11517
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 5283
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6960
- Möbius Function
- -1
- Radical
- 11517
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Expansion of 1/((1+x)*(1-x)^6).at n=16A001753
- a(n) is the smallest integer k such that floor((3/2)^k)/floor((3/2)^n) is an integer greater than 1.at n=19A065644
- Expansion of (1+x^3)/((1-x)^3*(1-x^2)^3*(1-x^3)).at n=17A107351
- Numbers of the form 68+p^2 (where p is a prime).at n=27A138691
- Number of n X 5 0..1 arrays with rows unimodal and columns nondecreasing.at n=8A225007
- Number of n X 3 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=3A232018
- T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=18A232023
- Number of 4Xn 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.at n=2A232026
- Number of numbers in row n of the array at A243855.at n=21A243856
- Numbers n for which the alternating sum of the digits of n^n is 0.at n=24A244212
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood.at n=28A273394
- E.g.f. satisfies: A(x) = Sum_{n>=0} (n+1)^(2*n-2)/n! * x^n/A(x)^n.at n=4A296234
- Expansion of (1/(1 - x)) * Sum_{k>=0} x^(2*k+1) / Product_{j=1..2*k+1} (1 - x^j).at n=29A306145
- Number of subsets of {1..n} containing the sum of every subset whose sum is <= n.at n=21A326080