567
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 968
- Proper Divisor Sum (Aliquot Sum)
- 401
- 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
- 324
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 61
- 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
- fünfhundertsiebenundsechzig· ordinal: fünfhundertsiebenundsechzigste
- English
- five hundred sixty-seven· ordinal: five hundred sixty-seventh
- Spanish
- quinientos sesenta y siete· ordinal: 567º
- French
- cinq cent soixante-sept· ordinal: cinq cent soixante-septième
- Italian
- cinquecentosessantasette· ordinal: 567º
- Latin
- quingenti sexaginta septem· ordinal: 567.
- Portuguese
- quinhentos e sessenta e sete· ordinal: 567º
Appears in sequences
- Landau's approximation to population of x^2 + y^2 <= 2^n.at n=11A000690
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=26A000960
- Numbers that are the sum of 4 cubes in more than 1 way.at n=33A001245
- NPN-equivalence classes of threshold functions of n or fewer variables.at n=6A001529
- Decimal concatenation of n, n+1, and n+2.at n=5A001703
- Numerators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function).at n=2A002306
- Numbers that are the sum of 7 positive 4th powers.at n=48A003341
- Numbers of the form 3^i*7^j with i, j >= 0.at n=14A003594
- Degrees of irreducible representations of alternating group A_10.at n=23A003865
- Degrees of irreducible representations of symmetric group S_10.at n=39A003874
- Degrees of irreducible representations of symmetric group S_10.at n=40A003874
- Numbers that are a sum of distinct positive cubes in more than one way.at n=7A003998
- a(n) = n*(5*n^2 - 2)/3.at n=7A004466
- a(n) = 7*3^n.at n=4A005032
- Number of atomic species of degree n which are not nontrivial substitutions.at n=10A005227
- Number of achiral trees with n nodes.at n=14A005629
- a(n) = floor( phi*a(n-1) ) + floor( phi*a(n-2) ), where phi is the golden ratio.at n=10A005908
- Number of strongly self-dual planar maps with 2n edges.at n=3A006849
- Number of elements (a b, c d) in GL(2,Z) with |det| = 1, trace <= n and 0 <= a <= {b, c} <= d.at n=35A007295
- Nonsquares such that some permutation of digits is a square.at n=51A007937