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477,991

477,991 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.).

477,991 (four hundred seventy-seven thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x74B27.

Arithmetic Number Centered Triangular Cube-Free Deficient Number Odious Number Pernicious Number Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
15,876
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
199,774
Square (n²)
228,475,396,081
Cube (n³)
109,209,183,048,153,271
Divisor count
2
σ(n) — sum of divisors
477,992
φ(n) — Euler's totient
477,990

Primality

477,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 477991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 477,991)
1 × 477991
First multiples
477,991 · 955,982 (double) · 1,433,973 · 1,911,964 · 2,389,955 · 2,867,946 · 3,345,937 · 3,823,928 · 4,301,919 · 4,779,910

Sums & aliquot sequence

As consecutive integers: 238,995 + 238,996

Continued fraction of √n

√477,991 = [691; (2, 1, 2, 2, 5, 691, 5, 2, 2, 1, 2, 1382)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-seven thousand nine hundred ninety-one
Ordinal
477991st
Binary
1110100101100100111
Octal
1645447
Hexadecimal
0x74B27
Base64
B0sn
One's complement
4,294,489,304 (32-bit)
Scientific notation
4.77991 × 10⁵
As a duration
477,991 s = 5 days, 12 hours, 46 minutes, 31 seconds
In other bases
ternary (3) 220021200101
quaternary (4) 1310230213
quinary (5) 110243431
senary (6) 14124531
septenary (7) 4030363
nonary (9) 807611
undecimal (11) 2a7138
duodecimal (12) 1b0747
tridecimal (13) 139747
tetradecimal (14) c62a3
pentadecimal (15) 96961

As an angle

477,991° = 1,327 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵υοζϡϟαʹ
Chinese
四十七萬七千九百九十一
Chinese (financial)
肆拾柒萬柒仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ٤٧٧٩٩١ Devanagari ४७७९९१ Bengali ৪৭৭৯৯১ Tamil ௪௭௭௯௯௧ Thai ๔๗๗๙๙๑ Tibetan ༤༧༧༩༩༡ Khmer ៤៧៧៩៩១ Lao ໔໗໗໙໙໑ Burmese ၄၇၇၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#074B27
RGB(7, 75, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.75.39.

Address
0.7.75.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.75.39

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 477,991 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 477991 first appears in π at position 707,783 of the decimal expansion (the 707,783ordinal-suffix:rd 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.