9508
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16646
- Proper Divisor Sum (Aliquot Sum)
- 7138
- 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
- 4752
- Möbius Function
- 0
- Radical
- 4754
- 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
- 52
- 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 cyclic Steiner triple systems of order 2n+1.at n=21A002885
- (n,3,1) difference families over Z_n.at n=36A011991
- Number of 1's in n-th term of A006711.at n=34A022477
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=28A031822
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=37A053020
- Numbers which need eight 'Reverse and Add' steps to reach a palindrome.at n=39A065213
- Indices of primes in sequence defined by A(0) = 39, A(n) = 10*A(n-1) - 61 for n > 0.at n=13A101831
- Diagonal sums of number array A107249.at n=16A107250
- Expansion of Molien series for 16-dimensional real Clifford group C_4 of genus 4 and order 178362777600.at n=26A110160
- 3*Volume of the root-n Waterman polyhedron as defined in A119870.at n=43A119873
- Number of reduced, normalized 3 X 3 semimagic squares with distinct nonnegative integer entries and maximum entry n.at n=46A173724
- Number of partitions of n where the difference between consecutive parts is at most 7.at n=34A238867
- Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7.at n=5A252186
- Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7.at n=1A252190
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7.at n=22A252192
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7.at n=26A252192
- Numbers n representable as x*y + x + y, where x >= y > 1, such that all x's and y's in all representation(s) of n are perfect squares.at n=21A258366
- a(n) is the period of the oscillating pattern formed by a diagonal line of 2*n cells in the Life-like cellular automaton B2e3ijkn4cz5/S236.at n=55A323382
- Array read by antidiagonals: T(n,k) (n>=1, k>=1) = number of ways to select four points from an n X k grid so that they form a convex quadrilateral.at n=57A334711
- Array read by antidiagonals: T(n,k) (n>=1, k>=1) = number of ways to select four points from an n X k grid so that they form a convex quadrilateral.at n=63A334711