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130,337

130,337 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.).

130,337 (one hundred thirty thousand three hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FD21.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
733,031
Square (n²)
16,987,733,569
Cube (n³)
2,214,130,230,182,753
Divisor count
2
σ(n) — sum of divisors
130,338
φ(n) — Euler's totient
130,336

Primality

130,337 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130337
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,337)
1 × 130337
First multiples
130,337 · 260,674 (double) · 391,011 · 521,348 · 651,685 · 782,022 · 912,359 · 1,042,696 · 1,173,033 · 1,303,370

Sums & aliquot sequence

As a sum of two squares: 4² + 361²
As consecutive integers: 65,168 + 65,169

Continued fraction of √n

√130,337 = [361; (45, 7, 1, 10, 2, 2, 5, 1, 1, 1, 41, 1, 4, 1, 2, 2, 3, 3, 6, 6, 1, 102, 3, 2, …)]

Representations

In words
one hundred thirty thousand three hundred thirty-seven
Ordinal
130337th
Binary
11111110100100001
Octal
376441
Hexadecimal
0x1FD21
Base64
Af0h
One's complement
4,294,836,958 (32-bit)
Scientific notation
1.30337 × 10⁵
As a duration
130,337 s = 1 day, 12 hours, 12 minutes, 17 seconds
In other bases
ternary (3) 20121210022
quaternary (4) 133310201
quinary (5) 13132322
senary (6) 2443225
septenary (7) 1051664
nonary (9) 217708
undecimal (11) 89a19
duodecimal (12) 63515
tridecimal (13) 4742c
tetradecimal (14) 356db
pentadecimal (15) 28942

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλτλζʹ
Mayan (base 20)
𝋰·𝋥·𝋰·𝋱
Chinese
一十三萬零三百三十七
Chinese (financial)
壹拾參萬零參佰參拾柒
In other modern scripts
Eastern Arabic ١٣٠٣٣٧ Devanagari १३०३३७ Bengali ১৩০৩৩৭ Tamil ௧௩௦௩௩௭ Thai ๑๓๐๓๓๗ Tibetan ༡༣༠༣༣༧ Khmer ១៣០៣៣៧ Lao ໑໓໐໓໓໗ Burmese ၁၃၀၃၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 130343.

Hex color
#01FD21
RGB(1, 253, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.33.

Address
0.1.253.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.33

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 130,337 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 130337 first appears in π at position 882,603 of the decimal expansion (the 882,603ordinal-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.