9636
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24864
- Proper Divisor Sum (Aliquot Sum)
- 15228
- 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
- 4818
- Omega Function (Ω)
- 5
- 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
- 122
- 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 4-ary rooted trees with n nodes and height at most 8.at n=13A036613
- a(n) = C(n)*(12n+1) where C(n) = Catalan numbers (A000108).at n=6A050491
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=23A068540
- Long leg of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=13A089548
- a(n) = binomial(n,4) - binomial(floor(n/2),4) - binomial(ceiling(n/2),4).at n=24A111385
- Numbers k such that 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)-1 and 6*p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)+1 are twin primes with p(h) = h-th prime.at n=25A129310
- Padovan-like sequence; a(0)=2, a(1)=1, a(2)=1, a(n) = a(n-2) + a(n-3).at n=33A141038
- Shifts 4 places left under Dirichlet convolution.at n=54A144368
- Numbers k such that 3^k + 3^4 + 1 is prime.at n=18A168170
- Number of genus 1 unsensed hypermaps with n darts.at n=7A214822
- Number of distinct values of the sum of i^2 over 8 realizations of i in 0..n.at n=35A225275
- Sum of positive ranks of all overpartitions of n.at n=18A236001
- Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=18A253218
- Nonnegative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared.at n=29A257867
- Numbers n such that n*2^521 - 1 is prime.at n=36A265498
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 324", based on the 5-celled von Neumann neighborhood.at n=35A271257
- List of numbers k whose consecutive digits increase or decrease by d-1, where d is the number of digits in k.at n=80A292439
- Positive integers that have exactly eight representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.at n=31A317398
- Expansion of Product_{k=1..16} theta_3(q^k), where theta_3() is the Jacobi theta function.at n=29A320247
- a(1) = 1; a(n) = Sum_{d|n, d < n} phi(n/d) * d * a(d).at n=35A326824