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113,232

113,232 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.).

113,232 (one hundred thirteen thousand two hundred thirty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 337. Its proper divisors sum to 222,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA50.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
36
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
232,311
Recamán's sequence
a(246,112) = 113,232
Square (n²)
12,821,485,824
Cube (n³)
1,451,802,482,823,168
Divisor count
40
σ(n) — sum of divisors
335,296
φ(n) — Euler's totient
32,256
Sum of prime factors
355

Primality

Prime factorization: 2 4 × 3 × 7 × 337

Nearest primes: 113,227 (−5) · 113,233 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 337 · 674 · 1011 · 1348 · 2022 · 2359 · 2696 · 4044 · 4718 · 5392 · 7077 · 8088 · 9436 · 14154 · 16176 · 18872 · 28308 · 37744 · 56616 (half) · 113232
Aliquot sum (sum of proper divisors): 222,064
Factor pairs (a × b = 113,232)
1 × 113232
2 × 56616
3 × 37744
4 × 28308
6 × 18872
7 × 16176
8 × 14154
12 × 9436
14 × 8088
16 × 7077
21 × 5392
24 × 4718
28 × 4044
42 × 2696
48 × 2359
56 × 2022
84 × 1348
112 × 1011
168 × 674
336 × 337
First multiples
113,232 · 226,464 (double) · 339,696 · 452,928 · 566,160 · 679,392 · 792,624 · 905,856 · 1,019,088 · 1,132,320

Sums & aliquot sequence

As consecutive integers: 37,743 + 37,744 + 37,745 16,173 + 16,174 + … + 16,179 5,382 + 5,383 + … + 5,402 3,523 + 3,524 + … + 3,554
Aliquot sequence: 113,232 222,064 208,216 205,424 204,520 255,740 310,420 451,628 373,252 382,748 294,292 260,108 195,088 189,932 146,404 125,000 167,965 — unresolved within range

Continued fraction of √n

√113,232 = [336; (2, 672)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand two hundred thirty-two
Ordinal
113232nd
Binary
11011101001010000
Octal
335120
Hexadecimal
0x1BA50
Base64
AbpQ
One's complement
4,294,854,063 (32-bit)
Scientific notation
1.13232 × 10⁵
As a duration
113,232 s = 1 day, 7 hours, 27 minutes, 12 seconds
In other bases
ternary (3) 12202022210
quaternary (4) 123221100
quinary (5) 12110412
senary (6) 2232120
septenary (7) 651060
nonary (9) 182283
undecimal (11) 78089
duodecimal (12) 55640
tridecimal (13) 3c702
tetradecimal (14) 2d3a0
pentadecimal (15) 2383c

As an angle

113,232° = 314 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγσλβʹ
Mayan (base 20)
𝋮·𝋣·𝋡·𝋬
Chinese
一十一萬三千二百三十二
Chinese (financial)
壹拾壹萬參仟貳佰參拾貳
In other modern scripts
Eastern Arabic ١١٣٢٣٢ Devanagari ११३२३२ Bengali ১১৩২৩২ Tamil ௧௧௩௨௩௨ Thai ๑๑๓๒๓๒ Tibetan ༡༡༣༢༣༢ Khmer ១១៣២៣២ Lao ໑໑໓໒໓໒ Burmese ၁၁၃၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113232, here are decompositions:

  • 5 + 113227 = 113232
  • 19 + 113213 = 113232
  • 23 + 113209 = 113232
  • 43 + 113189 = 113232
  • 59 + 113173 = 113232
  • 61 + 113171 = 113232
  • 71 + 113161 = 113232
  • 73 + 113159 = 113232

Showing the first eight; more decompositions exist.

Hex color
#01BA50
RGB(1, 186, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.80.

Address
0.1.186.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.80

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 113,232 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 113232 first appears in π at position 958,513 of the decimal expansion (the 958,513ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.