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113,891

113,891 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.).

113,891 (one hundred thirteen thousand eight 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, 0x1BCE3.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
216
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
198,311
Recamán's sequence
a(56,569) = 113,891
Square (n²)
12,971,159,881
Cube (n³)
1,477,298,370,006,971
Divisor count
2
σ(n) — sum of divisors
113,892
φ(n) — Euler's totient
113,890

Primality

113,891 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113891
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,891)
1 × 113891
First multiples
113,891 · 227,782 (double) · 341,673 · 455,564 · 569,455 · 683,346 · 797,237 · 911,128 · 1,025,019 · 1,138,910

Sums & aliquot sequence

As consecutive integers: 56,945 + 56,946

Continued fraction of √n

√113,891 = [337; (2, 10, 1, 1, 3, 2, 1, 134, 3, 2, 1, 1, 1, 1, 18, 1, 2, 26, 1, 1, 1, 14, 96, 2, …)]

Representations

In words
one hundred thirteen thousand eight hundred ninety-one
Ordinal
113891st
Binary
11011110011100011
Octal
336343
Hexadecimal
0x1BCE3
Base64
Abzj
One's complement
4,294,853,404 (32-bit)
Scientific notation
1.13891 × 10⁵
As a duration
113,891 s = 1 day, 7 hours, 38 minutes, 11 seconds
In other bases
ternary (3) 12210020012
quaternary (4) 123303203
quinary (5) 12121031
senary (6) 2235135
septenary (7) 653021
nonary (9) 183205
undecimal (11) 78628
duodecimal (12) 55aab
tridecimal (13) 3cabb
tetradecimal (14) 2d711
pentadecimal (15) 23b2b

As an angle

113,891° = 316 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγωϟαʹ
Mayan (base 20)
𝋮·𝋤·𝋮·𝋫
Chinese
一十一萬三千八百九十一
Chinese (financial)
壹拾壹萬參仟捌佰玖拾壹
In other modern scripts
Eastern Arabic ١١٣٨٩١ Devanagari ११३८९१ Bengali ১১৩৮৯১ Tamil ௧௧௩௮௯௧ Thai ๑๑๓๘๙๑ Tibetan ༡༡༣༨༩༡ Khmer ១១៣៨៩១ Lao ໑໑໓໘໙໑ Burmese ၁၁၃၈၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BCE3
RGB(1, 188, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.227.

Address
0.1.188.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.227

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 113,891 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 113891 first appears in π at position 507,420 of the decimal expansion (the 507,420ordinal-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.