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113,363

113,363 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.).

113,363 (one hundred thirteen thousand three hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BAD3.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
162
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
363,311
Recamán's sequence
a(68,105) = 113,363
Square (n²)
12,851,169,769
Cube (n³)
1,456,847,158,523,147
Divisor count
2
σ(n) — sum of divisors
113,364
φ(n) — Euler's totient
113,362

Primality

113,363 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113363
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,363)
1 × 113363
First multiples
113,363 · 226,726 (double) · 340,089 · 453,452 · 566,815 · 680,178 · 793,541 · 906,904 · 1,020,267 · 1,133,630

Sums & aliquot sequence

As consecutive integers: 56,681 + 56,682

Continued fraction of √n

√113,363 = [336; (1, 2, 3, 1, 2, 3, 7, 1, 4, 2, 2, 1, 2, 1, 4, 2, 2, 3, 1, 1, 1, 5, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand three hundred sixty-three
Ordinal
113363rd
Binary
11011101011010011
Octal
335323
Hexadecimal
0x1BAD3
Base64
AbrT
One's complement
4,294,853,932 (32-bit)
Scientific notation
1.13363 × 10⁵
As a duration
113,363 s = 1 day, 7 hours, 29 minutes, 23 seconds
In other bases
ternary (3) 12202111122
quaternary (4) 123223103
quinary (5) 12111423
senary (6) 2232455
septenary (7) 651335
nonary (9) 182448
undecimal (11) 78198
duodecimal (12) 5572b
tridecimal (13) 3c7a3
tetradecimal (14) 2d455
pentadecimal (15) 238c8

As an angle

113,363° = 314 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγτξγʹ
Mayan (base 20)
𝋮·𝋣·𝋨·𝋣
Chinese
一十一萬三千三百六十三
Chinese (financial)
壹拾壹萬參仟參佰陸拾參
In other modern scripts
Eastern Arabic ١١٣٣٦٣ Devanagari ११३३६३ Bengali ১১৩৩৬৩ Tamil ௧௧௩௩௬௩ Thai ๑๑๓๓๖๓ Tibetan ༡༡༣༣༦༣ Khmer ១១៣៣៦៣ Lao ໑໑໓໓໖໓ Burmese ၁၁၃၃၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113359.

Hex color
#01BAD3
RGB(1, 186, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.211.

Address
0.1.186.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.211

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 113,363 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 113363 first appears in π at position 73,679 of the decimal expansion (the 73,679ordinal-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.