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113,327

113,327 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.).

113,327 (one hundred thirteen thousand three hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BAAF.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
723,311
Recamán's sequence
a(245,922) = 113,327
Square (n²)
12,843,008,929
Cube (n³)
1,455,459,672,896,783
Divisor count
2
σ(n) — sum of divisors
113,328
φ(n) — Euler's totient
113,326

Primality

113,327 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113327
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,327)
1 × 113327
First multiples
113,327 · 226,654 (double) · 339,981 · 453,308 · 566,635 · 679,962 · 793,289 · 906,616 · 1,019,943 · 1,133,270

Sums & aliquot sequence

As consecutive integers: 56,663 + 56,664

Continued fraction of √n

√113,327 = [336; (1, 1, 1, 3, 1, 1, 1, 1, 1, 4, 2, 3, 1, 2, 1, 2, 2, 17, 1, 3, 2, 2, 1, 8, …)]

Representations

In words
one hundred thirteen thousand three hundred twenty-seven
Ordinal
113327th
Binary
11011101010101111
Octal
335257
Hexadecimal
0x1BAAF
Base64
Abqv
One's complement
4,294,853,968 (32-bit)
Scientific notation
1.13327 × 10⁵
As a duration
113,327 s = 1 day, 7 hours, 28 minutes, 47 seconds
In other bases
ternary (3) 12202110022
quaternary (4) 123222233
quinary (5) 12111302
senary (6) 2232355
septenary (7) 651254
nonary (9) 182408
undecimal (11) 78165
duodecimal (12) 556bb
tridecimal (13) 3c776
tetradecimal (14) 2d42b
pentadecimal (15) 238a2

As an angle

113,327° = 314 × 360° + 287°
287° ≈ 5.009 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτκζʹ
Mayan (base 20)
𝋮·𝋣·𝋦·𝋧
Chinese
一十一萬三千三百二十七
Chinese (financial)
壹拾壹萬參仟參佰貳拾柒
In other modern scripts
Eastern Arabic ١١٣٣٢٧ Devanagari ११३३२७ Bengali ১১৩৩২৭ Tamil ௧௧௩௩௨௭ Thai ๑๑๓๓๒๗ Tibetan ༡༡༣༣༢༧ Khmer ១១៣៣២៧ Lao ໑໑໓໓໒໗ Burmese ၁၁၃၃၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113329.

Hex color
#01BAAF
RGB(1, 186, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.175.

Address
0.1.186.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.175

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 113,327 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 113327 first appears in π at position 145,438 of the decimal expansion (the 145,438ordinal-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.