11533
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12160
- Proper Divisor Sum (Aliquot Sum)
- 627
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10908
- Möbius Function
- 1
- Radical
- 11533
- 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
- 143
- 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 period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=26A031824
- Semiprimes in A056107.at n=17A113525
- a(n) = 961*n + 1.at n=11A158414
- a(n) = 12*n^2 + 1.at n=31A158480
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=36A168254
- Number of (n+1) X 7 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=10A186459
- Number of partitions p of n such that median(p) >= multiplicity(min(p)).at n=38A240216
- Number of starting positions of Kayles with n pieces such that the 2nd player can win (P-positions).at n=45A263453
- Number of pairs (p,q) of partitions of n into distinct parts such that p majorizes q in the dominance order.at n=26A265506
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 494", based on the 5-celled von Neumann neighborhood.at n=31A272548
- Numbers missing from A317416.at n=31A317418
- Total number of partitions of k*n into 3 parts for k = 1..n.at n=12A343124
- a(n) is the smallest number which can be represented as the sum of n distinct nonzero triangular numbers in exactly n ways, or 0 if no such number exists.at n=38A350288
- a(n) = Sum_{k=3..n} binomial(k-1,2) * floor(n/k).at n=39A366970