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471,997

471,997 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.).

471,997 (four hundred seventy-one thousand nine hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x733BD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime 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
799,174
Square (n²)
222,781,168,009
Cube (n³)
105,152,042,956,743,973
Divisor count
2
σ(n) — sum of divisors
471,998
φ(n) — Euler's totient
471,996

Primality

471,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 471997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 471,997)
1 × 471997
First multiples
471,997 · 943,994 (double) · 1,415,991 · 1,887,988 · 2,359,985 · 2,831,982 · 3,303,979 · 3,775,976 · 4,247,973 · 4,719,970

Sums & aliquot sequence

As a sum of two squares: 426² + 539²
As consecutive integers: 235,998 + 235,999

Continued fraction of √n

√471,997 = [687; (49, 13, 1, 6, 12, 4, 3, 1, 3, 5, 2, 3, 2, 1, 1, 4, 1, 1, 6, 5, 2, 1, 2, 1, …)]

Representations

In words
four hundred seventy-one thousand nine hundred ninety-seven
Ordinal
471997th
Binary
1110011001110111101
Octal
1631675
Hexadecimal
0x733BD
Base64
BzO9
One's complement
4,294,495,298 (32-bit)
Scientific notation
4.71997 × 10⁵
As a duration
471,997 s = 5 days, 11 hours, 6 minutes, 37 seconds
In other bases
ternary (3) 212222110101
quaternary (4) 1303032331
quinary (5) 110100442
senary (6) 14041101
septenary (7) 4004041
nonary (9) 788411
undecimal (11) 2a2689
duodecimal (12) 1a9191
tridecimal (13) 136ab6
tetradecimal (14) c4021
pentadecimal (15) 94cb7

As an angle

471,997° = 1,311 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοαϡϟζʹ
Chinese
四十七萬一千九百九十七
Chinese (financial)
肆拾柒萬壹仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ٤٧١٩٩٧ Devanagari ४७१९९७ Bengali ৪৭১৯৯৭ Tamil ௪௭௧௯௯௭ Thai ๔๗๑๙๙๗ Tibetan ༤༧༡༩༩༧ Khmer ៤៧១៩៩៧ Lao ໔໗໑໙໙໗ Burmese ၄၇၁၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0733BD
RGB(7, 51, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.189.

Address
0.7.51.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.51.189

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 471,997 and was likely granted around 1891.

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.