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130,729

130,729 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.).

130,729 (one hundred thirty thousand seven hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FEA9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
927,031
Square (n²)
17,090,071,441
Cube (n³)
2,234,167,949,410,489
Divisor count
2
σ(n) — sum of divisors
130,730
φ(n) — Euler's totient
130,728

Primality

130,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,729)
1 × 130729
First multiples
130,729 · 261,458 (double) · 392,187 · 522,916 · 653,645 · 784,374 · 915,103 · 1,045,832 · 1,176,561 · 1,307,290

Sums & aliquot sequence

As a sum of two squares: 123² + 340²
As consecutive integers: 65,364 + 65,365

Continued fraction of √n

√130,729 = [361; (1, 1, 3, 2, 1, 2, 1, 2, 102, 1, 15, 12, 1, 1, 1, 1, 1, 14, 7, 2, 6, 2, 17, 1, …)]

Representations

In words
one hundred thirty thousand seven hundred twenty-nine
Ordinal
130729th
Binary
11111111010101001
Octal
377251
Hexadecimal
0x1FEA9
Base64
Af6p
One's complement
4,294,836,566 (32-bit)
Scientific notation
1.30729 × 10⁵
As a duration
130,729 s = 1 day, 12 hours, 18 minutes, 49 seconds
In other bases
ternary (3) 20122022211
quaternary (4) 133322221
quinary (5) 13140404
senary (6) 2445121
septenary (7) 1053064
nonary (9) 218284
undecimal (11) 8a245
duodecimal (12) 637a1
tridecimal (13) 47671
tetradecimal (14) 358db
pentadecimal (15) 28b04

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλψκθʹ
Mayan (base 20)
𝋰·𝋦·𝋰·𝋩
Chinese
一十三萬零七百二十九
Chinese (financial)
壹拾參萬零柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٠٧٢٩ Devanagari १३०७२९ Bengali ১৩০৭২৯ Tamil ௧௩௦௭௨௯ Thai ๑๓๐๗๒๙ Tibetan ༡༣༠༧༢༩ Khmer ១៣០៧២៩ Lao ໑໓໐໗໒໙ Burmese ၁၃၀၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01FEA9
RGB(1, 254, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.169.

Address
0.1.254.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.169

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 130,729 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 130729 first appears in π at position 720,115 of the decimal expansion (the 720,115ordinal-suffix:th 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.