10551
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14072
- Proper Divisor Sum (Aliquot Sum)
- 3521
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7032
- Möbius Function
- 1
- Radical
- 10551
- Omega Function (Ω)
- 2
- 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
- 104
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 68.at n=31A031566
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 4 (mod 5).at n=53A035576
- Number of partitions of n such that multiplicities of parts are divisors of n.at n=44A100932
- Pascal triangle shifted MacMahon numbers: p(x,n)=If[n < 2, -(-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2], 2*x*(x + 1)^(n - 2) - (-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2]].at n=23A147295
- Pascal triangle shifted MacMahon numbers: p(x,n)=If[n < 2, -(-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2], 2*x*(x + 1)^(n - 2) - (-2)^n*(x - 1)^(n + 1)*LerchPhi[x, -n, 1/2]].at n=25A147295
- Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 13.at n=10A154088
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 9 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=33A166059
- Coefficient array for orthogonal polynomials P(n,x)=x*P(n-1,x)-(2*floor((n+2)/2)-3)*P(n-2,x), P(0,x)=1,P(1,x)=x.at n=69A178107
- Magic constants of the magic cubes 3 X 3 X 3 composed of prime numbers.at n=18A239671
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood.at n=23A272151
- Expansion of Product_{k>=1} (1 - x^(8*(2*k-1))) * (1 - x^(8*k)) / (1 - x^k).at n=36A280938
- Numbers which are palindromic in their Elias delta code representation.at n=31A281380
- Numbers k such that k, k + 1 and k + 2 are all norm-deficient in Gaussian integers (A332572).at n=35A332574
- a(n) is the Wiener index of a tridon on n vertices.at n=35A349418
- Integers that need 10 iterations of the map x->A352172(x) to reach 1.at n=33A352268