11516
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 8644
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5756
- Möbius Function
- 0
- Radical
- 5758
- Omega Function (Ω)
- 3
- 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
- 130
- 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
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=42A015633
- Number of lines through exactly 4 points of an n X n grid of points.at n=35A018811
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 odd positive integers}.at n=17A024205
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=33A045075
- Length of period of the continued fraction for sqrt(n!).at n=17A064025
- Numbers n such that sigma(n+1)-sigma(n) = -sigma(n)/d(n), where d(n) denotes the number of divisors of n.at n=3A066177
- Numbers k such that sigma(k^2+1) is a perfect square.at n=13A067465
- A078278(n)/22.at n=2A078281
- Real part of (1 + n*i)^5.at n=7A121671
- Let A(0) = 1, B(0) = 0; A(n+1) = Sum_{k=0..n} binomial(n,k)*B(k), B(n+1) = Sum_{k=0..n} -binomial(n,k)*A(k); entry gives A sequence (cf. A121868).at n=10A121867
- Positive numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers and y>x).at n=13A135792
- Numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers).at n=16A135793
- Convolution square of A003114.at n=35A145467
- Expansion of 1/(1 - x^4 - x^5 - x^6 + x^10).at n=55A147652
- Smallest number with "natural" logarithm n, cf. A061373.at n=33A182061
- Number of 0..5 arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo 6.at n=6A200665
- T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with each no smaller than the sum of its three previous neighbors modulo (k+1).at n=61A200668
- Number of 0..n arrays x(0..6) of 7 elements with each no smaller than the sum of its three previous neighbors modulo (n+1).at n=4A200671
- p-INVERT of the positive integers, where p(S) = (1 - S)^4.at n=6A290919
- Positions of records in A297025.at n=22A297026