582
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1176
- Proper Divisor Sum (Aliquot Sum)
- 594
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 192
- Möbius Function
- -1
- Radical
- 582
- Omega Function (Ω)
- 3
- 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
- 118
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- yes
- Odd
- no
Names
- German
- fünfhundertzweiundachtzig· ordinal: fünfhundertzweiundachtzigste
- English
- five hundred eighty-two· ordinal: five hundred eighty-second
- Spanish
- quinientos ochenta y dos· ordinal: 582º
- French
- cinq cent quatre-vingt-deux· ordinal: cinq cent quatre-vingt-deuxième
- Italian
- cinquecentoottantadue· ordinal: 582º
- Latin
- quingenti octoginta duo· ordinal: 582.
- Portuguese
- quinhentos e oitenta e dois· ordinal: 582º
Appears in sequences
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=20A000837
- Number of oriented graphs (i.e., digraphs with no bidirected edges) on n unlabeled nodes. Also number of complete digraphs on n unlabeled nodes. Number of antisymmetric relations (i.e., oriented graphs with loops) on n unlabeled nodes is A083670.at n=4A001174
- Number of n-node trees of height at most 5.at n=10A001385
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=31A001484
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=17A002597
- Numbers that are the sum of 7 positive 4th powers.at n=50A003341
- Numbers that are the sum of 5 positive 5th powers.at n=14A003350
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=36A003508
- Numbers that are the sum of at most 5 positive 5th powers.at n=45A004845
- Record gaps between primes.at n=50A005250
- Number of protruded partitions of n with largest part at most 6.at n=9A005407
- a(n) = floor(tau*a(n-2)) + a(n-1) with a(0)=1 and a(1)=3.at n=10A005907
- Number of integer partitions of n whose smallest part is equal to the number of parts.at n=53A006141
- a(n) = 1 + F(2*n+1) + (-1)^n*L(n).at n=7A006172
- From a partition of the integers.at n=15A006628
- Series for second perpendicular moment of square lattice.at n=7A006734
- Apocalyptic powers: 2^a(n) contains 666.at n=39A007356
- Moebius transform of triangular numbers.at n=41A007438
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=28A007621
- Coordination sequence T2 for Zeolite Code BOG.at n=17A008050