11666
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18480
- Proper Divisor Sum (Aliquot Sum)
- 6814
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5508
- Möbius Function
- -1
- Radical
- 11666
- 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
- 81
- 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
- yes
- Odd
- no
Appears in sequences
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=36A010002
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=27A010006
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=15A033167
- Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion.at n=20A051003
- Number of reduced BDDs (binary decision diagrams) with two nodes on each level except the top.at n=3A130678
- a(n) = n*(8*n+3).at n=38A139276
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=32A175534
- G.f.: A(x) = Sum_{n>=0} x^n / Product_{k=1..n} (1 - k*x^k).at n=18A193196
- Riordan array ((1-x)/(1-2*x-x^2), x*(1+x)/(1-2*x-x^2)).at n=49A210636
- Numbers of apex graphs (graphs which become or remain planar upon the removal of a single vertex) on n vertices.at n=7A215620
- Number of n element 0..3 arrays with each element the minimum of 6 adjacent elements of a random 0..3 array of n+5 elements.at n=10A217952
- Number of tableaux of size n with major index (sum of descent set) equal to 1 mod n.at n=11A225616
- Number of c-squarefree numbers (A233564) less than 2^n.at n=22A229898
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 5.at n=45A240014
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 94", based on the 5-celled von Neumann neighborhood.at n=33A270135
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 131", based on the 5-celled von Neumann neighborhood.at n=25A270223
- Numbers using only digits 1 and 6.at n=37A284293
- Numbers that contain exactly one pair of identical digits x and a triple of identical digits y (x not equal y).at n=32A291312
- Numbers with digits in nondecreasing order such that additive and multiplicative digital roots coincide.at n=46A318273
- Number of subsets of {1..n} containing n such that every subset has a different sum.at n=29A325866