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113,083

113,083 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.).

113,083 (one hundred thirteen thousand eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B9BB.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
380,311
Recamán's sequence
a(53,221) = 113,083
Square (n²)
12,787,764,889
Cube (n³)
1,446,078,816,942,787
Divisor count
2
σ(n) — sum of divisors
113,084
φ(n) — Euler's totient
113,082

Primality

113,083 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113083
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,083)
1 × 113083
First multiples
113,083 · 226,166 (double) · 339,249 · 452,332 · 565,415 · 678,498 · 791,581 · 904,664 · 1,017,747 · 1,130,830

Sums & aliquot sequence

As consecutive integers: 56,541 + 56,542

Continued fraction of √n

√113,083 = [336; (3, 1, 1, 2, 7, 1, 2, 2, 223, 1, 3, 6, 2, 2, 4, 4, 1, 73, 1, 11, 2, 7, 2, 1, …)]

Representations

In words
one hundred thirteen thousand eighty-three
Ordinal
113083rd
Binary
11011100110111011
Octal
334673
Hexadecimal
0x1B9BB
Base64
Abm7
One's complement
4,294,854,212 (32-bit)
Scientific notation
1.13083 × 10⁵
As a duration
113,083 s = 1 day, 7 hours, 24 minutes, 43 seconds
In other bases
ternary (3) 12202010021
quaternary (4) 123212323
quinary (5) 12104313
senary (6) 2231311
septenary (7) 650455
nonary (9) 182107
undecimal (11) 77a63
duodecimal (12) 55537
tridecimal (13) 3c619
tetradecimal (14) 2d2d5
pentadecimal (15) 2378d

As an angle

113,083° = 314 × 360° + 43°
43° ≈ 0.75 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγπγʹ
Mayan (base 20)
𝋮·𝋢·𝋮·𝋣
Chinese
一十一萬三千零八十三
Chinese (financial)
壹拾壹萬參仟零捌拾參
In other modern scripts
Eastern Arabic ١١٣٠٨٣ Devanagari ११३०८३ Bengali ১১৩০৮৩ Tamil ௧௧௩௦௮௩ Thai ๑๑๓๐๘๓ Tibetan ༡༡༣༠༨༣ Khmer ១១៣០៨៣ Lao ໑໑໓໐໘໓ Burmese ၁၁၃၀၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113081, sexy with 113089.

Hex color
#01B9BB
RGB(1, 185, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.187.

Address
0.1.185.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.187

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 113,083 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 113083 first appears in π at position 296,333 of the decimal expansion (the 296,333ordinal-suffix:rd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.