11196
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 28392
- Proper Divisor Sum (Aliquot Sum)
- 17196
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3720
- Möbius Function
- 0
- Radical
- 1866
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- Antichains (or order ideals) in the poset 2*2*5*n or size of the distributive lattice J(2*2*5*n).at n=2A006362
- a(1)=1, a(n) = 6*a(n-1) + n.at n=5A014829
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=37A026044
- Antichains (or order ideals) in the poset 2*2*2*n or size of the distributive lattice J(2*2*2*n).at n=5A056932
- a(n) = Sum_{i=1..n} i*n^(n-i).at n=6A062805
- Number of hands that peg n points in the "show" phase of 6-card cribbage.at n=17A066354
- Number of two-rowed partitions of length 5.at n=25A070558
- Cube of lower triangular matrix of A056857 (successive equalities in set partitions of n).at n=22A078938
- Solution to the Dancing School Problem with 5 girls and n+5 boys: f(5,n).at n=7A079910
- Solution to the Dancing School Problem with n girls and n+7 boys: f(n,7).at n=4A079926
- Triangle related to generalized Euler numbers of type 2^n (A005799).at n=30A088990
- Triangle related to generalized Euler numbers of type 2^n (A005799).at n=34A088990
- Triangle, read by rows, equal to the matrix cube of A113381.at n=10A113387
- Column 0 of triangle A113387, also equals column 0 of A113389^2.at n=4A113388
- Triangle, read by rows, equal to the matrix square of triangle A113389. Also given by the matrix product: R^2 = Q^3*(P^-2)*Q, using triangular matrices P=A113370, Q=A113381 and R=A113389.at n=10A113392
- Column 1 of triangle A113392, also equals column 0 of A113381^6.at n=4A113393
- Triangle, read by rows, given by the product R^-1*P^3 using triangular matrices P=A113370, R=A113389.at n=16A114153
- Second column of PE^3.at n=6A129327
- Triangle read by rows: T(n,k) is the number of paths in the first quadrant, from (0,0) to (n,0), consisting of steps U=[1,1], D[1,-1], h=(1,0) and H=(2,0), having height k (0<=k<=floor(n/2)).at n=45A132888
- Number of distinct grids after n moves in the 5D version of Morpion Solitaire.at n=5A204107