8943
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13056
- Proper Divisor Sum (Aliquot Sum)
- 4113
- 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
- 5400
- Möbius Function
- -1
- Radical
- 8943
- 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
- 153
- 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
- a(n) = (d(n)-r(n))/2, where d = A026057 and r is the periodic sequence with fundamental period (0,0,1,0).at n=40A026058
- a(n) = diagonal sum of right-justified array T given by A027052.at n=12A027070
- Divisors of 9999999999.at n=16A027895
- 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 31.at n=33A031529
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 5).at n=42A035553
- Number of 4 X n binary matrices without unit columns up to row and column permutations.at n=9A057223
- Expansion of 1/((1+x)*sqrt(1-2*x-3*x^2) - x).at n=9A116394
- a(n) = n*(8*n+7).at n=33A139278
- Maximum number of points visible from some point in a cubic n x n x n lattice.at n=21A141227
- 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), (0, -1, 1), (0, 0, 1), (1, 0, 1), (1, 1, -1)}.at n=7A150564
- Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 4,2 5,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155293
- Numbers n such that 10^n - 1 divides 10^(10^100) - 10.at n=29A200879
- Number of (w,x,y,z) with all terms in {1,...,n} and 2*w*x<3*y*z.at n=11A211920
- Nearest integer to variance of n-th row of Pascal's triangle.at n=10A301280
- Number of nXn 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=4A316212
- Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=4A316215
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=40A316218
- Numbers whose reciprocals have period 10.at n=4A345319
- Irregular triangle read by rows: T(n, k) is the number of chains of subspaces 0 < V_1 < ... < V_r = (F_2)^n, counted up to coordinate permutation, with dimension increments given by (any fixed permutation of) the parts of the k-th partition of n in Abramowitz-Stegun order.at n=59A348113
- Number of integer partitions of n whose distinct parts have integer mean.at n=40A360241