10928
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 21204
- Proper Divisor Sum (Aliquot Sum)
- 10276
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5456
- Möbius Function
- 0
- Radical
- 1366
- Omega Function (Ω)
- 5
- 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
- 42
- 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
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=31A024598
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=30A025112
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=50A026051
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=28A063370
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 6.at n=16A068012
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 12.at n=17A068033
- Sum of divisors of 2^n+1.at n=12A069061
- a(n) = n*(8*n^2 + 1)/3.at n=16A143166
- Jacobsthal numbers A001045 alternatingly incremented by 3 and 5.at n=15A154890
- Number of binary strings of length n with equal numbers of 0000 and 0101 substrings.at n=15A164150
- a(n) = n*(n+1)*(2*n+1)/6 - n*floor(n/2).at n=31A178946
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=28A189188
- Numbers equal to the Euler totient function of their arithmetic derivative: k = phi(k').at n=43A217715
- Number of 8-line partitions of n (i.e., planar partitions of n with at most 8 lines).at n=16A225198
- Number of partitions of n such that 2*(greatest part) = (number of parts).at n=56A237753
- Sum of divisors of 2^prime(n)+1.at n=5A247939
- Number of (n+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.at n=5A250604
- Number of (n+1) X (6+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.at n=5A250609
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood.at n=27A273455
- Coordination sequence for "tsi" 3D uniform tiling.at n=41A299289