9117
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13182
- Proper Divisor Sum (Aliquot Sum)
- 4065
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6072
- Möbius Function
- 0
- Radical
- 3039
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 153
- 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
- no
- Odd
- yes
Appears in sequences
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=25A015629
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=34A020407
- Triangle with T(n,k) = k*E(n,k) where E(n,k) are Eulerian numbers A008292.at n=53A065826
- Expansion of 1/(1-2*x+x^2+x^3).at n=23A077941
- Expansion of 1/(1+x^2+x^3).at n=49A077962
- Expansion of (1-x)/(1 + x^2 - x^3).at n=47A078031
- Numbers k such that (2*k)!/(2*(k!)^2)+1 is prime.at n=37A112863
- Triangle read by rows: T(n, k) = binomial(n-1, k-1)*A008292(n, k).at n=46A141686
- Triangle read by rows: T(n, k) = binomial(n-1, k-1)*A008292(n, k).at n=53A141686
- Composite numbers n such that 8*n^2-2*n-1 divides the primitive part U(n) of Fibonacci(n).at n=17A159234
- Triangle T(n,k) read by rows: the coefficient [x^k] of the product_{s=1..n} (x+64*cos(s*Pi/(2n+1))^6), 0<=k<=n.at n=52A179838
- Number of (n+1)X(n+1) -5..5 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values.at n=6A211333
- L.g.f.: Sum_{n>=1} x^n/n * Sum_{k=0..n} binomial(n,k)^2 * x^k*(1-x)^(n-k).at n=15A217464
- Natural log radix 10 grafting integers.at n=2A231914
- Number of canyon polycubes of a given volume.at n=12A239257
- Numbers k such that anti-phi(k) = anti-phi(k+1).at n=41A241003
- a(n) = A000787(n) + 1.at n=35A259984
- Magic sums of 3 X 3 semimagic squares composed of triangular numbers.at n=41A265197
- Magic sums of 3 X 3 semimagic squares composed of positive triangular numbers.at n=36A269060
- Chebyshev coefficients of density of states of honeycomb lattice.at n=5A288456