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113,932

113,932 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.).

113,932 (one hundred thirteen thousand nine hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 13 × 313. Its proper divisors sum to 132,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD0C.

Abundant Number Cube-Free Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
162
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
239,311
Recamán's sequence
a(56,651) = 113,932
Square (n²)
12,980,500,624
Cube (n³)
1,478,894,397,093,568
Divisor count
24
σ(n) — sum of divisors
246,176
φ(n) — Euler's totient
44,928
Sum of prime factors
337

Primality

Prime factorization: 2 2 × 7 × 13 × 313

Nearest primes: 113,921 (−11) · 113,933 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 · 313 · 364 · 626 · 1252 · 2191 · 4069 · 4382 · 8138 · 8764 · 16276 · 28483 · 56966 (half) · 113932
Aliquot sum (sum of proper divisors): 132,244
Factor pairs (a × b = 113,932)
1 × 113932
2 × 56966
4 × 28483
7 × 16276
13 × 8764
14 × 8138
26 × 4382
28 × 4069
52 × 2191
91 × 1252
182 × 626
313 × 364
First multiples
113,932 · 227,864 (double) · 341,796 · 455,728 · 569,660 · 683,592 · 797,524 · 911,456 · 1,025,388 · 1,139,320

Sums & aliquot sequence

As consecutive integers: 16,273 + 16,274 + … + 16,279 14,238 + 14,239 + … + 14,245 8,758 + 8,759 + … + 8,770 2,007 + 2,008 + … + 2,062
Aliquot sequence: 113,932 132,244 132,300 362,460 798,756 1,397,340 3,451,140 10,096,380 25,815,300 64,178,940 146,259,204 277,025,532 474,243,588 1,001,191,100 1,689,261,700 2,500,109,052 4,166,848,644 — unresolved within range

Continued fraction of √n

√113,932 = [337; (1, 1, 6, 18, 1, 1, 2, 22, 1, 7, 2, 1, 1, 1, 7, 7, 1, 1, 5, 1, 2, 1, 1, 5, …)]

Representations

In words
one hundred thirteen thousand nine hundred thirty-two
Ordinal
113932nd
Binary
11011110100001100
Octal
336414
Hexadecimal
0x1BD0C
Base64
Ab0M
One's complement
4,294,853,363 (32-bit)
Scientific notation
1.13932 × 10⁵
As a duration
113,932 s = 1 day, 7 hours, 38 minutes, 52 seconds
In other bases
ternary (3) 12210021201
quaternary (4) 123310030
quinary (5) 12121212
senary (6) 2235244
septenary (7) 653110
nonary (9) 183251
undecimal (11) 78665
duodecimal (12) 55b24
tridecimal (13) 3cb20
tetradecimal (14) 2d740
pentadecimal (15) 23b57

As an angle

113,932° = 316 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγϡλβʹ
Mayan (base 20)
𝋮·𝋤·𝋰·𝋬
Chinese
一十一萬三千九百三十二
Chinese (financial)
壹拾壹萬參仟玖佰參拾貳
In other modern scripts
Eastern Arabic ١١٣٩٣٢ Devanagari ११३९३२ Bengali ১১৩৯৩২ Tamil ௧௧௩௯௩௨ Thai ๑๑๓๙๓๒ Tibetan ༡༡༣༩༣༢ Khmer ១១៣៩៣២ Lao ໑໑໓໙໓໒ Burmese ၁၁၃၉၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113932, here are decompositions:

  • 11 + 113921 = 113932
  • 23 + 113909 = 113932
  • 29 + 113903 = 113932
  • 41 + 113891 = 113932
  • 89 + 113843 = 113932
  • 113 + 113819 = 113932
  • 149 + 113783 = 113932
  • 173 + 113759 = 113932

Showing the first eight; more decompositions exist.

Hex color
#01BD0C
RGB(1, 189, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.12.

Address
0.1.189.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.12

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 113,932 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 113932 first appears in π at position 670,545 of the decimal expansion (the 670,545ordinal-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