number.wiki
Live analysis

477,013

477,013 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.).

477,013 (four hundred seventy-seven thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74755.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
310,774
Square (n²)
227,541,402,169
Cube (n³)
108,540,206,872,841,197
Divisor count
2
σ(n) — sum of divisors
477,014
φ(n) — Euler's totient
477,012

Primality

477,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 477013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 477,013)
1 × 477013
First multiples
477,013 · 954,026 (double) · 1,431,039 · 1,908,052 · 2,385,065 · 2,862,078 · 3,339,091 · 3,816,104 · 4,293,117 · 4,770,130

Sums & aliquot sequence

As a sum of two squares: 407² + 558²
As consecutive integers: 238,506 + 238,507

Continued fraction of √n

√477,013 = [690; (1, 1, 1, 19, 1, 19, 14, 1, 4, 14, 26, 2, 37, 1, 7, 3, 2, 1, 3, 9, 2, 1, 1, 3, …)]

Representations

In words
four hundred seventy-seven thousand thirteen
Ordinal
477013th
Binary
1110100011101010101
Octal
1643525
Hexadecimal
0x74755
Base64
B0dV
One's complement
4,294,490,282 (32-bit)
Scientific notation
4.77013 × 10⁵
As a duration
477,013 s = 5 days, 12 hours, 30 minutes, 13 seconds
In other bases
ternary (3) 220020100011
quaternary (4) 1310131111
quinary (5) 110231023
senary (6) 14120221
septenary (7) 4024465
nonary (9) 806304
undecimal (11) 2a6429
duodecimal (12) 1b0071
tridecimal (13) 139174
tetradecimal (14) c5ba5
pentadecimal (15) 9650d

As an angle

477,013° = 1,325 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υοζιγʹ
Chinese
四十七萬七千零一十三
Chinese (financial)
肆拾柒萬柒仟零壹拾參
In other modern scripts
Eastern Arabic ٤٧٧٠١٣ Devanagari ४७७०१३ Bengali ৪৭৭০১৩ Tamil ௪௭௭௦௧௩ Thai ๔๗๗๐๑๓ Tibetan ༤༧༧༠༡༣ Khmer ៤៧៧០១៣ Lao ໔໗໗໐໑໓ Burmese ၄၇၇၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 477011, cousin with 477017.

Hex color
#074755
RGB(7, 71, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.71.85.

Address
0.7.71.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.71.85

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 477,013 and was likely granted around 1892.

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

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.