9654
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19320
- Proper Divisor Sum (Aliquot Sum)
- 9666
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3216
- Möbius Function
- -1
- Radical
- 9654
- Omega Function (Ω)
- 3
- 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
- 104
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=41A017845
- [ exp(13/20)*n! ].at n=6A030854
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 98.at n=2A031596
- Squarefree n such that the elliptic curve n*y^2 = x^3 - x arising in the "congruent number" problem has rank 3.at n=14A062693
- Numbers n such that |real(zeta(1/2 + n*I))| exceeds all previous values, where zeta is the Riemann zeta function.at n=20A079630
- a(n) = 4*a(n-1) + a(n-2), n>=2, a(0) = 2, a(1) = 7.at n=6A097924
- INVERT transform of A000055.at n=12A157904
- Number of labeled split graphs on n vertices.at n=5A179534
- Number of right triangles on an (n+1) X 5 grid.at n=17A189809
- Number of (n+1)X3 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.at n=3A205469
- Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.at n=1A205471
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.at n=11A205475
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.at n=13A205475
- G.f.: Product_{n>0} ( (1+x^n)/(1-x^n) )^(n^2).at n=8A206622
- The values of k in A220141.at n=34A220142
- The values of k in A220143.at n=37A220144
- Number of (n+1) X (2+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=4A253489
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=19A253495
- Number of (5+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A253499
- a(n) is the smallest k such that the following are four primes: prime(n)*k-1, prime(n)*k+1, prime(n)*k^2-1, prime(n)*k^2+1. Or -1 if no such k exists.at n=48A266239