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477,313

477,313 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.).

477,313 (four hundred seventy-seven thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74881.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,764
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
313,774
Square (n²)
227,827,699,969
Cube (n³)
108,745,122,955,303,297
Divisor count
2
σ(n) — sum of divisors
477,314
φ(n) — Euler's totient
477,312

Primality

477,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 477313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 477,313)
1 × 477313
First multiples
477,313 · 954,626 (double) · 1,431,939 · 1,909,252 · 2,386,565 · 2,863,878 · 3,341,191 · 3,818,504 · 4,295,817 · 4,773,130

Sums & aliquot sequence

As a sum of two squares: 63² + 688²
As consecutive integers: 238,656 + 238,657

Continued fraction of √n

√477,313 = [690; (1, 7, 4, 2, 3, 2, 1, 3, 2, 2, 2, 18, 1, 3, 2, 6, 1, 6, 1, 1, 10, 5, 1, 1, …)]

Representations

In words
four hundred seventy-seven thousand three hundred thirteen
Ordinal
477313th
Binary
1110100100010000001
Octal
1644201
Hexadecimal
0x74881
Base64
B0iB
One's complement
4,294,489,982 (32-bit)
Scientific notation
4.77313 × 10⁵
As a duration
477,313 s = 5 days, 12 hours, 35 minutes, 13 seconds
In other bases
ternary (3) 220020202021
quaternary (4) 1310202001
quinary (5) 110233223
senary (6) 14121441
septenary (7) 4025404
nonary (9) 806667
undecimal (11) 2a6681
duodecimal (12) 1b0281
tridecimal (13) 139345
tetradecimal (14) c5d3b
pentadecimal (15) 9665d

As an angle

477,313° = 1,325 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοζτιγʹ
Chinese
四十七萬七千三百一十三
Chinese (financial)
肆拾柒萬柒仟參佰壹拾參
In other modern scripts
Eastern Arabic ٤٧٧٣١٣ Devanagari ४७७३१३ Bengali ৪৭৭৩১৩ Tamil ௪௭௭௩௧௩ Thai ๔๗๗๓๑๓ Tibetan ༤༧༧༣༡༣ Khmer ៤៧៧៣១៣ Lao ໔໗໗໓໑໓ Burmese ၄၇၇၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 477317.

Hex color
#074881
RGB(7, 72, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.72.129.

Address
0.7.72.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.72.129

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 477,313 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 477313 first appears in π at position 734,931 of the decimal expansion (the 734,931ordinal-suffix:st 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.