8478
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18960
- Proper Divisor Sum (Aliquot Sum)
- 10482
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2808
- Möbius Function
- 0
- Radical
- 942
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 A102489(k) is divisible by k.at n=31A032563
- Number of 3 X 3 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation.at n=10A058389
- McKay-Thompson series of class 48A for Monster.at n=55A058691
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=26A063368
- Product of n-th prime number and n-th composite number.at n=36A067563
- Riordan array ((1-x)/(1-3*x), x*(1-x)/(1-3*x)).at n=38A125693
- a(n) = floor(((1+sqrt(3))/2)^n).at n=28A125895
- Numbers k such that k and k^2 use only the digits 1, 4, 6, 7 and 8.at n=9A137052
- Riordan array (1, x(1-x)/(1-3x)).at n=48A147720
- Values of n such that n^a-+a are primes, a=5.at n=9A155021
- Main diagonal of square arrays A114881 and A249741.at n=17A249743
- Nonnegative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared.at n=17A257867
- Numbers n such that Bernoulli number B_{n} has denominator 798.at n=34A272138
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 918", based on the 5-celled von Neumann neighborhood.at n=25A273748
- a(n) = a(n-1) + 3*a(n-2) with n>1, a(0)=1, a(1)=6.at n=10A274977
- P-positions for the subtraction game whose allowed moves are the practical numbers (A005153).at n=30A275432
- Coordination sequence for "flu" 3D uniform tiling formed from tetrahedra, rhombicuboctahedra, and cubes.at n=47A299272
- a(n) = 3*(n+1)*(9*n+4).at n=17A304503
- Number of strict compositions of n that are neither increasing nor decreasing.at n=25A333149
- Number of even-length integer partitions of n with integer alternating product.at n=45A347704