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113,591

113,591 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.).

113,591 (one hundred thirteen thousand five hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BBB7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
135
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
195,311
Recamán's sequence
a(55,089) = 113,591
Square (n²)
12,902,915,281
Cube (n³)
1,465,655,049,684,071
Divisor count
2
σ(n) — sum of divisors
113,592
φ(n) — Euler's totient
113,590

Primality

113,591 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113591
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,591)
1 × 113591
First multiples
113,591 · 227,182 (double) · 340,773 · 454,364 · 567,955 · 681,546 · 795,137 · 908,728 · 1,022,319 · 1,135,910

Sums & aliquot sequence

As consecutive integers: 56,795 + 56,796

Continued fraction of √n

√113,591 = [337; (30, 1, 1, 1, 3, 5, 3, 2, 1, 3, 1, 4, 1, 2, 1, 4, 2, 4, 6, 13, 3, 8, 2, 3, …)]

Representations

In words
one hundred thirteen thousand five hundred ninety-one
Ordinal
113591st
Binary
11011101110110111
Octal
335667
Hexadecimal
0x1BBB7
Base64
Abu3
One's complement
4,294,853,704 (32-bit)
Scientific notation
1.13591 × 10⁵
As a duration
113,591 s = 1 day, 7 hours, 33 minutes, 11 seconds
In other bases
ternary (3) 12202211002
quaternary (4) 123232313
quinary (5) 12113331
senary (6) 2233515
septenary (7) 652112
nonary (9) 182732
undecimal (11) 78385
duodecimal (12) 5589b
tridecimal (13) 3c91a
tetradecimal (14) 2d579
pentadecimal (15) 239cb

As an angle

113,591° = 315 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγφϟαʹ
Mayan (base 20)
𝋮·𝋣·𝋳·𝋫
Chinese
一十一萬三千五百九十一
Chinese (financial)
壹拾壹萬參仟伍佰玖拾壹
In other modern scripts
Eastern Arabic ١١٣٥٩١ Devanagari ११३५९१ Bengali ১১৩৫৯১ Tamil ௧௧௩௫௯௧ Thai ๑๑๓๕๙๑ Tibetan ༡༡༣༥༩༡ Khmer ១១៣៥៩១ Lao ໑໑໓໕໙໑ Burmese ၁၁၃၅၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BBB7
RGB(1, 187, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.183.

Address
0.1.187.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.183

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 113,591 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.