9116
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16632
- Proper Divisor Sum (Aliquot Sum)
- 7516
- 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
- 4368
- Möbius Function
- 0
- Radical
- 4558
- Omega Function (Ω)
- 4
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Strobogrammatic numbers: the same upside down.at n=35A000787
- Coordination sequence for CaF2(1), Ca position.at n=32A009923
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=73A036875
- Number of compositions (ordered partitions) of n into powers of 4.at n=30A087221
- G.f. satisfies A(x) = 1 + x*A(x)*f(x)^3, where f(x) = Sum_{k>=0} x^((4^k-1)/3).at n=10A087222
- a(n) = n*(5*n-3).at n=43A135706
- Numbers k such that k! - prime(k-1) is prime.at n=16A143713
- Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted.at n=16A166537
- Numbers that are the same upside down (using only digits 0, 1, 6 and 9).at n=20A169731
- Numbers m such that (6*m)^5 is a sum of a twin prime pair.at n=39A173560
- Number of distinct odd values of the (n-1)-st difference of permutations of 1..n.at n=10A174104
- Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m.at n=9A175356
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=24A180319
- Numbers without digit 0 or 5 whose "waterfall sequence" ends in 0,0,0,...at n=37A210614
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 403", based on the 5-celled von Neumann neighborhood.at n=23A271809
- Strobogrammatic nonpalindromic numbers.at n=18A287092
- a(n) = a(n-1) + sum of base-1000 digits of a(n-1), a(0)=1.at n=33A292568
- Fibonacci sequence beginning 2, 8.at n=16A294157
- Number of Carlitz compositions c of n such that the sequence of ascents and descents of c forms a Dyck path.at n=22A304778
- Number of nXn 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=5A317424