585
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1092
- Proper Divisor Sum (Aliquot Sum)
- 507
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 288
- Möbius Function
- 0
- Radical
- 195
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 56
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertfünfundachtzig· ordinal: fünfhundertfünfundachtzigste
- English
- five hundred eighty-five· ordinal: five hundred eighty-fifth
- Spanish
- quinientos ochenta y cinco· ordinal: 585º
- French
- cinq cent quatre-vingt-cinq· ordinal: cinq cent quatre-vingt-cinqième
- Italian
- cinquecentoottantacinque· ordinal: 585º
- Latin
- quingenti octoginta quinque· ordinal: 585.
- Portuguese
- quinhentos e oitenta e cinco· ordinal: 585º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=35A000009
- Number of n-bead necklaces with beads of 2 colors and primitive period n, when turning over is not allowed but the two colors can be interchanged.at n=14A000048
- Continued fraction associated with y(y+1) = x(x^2 -1).at n=49A001086
- sigma_3(n): sum of cubes of divisors of n.at n=7A001158
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=27A001182
- Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4), ....at n=10A001891
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=49A002641
- Length of shortest (or optimal) Golomb ruler with n marks.at n=26A003022
- Numbers that are the sum of 8 positive 5th powers.at n=20A003353
- Divisors of 2^12 - 1.at n=20A003524
- Divisors of 2^24 - 1.at n=29A003532
- Divisors of 2^36 - 1.at n=47A003543
- Divisors of 2^48 - 1.at n=33A003553
- Add 4, then reverse digits; start with 0.at n=36A003608
- Degrees of irreducible representations of group L4(3).at n=20A003900
- Degrees of irreducible representations of group L4(3).at n=21A003900
- P-positions in Epstein's Put or Take a Square game.at n=21A005240
- Number of fractions in Farey series of order n.at n=43A005728
- Weighted count of partitions with distinct parts.at n=18A005895
- a(n) = floor(2^(n-1)/n).at n=13A006788