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113,731

113,731 is a prime, odd.

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.).

113,731 (one hundred thirteen thousand seven hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BC43.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
137,311
Recamán's sequence
a(56,253) = 113,731
Square (n²)
12,934,740,361
Cube (n³)
1,471,080,955,996,891
Divisor count
2
σ(n) — sum of divisors
113,732
φ(n) — Euler's totient
113,730

Primality

113,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,731)
1 × 113731
First multiples
113,731 · 227,462 (double) · 341,193 · 454,924 · 568,655 · 682,386 · 796,117 · 909,848 · 1,023,579 · 1,137,310

Sums & aliquot sequence

As consecutive integers: 56,865 + 56,866

Continued fraction of √n

√113,731 = [337; (4, 6, 5, 1, 3, 9, 2, 1, 2, 112, 24, 1, 34, 1, 1, 5, 1, 10, 1, 74, 37, 2, 5, 2, …)]

Representations

In words
one hundred thirteen thousand seven hundred thirty-one
Ordinal
113731st
Binary
11011110001000011
Octal
336103
Hexadecimal
0x1BC43
Base64
AbxD
One's complement
4,294,853,564 (32-bit)
Scientific notation
1.13731 × 10⁵
As a duration
113,731 s = 1 day, 7 hours, 35 minutes, 31 seconds
In other bases
ternary (3) 12210000021
quaternary (4) 123301003
quinary (5) 12114411
senary (6) 2234311
septenary (7) 652402
nonary (9) 183007
undecimal (11) 784a2
duodecimal (12) 55997
tridecimal (13) 3c9c7
tetradecimal (14) 2d639
pentadecimal (15) 23a71

As an angle

113,731° = 315 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγψλαʹ
Mayan (base 20)
𝋮·𝋤·𝋦·𝋫
Chinese
一十一萬三千七百三十一
Chinese (financial)
壹拾壹萬參仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١١٣٧٣١ Devanagari ११३७३१ Bengali ১১৩৭৩১ Tamil ௧௧௩௭௩௧ Thai ๑๑๓๗๓๑ Tibetan ༡༡༣༧༣༡ Khmer ១១៣៧៣១ Lao ໑໑໓໗໓໑ Burmese ၁၁၃၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𛱃
Duployan Letter Oa
U+1BC43
Other letter (Lo)

UTF-8 encoding: F0 9B B1 83 (4 bytes).

Hex color
#01BC43
RGB(1, 188, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.67.

Address
0.1.188.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.67

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 113,731 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.