8160
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 27216
- Proper Divisor Sum (Aliquot Sum)
- 19056
- 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
- 2048
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Number of ways of writing n as a sum of 6 squares.at n=22A000141
- Expansion of 1/theta_4(q)^2 in powers of q.at n=11A001934
- Reversion of Jacobi theta_3.at n=6A006195
- Generalized Fibonacci numbers D_{n,2}.at n=13A006210
- a(n) = denominator of Bernoulli(2n)/(2n).at n=7A006953
- Theta series of {D_6}* lattice.at n=44A008425
- Theta series of D_6 lattice.at n=11A008428
- Theta series of {D_6}^{+} lattice.at n=44A008434
- [ n(n-1)(n-2)(n-3)/7 ].at n=17A011917
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/9).at n=18A011919
- Weight distribution of [ 17,9,7 ] code over GF(4).at n=10A014488
- Theta series of 17-dimensional lattice Q'_17(6)^{+2}.at n=5A015163
- Theta series of 17-dimensional lattice Q'_17(6)^{+6}.at n=15A015165
- a(n) = prime(2^n)-1.at n=10A018249
- Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(2,32).at n=3A022028
- Number of n-move rook paths on 8 X 8 board from given corner to opposite corner.at n=5A025608
- Number of irreducible polynomials of degree n over GF(4); dimensions of free Lie algebras.at n=8A027377
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=33A029690
- Weight distribution of [ 17,8,8 ] code over GF(4).at n=5A030061
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=16A031173