number.wiki
Live analysis

130,477

130,477 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.).

130,477 (one hundred thirty thousand four hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FDAD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy 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
774,031
Square (n²)
17,024,247,529
Cube (n³)
2,221,272,744,841,333
Divisor count
2
σ(n) — sum of divisors
130,478
φ(n) — Euler's totient
130,476

Primality

130,477 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130477
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,477)
1 × 130477
First multiples
130,477 · 260,954 (double) · 391,431 · 521,908 · 652,385 · 782,862 · 913,339 · 1,043,816 · 1,174,293 · 1,304,770

Sums & aliquot sequence

As a sum of two squares: 214² + 291²
As consecutive integers: 65,238 + 65,239

Continued fraction of √n

√130,477 = [361; (4, 1, 1, 1, 2, 3, 34, 9, 2, 10, 6, 1, 1, 1, 9, 1, 37, 8, 1, 1, 2, 1, 7, 4, …)]

Representations

In words
one hundred thirty thousand four hundred seventy-seven
Ordinal
130477th
Binary
11111110110101101
Octal
376655
Hexadecimal
0x1FDAD
Base64
Af2t
One's complement
4,294,836,818 (32-bit)
Scientific notation
1.30477 × 10⁵
As a duration
130,477 s = 1 day, 12 hours, 14 minutes, 37 seconds
In other bases
ternary (3) 20121222111
quaternary (4) 133312231
quinary (5) 13133402
senary (6) 2444021
septenary (7) 1052254
nonary (9) 217874
undecimal (11) 8a036
duodecimal (12) 63611
tridecimal (13) 47509
tetradecimal (14) 3579b
pentadecimal (15) 289d7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλυοζʹ
Mayan (base 20)
𝋰·𝋦·𝋣·𝋱
Chinese
一十三萬零四百七十七
Chinese (financial)
壹拾參萬零肆佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٠٤٧٧ Devanagari १३०४७७ Bengali ১৩০৪৭৭ Tamil ௧௩௦௪௭௭ Thai ๑๓๐๔๗๗ Tibetan ༡༣༠༤༧༧ Khmer ១៣០៤៧៧ Lao ໑໓໐໔໗໗ Burmese ၁၃၀၄၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 130483.

Hex color
#01FDAD
RGB(1, 253, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.173.

Address
0.1.253.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.173

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 130,477 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 130477 first appears in π at position 20,552 of the decimal expansion (the 20,552ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.