11036
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 9124
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 5518
- Omega Function (Ω)
- 4
- 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
- 161
- 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
- a(n) = n*(23*n - 1)/2.at n=31A022280
- Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even.at n=19A033967
- Trajectory of 3 under map n->21*n+1 if n odd, n->n/2 if n even.at n=26A037108
- Number of connected 5-colorable (i.e., chromatic number <= 5) simple graphs on n nodes.at n=7A076324
- Indices of terms in A091074 which are prime numbers.at n=33A091076
- G.f.: (3-4*x-3*x^2)/(1-2*x-3*x^2+2*x^3).at n=9A107334
- Even cyclops numbers.at n=47A162198
- Numbers n with property that there is a different number m such that the lunar squares n*n and m*m are the same.at n=23A181319
- Total number of parts that are not the smallest part in all partitions of n.at n=26A182984
- Number of disconnected 2-regular simple graphs on n vertices with girth at least 5.at n=67A185225
- Number of 3-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=32A187173
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x)=1+x^(n+1)+x^(2n).at n=10A192474
- Numbers which, when divided by the sum of their prime factors, give a prime number.at n=40A199013
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2.at n=27A209984
- Number of nX5 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=1A221691
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=16A221693
- Number of 2 X n arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction.at n=4A221694
- Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.at n=34A224668
- Numbers n such that the smallest prime divisor of n^2+1 is 97.at n=39A248552
- a(n) = floor(((sqrt(sqrt(3))^3)/sqrt(Pi))^n).at n=37A255575