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113,809

113,809 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.).

113,809 (one hundred thirteen thousand eight hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BC91.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
908,311
Recamán's sequence
a(56,409) = 113,809
Square (n²)
12,952,488,481
Cube (n³)
1,474,109,761,534,129
Divisor count
2
σ(n) — sum of divisors
113,810
φ(n) — Euler's totient
113,808

Primality

113,809 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113809
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,809)
1 × 113809
First multiples
113,809 · 227,618 (double) · 341,427 · 455,236 · 569,045 · 682,854 · 796,663 · 910,472 · 1,024,281 · 1,138,090

Sums & aliquot sequence

As a sum of two squares: 160² + 297²
As consecutive integers: 56,904 + 56,905

Continued fraction of √n

√113,809 = [337; (2, 1, 4, 3, 1, 6, 1, 134, 14, 20, 2, 1, 2, 26, 1, 1, 1, 1, 2, 4, 1, 3, 3, 1, …)]

Representations

In words
one hundred thirteen thousand eight hundred nine
Ordinal
113809th
Binary
11011110010010001
Octal
336221
Hexadecimal
0x1BC91
Base64
AbyR
One's complement
4,294,853,486 (32-bit)
Scientific notation
1.13809 × 10⁵
As a duration
113,809 s = 1 day, 7 hours, 36 minutes, 49 seconds
In other bases
ternary (3) 12210010011
quaternary (4) 123302101
quinary (5) 12120214
senary (6) 2234521
septenary (7) 652543
nonary (9) 183104
undecimal (11) 78563
duodecimal (12) 55a41
tridecimal (13) 3ca57
tetradecimal (14) 2d693
pentadecimal (15) 23ac4

As an angle

113,809° = 316 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωθʹ
Mayan (base 20)
𝋮·𝋤·𝋪·𝋩
Chinese
一十一萬三千八百零九
Chinese (financial)
壹拾壹萬參仟捌佰零玖
In other modern scripts
Eastern Arabic ١١٣٨٠٩ Devanagari ११३८०९ Bengali ১১৩৮০৯ Tamil ௧௧௩௮௦௯ Thai ๑๑๓๘๐๙ Tibetan ༡༡༣༨༠༩ Khmer ១១៣៨០៩ Lao ໑໑໓໘໐໙ Burmese ၁၁၃၈၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𛲑
Duployan Affix Low Tight Acute
U+1BC91
Other letter (Lo)

UTF-8 encoding: F0 9B B2 91 (4 bytes).

Hex color
#01BC91
RGB(1, 188, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.145.

Address
0.1.188.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.145

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 113,809 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.