8784
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 24986
- Proper Divisor Sum (Aliquot Sum)
- 16202
- 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
- 366
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 96
- 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 different ways one can attack all squares on an n X n chessboard with the smallest number of non-attacking queens needed.at n=22A002568
- Number of self-complementary oriented graphs with n nodes.at n=9A002785
- Theta series of direct sum of 6 copies of D_4 lattice.at n=2A008662
- Coordination sequence for FeS2-Pyrite, Fe position.at n=43A009957
- -sin(sin(x)-arcsin(x))=2/3!*x^3+8/5!*x^5+226/7!*x^7+8784/9!*x^9...at n=3A013343
- [ exp(5/9)*n! ].at n=6A030954
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=7A031785
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=45A033701
- a(n) in base 11 is a repdigit.at n=36A048335
- Revert transform of (1 - x - 4x^2 + x^3)/(1 - 6x^2).at n=12A049147
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=23A060665
- Barriers for bigomega(n): numbers n such that, for all m < n, m + bigomega(m) <= n.at n=42A068597
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,1).at n=14A074083
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=24A083707
- Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.at n=1A097696
- Difference between n-th prime squared and n-th perfect square.at n=24A106588
- Triangle read by rows: T(n,k) is the number of ternary trees with n edges and such that the first leaf in the preorder traversal is at level k (1<=k<=n). A ternary tree is a rooted tree in which each vertex has at most three children and each child of a vertex is designated as its left or middle or right child.at n=23A121445
- a(1)=2^3*5*7*29=8120; for n>1, a(n) = (-1)sigma(a(n-1)).at n=18A126602
- a(1)=2^3*5*7*29=8120; for n>1, a(n) = (-1)sigma(a(n-1)).at n=10A126602
- a(1)=2^3*5*7*29=8120; for n>1, a(n) = (-1)sigma(a(n-1)).at n=2A126602