10522
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15786
- Proper Divisor Sum (Aliquot Sum)
- 5264
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5260
- Möbius Function
- 1
- Radical
- 10522
- 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
- 55
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=14A020390
- Indices of records in A157190: prime(a(n)) can be written in more ways as pq-p-q (p,q, prime) than any smaller prime.at n=8A157191
- An Ulam-type sequence: a(n) = n if n<=10; for n>10, a(n) = least number > a(n-1) which is a unique sum of 10 distinct earlier terms.at n=44A183533
- A generalized Deutsch triangle.at n=58A188474
- A generalized Deutsch triangle.at n=62A188474
- G.f. A(x) satisfies A(x) = 1 + Sum_{n>=1} A(x)^n * 2*x^(2*n-1)/(1 - 2*x^(2*n-1)).at n=7A192402
- Expansion of 1/(1 - x + x^2 - x^3 - x^6 - x^9 + x^10 - x^11 + x^12).at n=48A225499
- Number of arrays of median of three adjacent elements of some length-5 0..n array, with no adjacent equal elements in the latter.at n=20A229013
- Number of partitions of n such that the number of parts having multiplicity 1 is not a part and the number of distinct parts is a part.at n=43A241443
- Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 8.at n=54A245148
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 462", based on the 5-celled von Neumann neighborhood.at n=31A272311
- a(n) = Sum_{i=0..n} i^2*T(i)^2, where T(i) = A000073(i) is the i-th tribonacci number.at n=7A337286
- Numbers that are the sum of five third powers in ten or more ways.at n=27A345187
- Numbers that are the sum of five third powers in exactly ten ways.at n=18A345188
- Total number of 231 patterns in all heapable permutations of length n.at n=8A391777