8655
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13872
- Proper Divisor Sum (Aliquot Sum)
- 5217
- 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
- 4608
- Möbius Function
- -1
- Radical
- 8655
- 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
- 171
- 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
- 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=29A031529
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 31.at n=2A031709
- Numbers whose set of base-14 digits is {2,3}.at n=23A032814
- Denominators of continued fraction convergents to sqrt(310).at n=11A041585
- Number of trees with n nodes and 4 leaves.at n=33A055291
- Interprimes which are of the form s*prime, s=15.at n=31A075290
- Numbers k such that k!! + 2^10 is prime.at n=11A076197
- Diagonal sums of a Chebyshev number triangle.at n=11A101126
- a(n)=the (1,1)-term of M^(n-1), where M=matrix(5,5, [3,-1,-1,-1,-1; 1,3,-1,-1,-1; 1,1,3,-1,-1; 1,1,1,3,-1; 1,1,1,1,3]).at n=7A123220
- Turan's upper bound on the number of triangles of a simplicial complex of dimension two for which every minimal non-face has three vertices.at n=46A140462
- Numbers k such that the fractional part of (10/9)^k is less than 1/k.at n=8A153694
- a(n) = 961*n^2 + 2*n.at n=2A158413
- a(1)=3, a(2)=5, a(n)=3*a(n-1) + 5*a(n-2).at n=6A189739
- Number of zero-sum -n..n arrays of 5 elements with first and second differences also in -n..n.at n=8A201876
- Number of (n+1)X5 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.at n=0A205732
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.at n=6A205736
- Number of 2 X (n+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.at n=3A205737
- Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock the same.at n=0A205905
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock the same.at n=6A205909
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock the same.at n=9A205909