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113,837

113,837 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.).

113,837 (one hundred thirteen thousand eight hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BCAD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
738,311
Recamán's sequence
a(56,465) = 113,837
Square (n²)
12,958,862,569
Cube (n³)
1,475,198,038,267,253
Divisor count
2
σ(n) — sum of divisors
113,838
φ(n) — Euler's totient
113,836

Primality

113,837 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113837
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,837)
1 × 113837
First multiples
113,837 · 227,674 (double) · 341,511 · 455,348 · 569,185 · 683,022 · 796,859 · 910,696 · 1,024,533 · 1,138,370

Sums & aliquot sequence

As a sum of two squares: 179² + 286²
As consecutive integers: 56,918 + 56,919

Continued fraction of √n

√113,837 = [337; (2, 1, 1, 14, 1, 2, 1, 3, 1, 4, 2, 1, 3, 4, 3, 1, 7, 2, 1, 2, 1, 2, 2, 5, …)]

Representations

In words
one hundred thirteen thousand eight hundred thirty-seven
Ordinal
113837th
Binary
11011110010101101
Octal
336255
Hexadecimal
0x1BCAD
Base64
Abyt
One's complement
4,294,853,458 (32-bit)
Scientific notation
1.13837 × 10⁵
As a duration
113,837 s = 1 day, 7 hours, 37 minutes, 17 seconds
In other bases
ternary (3) 12210011012
quaternary (4) 123302231
quinary (5) 12120322
senary (6) 2235005
septenary (7) 652613
nonary (9) 183135
undecimal (11) 78589
duodecimal (12) 55a65
tridecimal (13) 3ca79
tetradecimal (14) 2d6b3
pentadecimal (15) 23ae2

As an angle

113,837° = 316 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωλζʹ
Mayan (base 20)
𝋮·𝋤·𝋫·𝋱
Chinese
一十一萬三千八百三十七
Chinese (financial)
壹拾壹萬參仟捌佰參拾柒
In other modern scripts
Eastern Arabic ١١٣٨٣٧ Devanagari ११३८३७ Bengali ১১৩৮৩৭ Tamil ௧௧௩௮௩௭ Thai ๑๑๓๘๓๗ Tibetan ༡༡༣༨༣༧ Khmer ១១៣៨៣៧ Lao ໑໑໓໘໓໗ Burmese ၁၁၃၈၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 113843.

Hex color
#01BCAD
RGB(1, 188, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.173.

Address
0.1.188.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.173

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 113,837 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 113837 first appears in π at position 750,947 of the decimal expansion (the 750,947ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.