9328
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 20088
- Proper Divisor Sum (Aliquot Sum)
- 10760
- 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
- 4160
- Möbius Function
- 0
- Radical
- 1166
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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 ways of writing n as a sum of 8 squares.at n=8A000143
- Theta series of D_8 lattice.at n=4A008430
- a(n) = b(n) - c(n) where b(n) is the n-th Lucas number greater than 3 and c(n) is the n-th number not in sequence b( ).at n=16A014252
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=40A015988
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=26A028589
- Fourier coefficients of E_{0,4}.at n=8A035016
- a(n) = Sum_{i=0..n} T(i,n-i) where T is A049627.at n=44A049628
- Number of ordered factorizations with 2 levels of parentheses indexed by prime signatures.at n=28A050357
- Number of nonnegative integer 3 X 3 matrices with sum of elements equal to n, under row and column permutations.at n=14A052365
- Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=26A053596
- Number of 2-trees rooted at a triangle with two similar edges.at n=13A063692
- Numbers which need eight 'Reverse and Add' steps to reach a palindrome.at n=35A065213
- Number of ways of writing n as a sum of n squares.at n=8A066535
- Difference between larger and smaller terms of n-th amicable pair.at n=34A066539
- Numbers n such that sopf(phi(n)) = phi(sopf(n)), where sopf(x) = sum of the distinct prime factors of x.at n=28A076531
- a(1)=1, a(n) = a(n-1) + n^3 if n odd, a(n) = a(n-1) + n^5 if n is even.at n=6A140156
- Numbers m such that m and m+22 have the same sum of divisors.at n=34A172333
- a(1)=4. a(n+1) = a(n)+d-1, where d is the smallest prime divisor of (a(n)-1)*(a(n)+1).at n=41A177929
- Difference A063990(2n)-A063990(2n-1) between amicable numbers.at n=32A178542
- Array read by antidiagonals: T(n,k) = number of n-step knight's tours on a (k+2)X(k+2) board summed over all starting positions.at n=32A186851