8326
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 4778
- 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
- 3960
- Möbius Function
- -1
- Radical
- 8326
- 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
- 65
- 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
- yes
- Odd
- no
Appears in sequences
- Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-4 places.at n=4A000440
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=46A001107
- Number of matrix bundles of codimension n (Euler transform of A001156).at n=20A007864
- Expansion of 1/((1-3x)(1-7x)(1-8x)(1-11x)).at n=3A028091
- Even 10-gonal (or decagonal) numbers.at n=23A028994
- Take list of cubes, move left digit of each term to end of previous term.at n=19A032761
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=33A034857
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=37A063350
- Number of primes less than 10^n with initial digit 8.at n=5A073510
- a(n) = 6*n^2 + 3*n + 1.at n=37A085473
- Sum of first n 6-almost primes.at n=21A086052
- Triangle read by rows giving number of circular permutations of n letters such that all letters are displaced by no more than k places from their original position.at n=40A094315
- Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 21 for n > 0.at n=22A101150
- Number of partitions of n such that the largest part is coprime to every other part.at n=38A130690
- a(n) = A144453(n)/16.at n=45A146537
- 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, -1, 1), (-1, 1, -1), (0, 0, 1), (1, 0, 0)}.at n=9A149814
- a(n) = 225*n + 1.at n=36A158229
- 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=87A181664
- Total sum of repeated parts in all partitions of n.at n=21A194544
- Last occurrence of n partitions in A204814.at n=10A205301