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113,761

113,761 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.).

113,761 (one hundred thirteen thousand seven hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BC61.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
167,311
Recamán's sequence
a(56,313) = 113,761
Square (n²)
12,941,565,121
Cube (n³)
1,472,245,389,730,081
Divisor count
2
σ(n) — sum of divisors
113,762
φ(n) — Euler's totient
113,760

Primality

113,761 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113761
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,761)
1 × 113761
First multiples
113,761 · 227,522 (double) · 341,283 · 455,044 · 568,805 · 682,566 · 796,327 · 910,088 · 1,023,849 · 1,137,610

Sums & aliquot sequence

As a sum of two squares: 144² + 305²
As consecutive integers: 56,880 + 56,881

Continued fraction of √n

√113,761 = [337; (3, 1, 1, 20, 1, 1, 27, 1, 1, 2, 7, 1, 13, 5, 1, 3, 1, 5, 1, 1, 1, 2, 2, 8, …)]

Representations

In words
one hundred thirteen thousand seven hundred sixty-one
Ordinal
113761st
Binary
11011110001100001
Octal
336141
Hexadecimal
0x1BC61
Base64
Abxh
One's complement
4,294,853,534 (32-bit)
Scientific notation
1.13761 × 10⁵
As a duration
113,761 s = 1 day, 7 hours, 36 minutes, 1 second
In other bases
ternary (3) 12210001101
quaternary (4) 123301201
quinary (5) 12120021
senary (6) 2234401
septenary (7) 652444
nonary (9) 183041
undecimal (11) 7851a
duodecimal (12) 55a01
tridecimal (13) 3ca1b
tetradecimal (14) 2d65b
pentadecimal (15) 23a91

As an angle

113,761° = 316 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγψξαʹ
Mayan (base 20)
𝋮·𝋤·𝋨·𝋡
Chinese
一十一萬三千七百六十一
Chinese (financial)
壹拾壹萬參仟柒佰陸拾壹
In other modern scripts
Eastern Arabic ١١٣٧٦١ Devanagari ११३७६१ Bengali ১১৩৭৬১ Tamil ௧௧௩௭௬௧ Thai ๑๑๓๗๖๑ Tibetan ༡༡༣༧༦༡ Khmer ១១៣៧៦១ Lao ໑໑໓໗໖໑ Burmese ၁၁၃၇၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113759.

Unicode codepoint
𛱡
Duployan Letter Nasal U
U+1BC61
Other letter (Lo)

UTF-8 encoding: F0 9B B1 A1 (4 bytes).

Hex color
#01BC61
RGB(1, 188, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.97.

Address
0.1.188.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.97

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 113,761 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.