number.wiki
Live analysis

476,477

476,477 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.).

476,477 (four hundred seventy-six 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, 0x7453D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
32,928
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
774,674
Square (n²)
227,030,331,529
Cube (n³)
108,174,731,275,943,333
Divisor count
2
σ(n) — sum of divisors
476,478
φ(n) — Euler's totient
476,476

Primality

476,477 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 476477
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 476,477)
1 × 476477
First multiples
476,477 · 952,954 (double) · 1,429,431 · 1,905,908 · 2,382,385 · 2,858,862 · 3,335,339 · 3,811,816 · 4,288,293 · 4,764,770

Sums & aliquot sequence

As a sum of two squares: 149² + 674²
As consecutive integers: 238,238 + 238,239

Continued fraction of √n

√476,477 = [690; (3, 1, 1, 1, 19, 1, 1, 1, 124, 1, 5, 2, 1, 2, 2, 1, 2, 2, 1, 3, 1, 10, 1, 1, …)]

Representations

In words
four hundred seventy-six thousand four hundred seventy-seven
Ordinal
476477th
Binary
1110100010100111101
Octal
1642475
Hexadecimal
0x7453D
Base64
B0U9
One's complement
4,294,490,818 (32-bit)
Scientific notation
4.76477 × 10⁵
As a duration
476,477 s = 5 days, 12 hours, 21 minutes, 17 seconds
In other bases
ternary (3) 220012121022
quaternary (4) 1310110331
quinary (5) 110221402
senary (6) 14113525
septenary (7) 4023101
nonary (9) 805538
undecimal (11) 2a5a91
duodecimal (12) 1ab8a5
tridecimal (13) 138b51
tetradecimal (14) c5901
pentadecimal (15) 962a2

As an angle

476,477° = 1,323 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοϛυοζʹ
Chinese
四十七萬六千四百七十七
Chinese (financial)
肆拾柒萬陸仟肆佰柒拾柒
In other modern scripts
Eastern Arabic ٤٧٦٤٧٧ Devanagari ४७६४७७ Bengali ৪৭৬৪৭৭ Tamil ௪௭௬௪௭௭ Thai ๔๗๖๔๗๗ Tibetan ༤༧༦༤༧༧ Khmer ៤៧៦៤៧៧ Lao ໔໗໖໔໗໗ Burmese ၄၇၆၄၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 476479.

Hex color
#07453D
RGB(7, 69, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.69.61.

Address
0.7.69.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.69.61

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 476,477 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 476477 first appears in π at position 4,571 of the decimal expansion (the 4,571ordinal-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.