8815
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 2273
- 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
- 6720
- Möbius Function
- -1
- Radical
- 8815
- 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
- 52
- 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
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T1 atom.at n=12A019170
- a(n) = A027082(n, 2n).at n=11A027087
- Number of bicentered 6-valent trees with n nodes.at n=16A036652
- Numbers n such that phi(n-1) + phi(n+1) = phi(2n).at n=9A067701
- a(n) = 5*n^2 + 10*n.at n=40A067724
- Terms k of A002977 such that both (k-1)/2 and (k-1)/3 are also terms of A002977.at n=7A085249
- Values of n for which the concatenations 1nn1, 3nn3, 7nn7 and 9nn9 are all primes.at n=9A102504
- a(n) = 20 + floor( (1 + Sum_{j=1..n-1} a(j)) / 2 ).at n=15A120145
- Number of symmetric bushes with n edges. I.e., number of ordered trees with n edges, no non-root vertices of outdegree 1 and symmetrical with respect to the vertical axis passing through the root.at n=22A125189
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 10.at n=9A154081
- Vertex number of a rectangular spiral related to Fibonacci numbers and prime numbers. The distances between nearest edges of the spiral that are parallel to the initial edge are the Fibonacci numbers, while the distances between nearest edges perpendicular to the initial edge are the prime numbers.at n=33A160794
- a(n) = 5*n^2 + 31*n + 1.at n=39A172193
- a(n) = ceiling(A029826(n)/2).at n=71A173894
- a(n) = (4*n^3-3*n^2+5*n-3)/3.at n=18A177342
- Sum of the abscissae of the first returns to the horizontal axis (assumed to be 0 if there are no such returns) in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).at n=13A191313
- Numbers n not divisible by 2 or 3 such that k^k == k+1 (mod n) has no nonzero solutions.at n=40A191834
- Number of distinct values of the sum of i^2 over 7 realizations of i in 0..n.at n=36A225274
- Numbers m with the property that its k-th smallest divisor, for all 1 <= k <= tau(m), contains exactly k "1" digits in its binary representation.at n=17A255401
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 590", based on the 5-celled von Neumann neighborhood.at n=30A273117
- Where the zeros in A123066 occur.at n=13A321962