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113,359

113,359 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.).

113,359 (one hundred thirteen thousand three hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BACF.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
405
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
953,311
Recamán's sequence
a(55,517) = 113,359
Square (n²)
12,850,262,881
Cube (n³)
1,456,692,949,927,279
Divisor count
2
σ(n) — sum of divisors
113,360
φ(n) — Euler's totient
113,358

Primality

113,359 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113359
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,359)
1 × 113359
First multiples
113,359 · 226,718 (double) · 340,077 · 453,436 · 566,795 · 680,154 · 793,513 · 906,872 · 1,020,231 · 1,133,590

Sums & aliquot sequence

As consecutive integers: 56,679 + 56,680

Continued fraction of √n

√113,359 = [336; (1, 2, 4, 1, 4, 5, 1, 2, 3, 9, 1, 9, 2, 5, 3, 1, 1, 2, 1, 1, 1, 8, 8, 1, …)]

Representations

In words
one hundred thirteen thousand three hundred fifty-nine
Ordinal
113359th
Binary
11011101011001111
Octal
335317
Hexadecimal
0x1BACF
Base64
AbrP
One's complement
4,294,853,936 (32-bit)
Scientific notation
1.13359 × 10⁵
As a duration
113,359 s = 1 day, 7 hours, 29 minutes, 19 seconds
In other bases
ternary (3) 12202111111
quaternary (4) 123223033
quinary (5) 12111414
senary (6) 2232451
septenary (7) 651331
nonary (9) 182444
undecimal (11) 78194
duodecimal (12) 55727
tridecimal (13) 3c79c
tetradecimal (14) 2d451
pentadecimal (15) 238c4

As an angle

113,359° = 314 × 360° + 319°
319° ≈ 5.568 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτνθʹ
Mayan (base 20)
𝋮·𝋣·𝋧·𝋳
Chinese
一十一萬三千三百五十九
Chinese (financial)
壹拾壹萬參仟參佰伍拾玖
In other modern scripts
Eastern Arabic ١١٣٣٥٩ Devanagari ११३३५९ Bengali ১১৩৩৫৯ Tamil ௧௧௩௩௫௯ Thai ๑๑๓๓๕๙ Tibetan ༡༡༣༣༥༩ Khmer ១១៣៣៥៩ Lao ໑໑໓໓໕໙ Burmese ၁၁၃၃၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113357, cousin with 113363.

Hex color
#01BACF
RGB(1, 186, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.207.

Address
0.1.186.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.207

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 113,359 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 113359 first appears in π at position 601,830 of the decimal expansion (the 601,830ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.