8578
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12870
- Proper Divisor Sum (Aliquot Sum)
- 4292
- 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
- 4288
- Möbius Function
- 1
- Radical
- 8578
- Omega Function (Ω)
- 2
- 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
- 78
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- A generalized partition function.at n=17A002599
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=30A023541
- 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=11A031590
- Base-8 palindromes that start with 2.at n=24A043022
- Intrinsic 9-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=40A060879
- Numbers k such that k^4 has k as a substring of its decimal expansion.at n=43A075904
- Logarithmic g.f.: Sum_{n>=1} a(n)/n*x^n = log(G108626(x)), where G108626(x) is g.f. for A108626.at n=7A108627
- Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-6).at n=10A114358
- Coefficient of x^n in product (1+x)*Product_{j>=1} (1 + prime(j)*x^j).at n=12A147544
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 0), (1, -1, 1), (1, 0, -1), (1, 1, 0)}.at n=8A149346
- T(n, m) = Sum_{i=0..10} floor(Eulerian(n+1, m)/2^i).at n=30A174033
- T(n, m) = Sum_{i=0..10} floor(Eulerian(n+1, m)/2^i).at n=33A174033
- Volume of right circular cone (rounded down) with the diameter of base and height equal to n.at n=31A228189
- Nonnegative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared.at n=22A257867
- Palindromic numbers in bases 3 and 8 written in base 10.at n=8A259381
- Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000101.at n=15A259768
- Sum of the lengths of the arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2.at n=30A264100
- Number of classes of endofunctions of [n] under vertical translation mod n, rotation and reversal.at n=7A275555
- a(1)=1; for n>1, a(n) = least integer greater than a(n-1) such that the sums of the divisors of the pairwise sums of a(1),...,a(n) are all distinct.at n=33A293542
- Coordination sequence for "tea" 3D uniform tiling.at n=33A299285