6006
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 10122
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1440
- Möbius Function
- -1
- Radical
- 6006
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- Number of internal triangles in all triangulations of an (n+1)-gon.at n=5A002058
- a(n) = 2*n*(2*n-1).at n=39A002939
- Degrees of irreducible representations of alternating group A_13.at n=35A003868
- Degrees of irreducible representations of symmetric group S_13.at n=63A003877
- Degrees of irreducible representations of symmetric group S_13.at n=64A003877
- 3-dimensional Catalan numbers.at n=5A005789
- 5-dimensional Catalan numbers.at n=3A005791
- Number of nodes in regular n-gon with all diagonals drawn.at n=20A007569
- Number of intersection points of diagonals of an n-gon in general position, plus number of vertices.at n=21A014626
- Nearest integer to Gamma(n + 1/9)/Gamma(1/9).at n=9A020024
- Ceiling of Gamma(n+1/9)/Gamma(1/9).at n=9A020114
- Expansion of 1/(1-4*x)^(7/2).at n=4A020918
- Expansion of (1-4*x)^(13/2).at n=4A020925
- a(n) = n*(11*n+1)/2.at n=33A022269
- a(n) is least k such that k and 9k are anagrams in base n (written in base 10).at n=33A023101
- Theta series of A_13 lattice.at n=2A023904
- Theta series of A*_13 lattice.at n=48A023925
- Theta series of A*_13 lattice.at n=56A023925
- Theta series of A*_14 lattice.at n=25A023926
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n and s(0) = 3. Also a(n) = Sum{T(n,k), k = 0,1,...,[ (n+3)/2 ]}, where T is defined in A026022.at n=13A026023