11008
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 22484
- Proper Divisor Sum (Aliquot Sum)
- 11476
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 86
- Omega Function (Ω)
- 9
- 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
- 37
- 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
- Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope).at n=16A008412
- Expansion of e.g.f.: exp(arctan(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5...at n=8A012997
- cosh(arctan(x)+tan(x))=1+4/2!*x^2+16/4!*x^4+544/6!*x^6+11008/8!*x^8...at n=4A013006
- Coordination sequence for C_4 lattice.at n=8A019560
- Numbers that are the sum of 4 nonzero squares in exactly 7 ways.at n=39A025363
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=43A033579
- Numbers whose base-7 representation contains exactly four 4's.at n=8A043412
- n is divisible by the 4th power of the number of unitary divisors of n (A034444).at n=40A048170
- Numbers n such that 29*2^n-1 is prime.at n=5A050540
- Number of walks of length n along the edges of an octahedron starting and ending at a vertex and also ( with a(0)=0 ) between two opposite vertices.at n=8A054881
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=35A060675
- Numbers k such that k^2 + 1 is composite and phi(k^2 + 1) == 0 (mod k).at n=25A067519
- Number of permutations of {1,2,...,n} that result in a binary search tree (when elements of the permutation are inserted in that order) of height n-1 (i.e., the second largest possible height).at n=10A076616
- n is divisible by the sum of all divisors of n which are less than the square root of n (values of n where 1 is the only divisor less than sqrt(n) are excluded as trivial cases.).at n=41A088345
- Numbers beginning with a vowel in French.at n=10A118557
- Transform of 2^n by the aerated Catalan triangle A165408.at n=11A165409
- Totally multiplicative sequence with a(p) = 9p-2 for prime p.at n=19A166672
- Expansion of 1/(1-2x-x^2/(1-4x-3x^2/(1-6x-5x^2/(1-8x-7x^2/(1-...))))) (continued fraction).at n=7A178119
- Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2.at n=28A178121
- Least natural number n in increasing order such that the sum of decimal digits is equal to A001223(n).at n=33A179462