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113,909

113,909 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.).

113,909 (one hundred thirteen thousand nine hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BCF5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
909,311
Recamán's sequence
a(56,605) = 113,909
Square (n²)
12,975,260,281
Cube (n³)
1,477,998,923,348,429
Divisor count
2
σ(n) — sum of divisors
113,910
φ(n) — Euler's totient
113,908

Primality

113,909 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113909
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,909)
1 × 113909
First multiples
113,909 · 227,818 (double) · 341,727 · 455,636 · 569,545 · 683,454 · 797,363 · 911,272 · 1,025,181 · 1,139,090

Sums & aliquot sequence

As a sum of two squares: 230² + 247²
As consecutive integers: 56,954 + 56,955

Continued fraction of √n

√113,909 = [337; (1, 1, 60, 1, 6, 2, 1, 4, 1, 8, 1, 2, 6, 2, 2, 7, 1, 1, 6, 1, 1, 2, 1, 8, …)]

Representations

In words
one hundred thirteen thousand nine hundred nine
Ordinal
113909th
Binary
11011110011110101
Octal
336365
Hexadecimal
0x1BCF5
Base64
Abz1
One's complement
4,294,853,386 (32-bit)
Scientific notation
1.13909 × 10⁵
As a duration
113,909 s = 1 day, 7 hours, 38 minutes, 29 seconds
In other bases
ternary (3) 12210020212
quaternary (4) 123303311
quinary (5) 12121114
senary (6) 2235205
septenary (7) 653045
nonary (9) 183225
undecimal (11) 78644
duodecimal (12) 55b05
tridecimal (13) 3cb03
tetradecimal (14) 2d725
pentadecimal (15) 23b3e

As an angle

113,909° = 316 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγϡθʹ
Mayan (base 20)
𝋮·𝋤·𝋯·𝋩
Chinese
一十一萬三千九百零九
Chinese (financial)
壹拾壹萬參仟玖佰零玖
In other modern scripts
Eastern Arabic ١١٣٩٠٩ Devanagari ११३९०९ Bengali ১১৩৯০৯ Tamil ௧௧௩௯௦௯ Thai ๑๑๓๙๐๙ Tibetan ༡༡༣༩༠༩ Khmer ១១៣៩០៩ Lao ໑໑໓໙໐໙ Burmese ၁၁၃၉၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 113903.

Hex color
#01BCF5
RGB(1, 188, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.245.

Address
0.1.188.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.245

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 113,909 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.