8344
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
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18000
- Proper Divisor Sum (Aliquot Sum)
- 9656
- 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
- 3552
- Möbius Function
- 0
- Radical
- 2086
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Number of discordant permutations.at n=11A000561
- Number of nonseparable rooted toroidal maps with n + 4 edges and n + 1 vertices.at n=3A006409
- Number of nonseparable rooted toroidal maps with n + 5 edges and n + 1 vertices.at n=2A006410
- Spontaneous magnetization coefficients for square lattice spin 2 Ising model.at n=49A010103
- 24-gonal numbers: a(n) = n*(11*n-10).at n=28A051876
- McKay-Thompson series of class 47A for the Monster group.at n=54A058690
- Numbers n such that n and its reversal are both multiples of 14.at n=40A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=28A062913
- Number of cyclic subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=47A064969
- Sum of n-th antidiagonal of array in A081998.at n=15A082001
- Numbers which when multiplied by any repunit prime Rp give a Smith number.at n=7A104167
- a(n) = 3*a(n-1) - 2*a(n-2) - a(n-3) + a(n-4) with n>3, a(0)=1, a(1)=2, a(2)=3, a(3)=6.at n=17A131269
- 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, 0), (1, 0, 0), (1, 1, 1)}.at n=7A150528
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (1, -1), (1, 1)}.at n=8A151466
- Records in A152968.at n=44A152973
- Integers of the form (k+1)*(2k+1)/12.at n=36A164578
- Numbers k such that Sum_{i=1..k} i^7 divides Product_{i=1..k} i^7.at n=9A166607
- a(n) = A000041(n) - A032741(n).at n=32A167934
- Binomial transform of A171372.at n=11A171373
- (Average of twin balanced prime pairs)/10.at n=29A173893