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130,553

130,553 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.).

130,553 (one hundred thirty thousand five hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FDF9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp 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
355,031
Square (n²)
17,044,085,809
Cube (n³)
2,225,156,534,622,377
Divisor count
2
σ(n) — sum of divisors
130,554
φ(n) — Euler's totient
130,552

Primality

130,553 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130553
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,553)
1 × 130553
First multiples
130,553 · 261,106 (double) · 391,659 · 522,212 · 652,765 · 783,318 · 913,871 · 1,044,424 · 1,174,977 · 1,305,530

Sums & aliquot sequence

As a sum of two squares: 232² + 277²
As consecutive integers: 65,276 + 65,277

Continued fraction of √n

√130,553 = [361; (3, 8, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 3, 7, 1, 14, 2, 65, 4, 1, 2, 1, 4, 1, …)]

Representations

In words
one hundred thirty thousand five hundred fifty-three
Ordinal
130553rd
Binary
11111110111111001
Octal
376771
Hexadecimal
0x1FDF9
Base64
Af35
One's complement
4,294,836,742 (32-bit)
Scientific notation
1.30553 × 10⁵
As a duration
130,553 s = 1 day, 12 hours, 15 minutes, 53 seconds
In other bases
ternary (3) 20122002022
quaternary (4) 133313321
quinary (5) 13134203
senary (6) 2444225
septenary (7) 1052423
nonary (9) 218068
undecimal (11) 8a0a5
duodecimal (12) 63675
tridecimal (13) 47567
tetradecimal (14) 35813
pentadecimal (15) 28a38

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλφνγʹ
Mayan (base 20)
𝋰·𝋦·𝋧·𝋭
Chinese
一十三萬零五百五十三
Chinese (financial)
壹拾參萬零伍佰伍拾參
In other modern scripts
Eastern Arabic ١٣٠٥٥٣ Devanagari १३०५५३ Bengali ১৩০৫৫৩ Tamil ௧௩௦௫௫௩ Thai ๑๓๐๕๕๓ Tibetan ༡༣༠༥༥༣ Khmer ១៣០៥៥៣ Lao ໑໓໐໕໕໓ Burmese ၁၃၀၅၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 130547.

Hex color
#01FDF9
RGB(1, 253, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.249.

Address
0.1.253.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.249

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 130,553 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 130553 first appears in π at position 625,140 of the decimal expansion (the 625,140ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.