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113,017

113,017 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.).

113,017 (one hundred thirteen thousand seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B979.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
710,311
Square (n²)
12,772,842,289
Cube (n³)
1,443,548,316,975,913
Divisor count
2
σ(n) — sum of divisors
113,018
φ(n) — Euler's totient
113,016

Primality

113,017 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113017
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,017)
1 × 113017
First multiples
113,017 · 226,034 (double) · 339,051 · 452,068 · 565,085 · 678,102 · 791,119 · 904,136 · 1,017,153 · 1,130,170

Sums & aliquot sequence

As a sum of two squares: 11² + 336²
As consecutive integers: 56,508 + 56,509

Continued fraction of √n

√113,017 = [336; (5, 1, 1, 4, 35, 5, 1, 38, 1, 2, 1, 1, 8, 1, 3, 3, 1, 1, 3, 2, 3, 2, 1, 1, …)]

Representations

In words
one hundred thirteen thousand seventeen
Ordinal
113017th
Binary
11011100101111001
Octal
334571
Hexadecimal
0x1B979
Base64
Abl5
One's complement
4,294,854,278 (32-bit)
Scientific notation
1.13017 × 10⁵
As a duration
113,017 s = 1 day, 7 hours, 23 minutes, 37 seconds
In other bases
ternary (3) 12202000211
quaternary (4) 123211321
quinary (5) 12104032
senary (6) 2231121
septenary (7) 650332
nonary (9) 182024
undecimal (11) 77a03
duodecimal (12) 554a1
tridecimal (13) 3c598
tetradecimal (14) 2d289
pentadecimal (15) 23747

As an angle

113,017° = 313 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγιζʹ
Mayan (base 20)
𝋮·𝋢·𝋪·𝋱
Chinese
一十一萬三千零一十七
Chinese (financial)
壹拾壹萬參仟零壹拾柒
In other modern scripts
Eastern Arabic ١١٣٠١٧ Devanagari ११३०१७ Bengali ১১৩০১৭ Tamil ௧௧௩௦௧௭ Thai ๑๑๓๐๑๗ Tibetan ༡༡༣༠༡༧ Khmer ១១៣០១៧ Lao ໑໑໓໐໑໗ Burmese ၁၁၃၀၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113021, sexy with 113011.

Hex color
#01B979
RGB(1, 185, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.121.

Address
0.1.185.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.121

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 113,017 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.