9346
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14022
- Proper Divisor Sum (Aliquot Sum)
- 4676
- 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
- 4672
- Möbius Function
- 1
- Radical
- 9346
- Omega Function (Ω)
- 2
- 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
- 60
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Partial sums of squares of Lucas numbers.at n=8A005970
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=18A020435
- Expansion of 1/((1-x)(1-5x)(1-11x)(1-12x)).at n=3A023948
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=34A024596
- 6th-order Vatalan numbers (generalization of Catalan numbers).at n=4A025759
- a(n) = T(2*n+1,n+1), T given by A026998.at n=8A027004
- a(n) = Lucas(n+2) - 3.at n=16A027961
- 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 96.at n=8A031594
- Numbers having four 2's in base 8.at n=6A043432
- Number of column convex polyominoes with n hexagonal cells.at n=7A059716
- Two-sided semiprimes: deleting any number of digits at left or at right, but not both, leaves a semiprime.at n=18A086698
- Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes.at n=20A090833
- Numbers k such that 6*k+5, 6*k+11, 6*k+17, 6*k+23 are consecutive primes.at n=10A090836
- Number of monomials in discriminant of symbolic principal (with two zeros coefficients by x^(n-1) and x^(n-2)) polynomial n degree.at n=9A138801
- G.f.: A(x) = exp( 2*Sum_{n>=1} A006519(n)^2 * x^n/n ), where A006519(n) = highest power of 2 dividing n.at n=16A162581
- Number of (n+1)X(n+1) 0..1 arrays with each 2X2 subblock determinant nonzero and the array of 2X2 subblock determinants symmetric under 90 degree rotation.at n=4A187525
- T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock determinant nonzero and the array of 2X2 subblock determinants symmetric under 90 degree rotation.at n=14A187528
- Triangular array: the self-fusion of (p(n,x)), where p(n,x)=sum{L(k+1)*x^(n-k) : 0<=k<=n}, where L=A000032 (Lucas numbers).at n=53A193965
- Mirror of the triangle A193965.at n=46A193966
- Expansion of x^5*(1 - x)^2*(4 - 14*x + 8*x^2 + 11*x^3 - 6*x^4 - 2*x^5 + 2*x^6 + 5*x^7 - 2*x^8 + x^9)/(1 - 2*x)^4.at n=14A212330