8562
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17136
- Proper Divisor Sum (Aliquot Sum)
- 8574
- 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
- 2852
- Möbius Function
- -1
- Radical
- 8562
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- Smith Number
- no
- Vampire 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
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 92.at n=9A031590
- Number of ways of numbering the faces of a cube with nonnegative integers so that the sum of the 6 numbers is n.at n=27A054473
- Numbers which are the sum of their proper divisors containing the digit 4.at n=12A059463
- Number of nX1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than or equal to itself.at n=12A196537
- Irregular triangle read by rows: T(n,k) is the k-th generalized Eulerian number of order n and degree 2, for n >= 1 (the rows start at k=1).at n=41A211232
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2.at n=13A214503
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2.at n=24A214510
- Number of n X 2 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero.at n=12A230813
- Nonnegative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared.at n=21A257867
- Coefficients in Molien series for 5-dimensional faithful representation of Horrocks-Mumford group G_{HM}.at n=31A258702
- a(n) is the least k such that A261865(k) = A005117(n).at n=16A262036
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 182", based on the 5-celled von Neumann neighborhood.at n=27A270632
- The number of partitions of n which represent Chomp positions with Sprague-Grundy value 6.at n=52A284693
- Indices of primes in A000219.at n=30A285216
- Partial sums of A299274.at n=23A299275
- Sequence shifts left five places under Weigh transform with a(n) = signum(n) for n<5.at n=32A316077
- Squares where knight moving to a lowest unvisited square on a spirally numbered board will have no available moves.at n=7A323714
- Number of ways to write n as an ordered sum of 6 primes (counting 1 as a prime).at n=28A341985
- Unitary noncototient numbers: numbers k such that A323410(x) = k has no solution.at n=39A362182