8008
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 12152
- 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
- 2880
- Möbius Function
- 0
- Radical
- 2002
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 145
- 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
- Figurate numbers or binomial coefficients C(n,6).at n=16A000579
- Strobogrammatic numbers: the same upside down.at n=29A000787
- a(n) = binomial coefficient C(n,10).at n=6A001287
- Binomial coefficients C(2n, n-2).at n=6A002694
- Degrees of irreducible representations of alternating group A_13.at n=40A003868
- Degrees of irreducible representations of alternating group A_13.at n=41A003868
- Coefficients of Chebyshev polynomials.at n=12A005583
- Numbers with mirror symmetry about middle.at n=14A006072
- Numerators of worst case for Engel expansion.at n=36A006539
- a(n) = 6*(2*n+1)! / ((n!)^2*(n+3)).at n=6A007946
- Expansion of (1-x^11) / (1-x)^11.at n=6A008493
- 9-dimensional centered tetrahedral numbers.at n=6A008503
- Binomial coefficient C(16,n).at n=10A010932
- Binomial coefficient C(16,n).at n=6A010932
- Triangular array formed from elements to right of middle of rows of Pascal's triangle that are not 1.at n=50A014411
- Triangular array formed from elements to left of middle of rows of Pascal's triangle that are not 1.at n=54A014463
- Triangular array formed from even elements to right of middle of rows of Pascal's triangle.at n=25A014476
- Numbers in order in which they appear in Pascal's triangle.at n=57A014631
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=26A014642
- Number of compositions of n into 7 ordered relatively prime parts.at n=10A023032