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130,817

130,817 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.).

130,817 (one hundred thirty thousand eight hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FF01.

Arithmetic Number Cube-Free Deficient Number Evil Number Lazy Caterer Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
718,031
Square (n²)
17,113,087,489
Cube (n³)
2,238,682,766,048,513
Divisor count
2
σ(n) — sum of divisors
130,818
φ(n) — Euler's totient
130,816

Primality

130,817 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130817
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,817)
1 × 130817
First multiples
130,817 · 261,634 (double) · 392,451 · 523,268 · 654,085 · 784,902 · 915,719 · 1,046,536 · 1,177,353 · 1,308,170

Sums & aliquot sequence

As a sum of two squares: 44² + 359²
As consecutive integers: 65,408 + 65,409

Continued fraction of √n

√130,817 = [361; (1, 2, 5, 3, 6, 1, 5, 1, 1, 2, 8, 3, 9, 13, 1, 1, 5, 1, 1, 3, 1, 1, 1, 3, …)]

Representations

In words
one hundred thirty thousand eight hundred seventeen
Ordinal
130817th
Binary
11111111100000001
Octal
377401
Hexadecimal
0x1FF01
Base64
Af8B
One's complement
4,294,836,478 (32-bit)
Scientific notation
1.30817 × 10⁵
As a duration
130,817 s = 1 day, 12 hours, 20 minutes, 17 seconds
In other bases
ternary (3) 20122110002
quaternary (4) 133330001
quinary (5) 13141232
senary (6) 2445345
septenary (7) 1053251
nonary (9) 218402
undecimal (11) 8a315
duodecimal (12) 63855
tridecimal (13) 4770b
tetradecimal (14) 35961
pentadecimal (15) 28b62

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλωιζʹ
Mayan (base 20)
𝋰·𝋧·𝋠·𝋱
Chinese
一十三萬零八百一十七
Chinese (financial)
壹拾參萬零捌佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٠٨١٧ Devanagari १३०८१७ Bengali ১৩০৮১৭ Tamil ௧௩௦௮௧௭ Thai ๑๓๐๘๑๗ Tibetan ༡༣༠༨༡༧ Khmer ១៣០៨១៧ Lao ໑໓໐໘໑໗ Burmese ၁၃၀၈၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 130811.

Hex color
#01FF01
RGB(1, 255, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.1.

Address
0.1.255.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.1

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 130,817 and was likely granted around 1872.

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

Position in π

The digit sequence 130817 first appears in π at position 903,323 of the decimal expansion (the 903,323ordinal-suffix:rd 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.