8948
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15666
- Proper Divisor Sum (Aliquot Sum)
- 6718
- 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
- 4472
- Möbius Function
- 0
- Radical
- 4474
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 91
- 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 binary rooted trees with n nodes and height at most 6.at n=20A036589
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5).at n=32A039842
- Denominators of continued fraction convergents to sqrt(951).at n=10A042841
- a(n) is the smallest number k such that A073813(k) = prime(n).at n=25A073814
- Number of symmetric sum-free subsets of {1,2,...,n-1} with sums taken mod n.at n=46A083041
- Number of permutations of length n which avoid the patterns 213, 51432.at n=9A116849
- a(n) is such that the a(n)-th composite number is (n-th prime)^2.at n=25A120389
- 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, 1), (1, -1, 1), (1, 0, -1), (1, 1, 1)}.at n=8A149444
- a(n) = n*(4*n^2 - 3*n + 5)/6.at n=23A174723
- Partial sums of ceiling(n^2/4).at n=47A175287
- 1/128 the number of (n+2) X (n+2) binary arrays with each 3 X 3 subblock trace equal to some horizontal or vertical neighbor 3 X 3 subblock trace.at n=2A185984
- 1/128 the number of (n+2)X5 binary arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace.at n=2A185987
- T(n,k)=1/128 the number of (n+2)X(k+2) binary arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace.at n=12A185993
- Number of 4-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=19A187378
- Number of nX4 0..2 arrays with every 1 immediately preceded by 0 to the left or above, no 0 immediately preceded by a 0, and every 2 immediately preceded by 0 1 to the left or above.at n=7A203177
- T(n,k) is the number of n X k 0..2 arrays with every 1 immediately preceded by 0 to the left or above, no 0 immediately preceded by a 0, and every 2 immediately preceded by 0 1 to the left or above.at n=58A203181
- T(n,k) is the number of n X k 0..2 arrays with every 1 immediately preceded by 0 to the left or above, no 0 immediately preceded by a 0, and every 2 immediately preceded by 0 1 to the left or above.at n=62A203181
- Number of (n+1)X6 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors.at n=10A205069
- Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order.at n=3A205355
- Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order.at n=1A205357