6160
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 11696
- 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
- 1920
- Möbius Function
- 0
- Radical
- 770
- Omega Function (Ω)
- 7
- 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
- 36
- 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 nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=39A003451
- a(n) = a(n-1) + 3*a(n-2) for n > 1, a(0) = a(1) = 1.at n=11A006130
- Augmented amicable pairs (smaller member of each pair).at n=0A007992
- Degrees of irreducible representations of group U6(2).at n=21A008948
- Degrees of irreducible representations of group U6(2).at n=22A008948
- Expansion of e.g.f. sin(log(1+x)).at n=8A009454
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=56A011909
- Expansion of e.g.f.: sech(arcsin(x)*sin(x)).at n=4A012339
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=39A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=39A024853
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=38A024854
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=34A025513
- Expansion of 1/((1-2*x)*(1-6*x)*(1-8*x)*(1-10*x)).at n=3A026562
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=40A028291
- Theta series of 6-dimensional lattice of det 8.at n=40A029543
- Number of reversible strings with n-1 beads of 2 colors. 6 beads are black. Strings are not palindromic.at n=10A032093
- Every run of digits of n in base 3 has length 2.at n=26A033001
- Theta series of 20-dimensional lattice L_20 with group 2.M_22.2.at n=4A033288
- a(n) = (2*n-1)*(3*n-1)*(4*n-1)*(5*n-1).at n=3A033590
- Triangle read by rows: T(k,j) = ((2*j+1)/(k+1))*binomial(2*j,j)*binomial(2*k-2*j,k-j).at n=41A033820