8914
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13374
- Proper Divisor Sum (Aliquot Sum)
- 4460
- 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
- 4456
- Möbius Function
- 1
- Radical
- 8914
- 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
- 47
- Smith Number
- yes
- 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
- 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 94.at n=6A031592
- a(n) = number of conjugacy classes in PSL_3(prime(n)).at n=37A124679
- Expansion of q^(-1) * psi(-q) / psi(-q^3)^3 in powers of q where psi() is a Ramanujan theta function.at n=51A133637
- 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, -1, 1), (-1, 0, 0), (0, -1, 0), (0, 0, 1), (1, 1, -1)}.at n=9A148456
- Let f(m) = number of steps needed to reach a Harshad number when the map k->A062028(l) is iterated starting at m; a(n) = smallest m such that f(m) = n.at n=61A181664
- a(n) = A001209(n) + 1.at n=27A196069
- Number of partitions of n into terms of (1,2)-Ulam sequence, cf. A002858.at n=44A199016
- G.f. satisfies: A(x) = (1 - 3*x*A(x)^2) * sqrt(4*A(x)^2 - 3).at n=5A231617
- Number of length 3+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=12A248540
- Number of (n+1) X (n+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=4A250575
- Number of (n+1)X(5+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=4A250580
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=40A250583
- Expansion of f(-x, x^2) / f(-x, -x^3)^3 in powers of x where f(, ) is Ramanujan's general theta function.at n=17A263993
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 54", based on the 5-celled von Neumann neighborhood.at n=28A270024
- Number of (not necessarily maximal) cliques in the n X n antelope graph.at n=44A308600
- Matula-Goebel numbers of unlabeled rooted identity RPMG-trees, meaning the Matula-Goebel numbers of the branches of any non-leaf node are relatively prime.at n=13A316469
- Floor of area of triangle whose sides are consecutive Ulam numbers (A002858).at n=31A330909
- Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees.at n=31A331963
- Number of partitions of n into an odd number of parts such that the set of even parts has only one element.at n=49A341495
- Number of partitions of n with exactly one repeated part and that part is even.at n=49A341496