580
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1260
- Proper Divisor Sum (Aliquot Sum)
- 680
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 224
- Möbius Function
- 0
- Radical
- 290
- 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
- 118
- 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
- yes
- Odd
- no
Names
- German
- fünfhundertachtzig· ordinal: fünfhundertachtzigste
- English
- five hundred eighty· ordinal: five hundred eightieth
- Spanish
- quinientos ochenta· ordinal: 580º
- French
- cinq cent quatre-vingts· ordinal: cinq cent quatre-vingtsième
- Italian
- cinquecentoottanta· ordinal: 580º
- Latin
- quingenti octoginta· ordinal: 580.
- Portuguese
- quinhentos e oitenta· ordinal: 580º
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=25A000223
- Generalized Stirling numbers, [n+3,n]_2.at n=3A001702
- Generalized Stirling numbers, [n+4,4]_2.at n=3A001706
- The coding-theoretic function A(n,4,3).at n=59A001839
- MacMahon's solid partitions of n in which 4 is the smallest summand.at n=8A002045
- Numbers that are the sum of 5 positive 4th powers.at n=35A003339
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=20A004922
- Central quadrinomial coefficients: largest coefficient of (1 + x + x^2 + x^3)^n.at n=6A005190
- P-positions in Epstein's Put or Take a Square game.at n=20A005240
- Number of partitions of 4*n into powers of 4.at n=50A005705
- Central quadrinomial coefficients.at n=3A005721
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=17A005893
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=26A006582
- Closed meanders with 3 components and 2n bridges.at n=2A006658
- Apocalyptic powers: 2^a(n) contains 666.at n=38A007356
- Numbers that are the sum of 2 nonzero squares in 2 or more ways.at n=38A007692
- Number of n-node Steinhaus graphs whose complements have at least one cut-vertex.at n=23A007812
- Number of fullerenes with 2n vertices (or carbon atoms).at n=17A007894
- Coordination sequence T4 for Zeolite Code DAC.at n=15A008070
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=17A008084