime factors
276

Primality

Prime factorization: 2 3 × 71 × 199

Nearest primes: 113,027 (−5) · 113,039 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 71 · 142 · 199 · 284 · 398 · 568 · 796 · 1592 · 14129 · 28258 · 56516 (half) · 113032
Aliquot sum (sum of proper divisors): 102,968
Factor pairs (a × b = 113,032)
1 × 113032
2 × 56516
4 × 28258
8 × 14129
71 × 1592
142 × 796
199 × 568
284 × 398
First multiples
113,032 · 226,064 (double) · 339,096 · 452,128 · 565,160 · 678,192 · 791,224 · 904,256 · 1,017,288 · 1,130,320

Sums & aliquot sequence

As consecutive integers: 7,057 + 7,058 + … + 7,072 1,557 + 1,558 + … + 1,627 469 + 470 + … + 667
Aliquot sequence: 113,032 102,968 94,192 121,816 106,604 86,596 64,954 34,694 25,786 12,896 15,328 14,912 14,806 9,458 4,732 5,516 5,572 — unresolved within range

Continued fraction of √n

√113,032 = [336; (4, 1, 16, 2, 3, 1, 2, 1, 8, 1, 2, 1, 3, 2, 16, 1, 4, 672)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand thirty-two
Ordinal
113032nd
Binary
11011100110001000
Octal
334610
Hexadecimal
0x1B988
Base64
AbmI
One's complement
4,294,854,263 (32-bit)
Scientific notation
1.13032 × 10⁵
As a duration
113,032 s = 1 day, 7 hours, 23 minutes, 52 seconds
In other bases
ternary (3) 12202001101
quaternary (4) 123212020
quinary (5) 12104112
senary (6) 2231144
septenary (7) 650353
nonary (9) 182041
undecimal (11) 77a17
duodecimal (12) 554b4
tridecimal (13) 3c5aa
tetradecimal (14) 2d29a
pentadecimal (15) 23757

As an angle

113,032° = 313 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγλβʹ
Mayan (base 20)
𝋮·𝋢·𝋫·𝋬
Chinese
一十一萬三千零三十二
Chinese (financial)
壹拾壹萬參仟零參拾貳
In other modern scripts
Eastern Arabic ١١٣٠٣٢ Devanagari ११३०३२ Bengali ১১৩০৩২ Tamil ௧௧௩௦௩௨ Thai ๑๑๓๐๓๒ Tibetan ༡༡༣༠༣༢ Khmer ១១៣០៣២ Lao ໑໑໓໐໓໒ Burmese ၁၁၃၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113032, here are decompositions:

  • 5 + 113027 = 113032
  • 11 + 113021 = 113032
  • 53 + 112979 = 113032
  • 113 + 112919 = 113032
  • 131 + 112901 = 113032
  • 173 + 112859 = 113032
  • 233 + 112799 = 113032
  • 389 + 112643 = 113032

Showing the first eight; more decompositions exist.

Hex color
#01B988
RGB(1, 185, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.136.

Address
0.1.185.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.136

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 113,032 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 113032 first appears in π at position 81,446 of the decimal expansion (the 81,446ordinal-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