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130,589

130,589 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.).

130,589 (one hundred thirty thousand five hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FE1D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
985,031
Square (n²)
17,053,486,921
Cube (n³)
2,226,997,803,526,469
Divisor count
2
σ(n) — sum of divisors
130,590
φ(n) — Euler's totient
130,588

Primality

130,589 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130589
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,589)
1 × 130589
First multiples
130,589 · 261,178 (double) · 391,767 · 522,356 · 652,945 · 783,534 · 914,123 · 1,044,712 · 1,175,301 · 1,305,890

Sums & aliquot sequence

As a sum of two squares: 158² + 325²
As consecutive integers: 65,294 + 65,295

Continued fraction of √n

√130,589 = [361; (2, 1, 2, 3, 1, 1, 7, 2, 1, 1, 1, 5, 6, 2, 4, 1, 4, 2, 1, 8, 2, 5, 1, 4, …)]

Representations

In words
one hundred thirty thousand five hundred eighty-nine
Ordinal
130589th
Binary
11111111000011101
Octal
377035
Hexadecimal
0x1FE1D
Base64
Af4d
One's complement
4,294,836,706 (32-bit)
Scientific notation
1.30589 × 10⁵
As a duration
130,589 s = 1 day, 12 hours, 16 minutes, 29 seconds
In other bases
ternary (3) 20122010122
quaternary (4) 133320131
quinary (5) 13134324
senary (6) 2444325
septenary (7) 1052504
nonary (9) 218118
undecimal (11) 8a128
duodecimal (12) 636a5
tridecimal (13) 47594
tetradecimal (14) 3583b
pentadecimal (15) 28a5e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλφπθʹ
Mayan (base 20)
𝋰·𝋦·𝋩·𝋩
Chinese
一十三萬零五百八十九
Chinese (financial)
壹拾參萬零伍佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٠٥٨٩ Devanagari १३०५८९ Bengali ১৩০৫৮৯ Tamil ௧௩௦௫௮௯ Thai ๑๓๐๕๘๙ Tibetan ༡༣༠༥༨༩ Khmer ១៣០៥៨៩ Lao ໑໓໐໕໘໙ Burmese ၁၃၀၅၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01FE1D
RGB(1, 254, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.29.

Address
0.1.254.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.29

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 130,589 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 130589 first appears in π at position 245,462 of the decimal expansion (the 245,462ordinal-suffix:nd 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.