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113,324

113,324 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.).

113,324 (one hundred thirteen thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 41 × 691. Written other ways, in hexadecimal, 0x1BAAC.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
423,311
Recamán's sequence
a(245,928) = 113,324
Square (n²)
12,842,328,976
Cube (n³)
1,455,344,088,876,224
Divisor count
12
σ(n) — sum of divisors
203,448
φ(n) — Euler's totient
55,200
Sum of prime factors
736

Primality

Prime factorization: 2 2 × 41 × 691

Nearest primes: 113,287 (−37) · 113,327 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 41 · 82 · 164 · 691 · 1382 · 2764 · 28331 · 56662 (half) · 113324
Aliquot sum (sum of proper divisors): 90,124
Factor pairs (a × b = 113,324)
1 × 113324
2 × 56662
4 × 28331
41 × 2764
82 × 1382
164 × 691
First multiples
113,324 · 226,648 (double) · 339,972 · 453,296 · 566,620 · 679,944 · 793,268 · 906,592 · 1,019,916 · 1,133,240

Sums & aliquot sequence

As consecutive integers: 14,162 + 14,163 + … + 14,169 2,744 + 2,745 + … + 2,784 182 + 183 + … + 509
Aliquot sequence: 113,324 90,124 67,600 108,263 1 0 — terminates at zero

Continued fraction of √n

√113,324 = [336; (1, 1, 1, 2, 1, 133, 1, 12, 1, 2, 1, 26, 5, 2, 1, 1, 4, 1, 1, 4, 1, 5, 7, 4, …)]

Representations

In words
one hundred thirteen thousand three hundred twenty-four
Ordinal
113324th
Binary
11011101010101100
Octal
335254
Hexadecimal
0x1BAAC
Base64
Abqs
One's complement
4,294,853,971 (32-bit)
Scientific notation
1.13324 × 10⁵
As a duration
113,324 s = 1 day, 7 hours, 28 minutes, 44 seconds
In other bases
ternary (3) 12202110012
quaternary (4) 123222230
quinary (5) 12111244
senary (6) 2232352
septenary (7) 651251
nonary (9) 182405
undecimal (11) 78162
duodecimal (12) 556b8
tridecimal (13) 3c773
tetradecimal (14) 2d428
pentadecimal (15) 2389e

As an angle

113,324° = 314 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτκδʹ
Mayan (base 20)
𝋮·𝋣·𝋦·𝋤
Chinese
一十一萬三千三百二十四
Chinese (financial)
壹拾壹萬參仟參佰貳拾肆
In other modern scripts
Eastern Arabic ١١٣٣٢٤ Devanagari ११३३२४ Bengali ১১৩৩২৪ Tamil ௧௧௩௩௨௪ Thai ๑๑๓๓๒๔ Tibetan ༡༡༣༣༢༤ Khmer ១១៣៣២៤ Lao ໑໑໓໓໒໔ Burmese ၁၁၃၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113324, here are decompositions:

  • 37 + 113287 = 113324
  • 97 + 113227 = 113324
  • 151 + 113173 = 113324
  • 157 + 113167 = 113324
  • 163 + 113161 = 113324
  • 181 + 113143 = 113324
  • 193 + 113131 = 113324
  • 241 + 113083 = 113324

Showing the first eight; more decompositions exist.

Hex color
#01BAAC
RGB(1, 186, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.172.

Address
0.1.186.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.172

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 113,324 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 113324 first appears in π at position 673,536 of the decimal expansion (the 673,536ordinal-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.