9352
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 10808
- 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
- 3984
- Möbius Function
- 0
- Radical
- 2338
- Omega Function (Ω)
- 5
- 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
- 60
- 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
- n^4*a(n) is the number of spheres in complex projective space tangent to 4 smooth surfaces of degree n in general position.at n=2A030654
- 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 23.at n=39A031521
- Theta series of A2[hole]^4.at n=29A033690
- Product of n-th prime number and n-th composite number.at n=38A067563
- Convolution triangle of A002605(n) (generalized (2,2)-Fibonacci), n>=0.at n=49A073387
- Fourth convolution of A002605(n) (generalized (2,2)-Fibonacci), n >= 0, with itself.at n=5A073391
- Erroneous version of A358890.at n=6A079749
- Expansion of q^(-1/6) * eta(q^2)^3 / eta(q)^2 in powers of q.at n=47A085140
- a(n) = the smallest number x >= 2 such that for m = x to x + n - 1, A006530(m) increases.at n=6A100384
- Real part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=19A102531
- a(n) = 2*n*(6*n-1).at n=28A126964
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, 1), (1, -1, 1), (1, 1, 0)}.at n=8A149167
- Coefficients in the expansion of C^3/B^4, in Watson's notation of page 106.at n=10A160463
- Number of regular octahedra that can be formed using the points in an (n+1)X(n+1)X(n+1) lattice cube.at n=12A178797
- Smallest k such that sopf(k)<=sopf(k+1)<=...<=sopf(k+n).at n=5A189882
- Triangle of coefficients of polynomials u(n,x) jointly generated with A208760; see the Formula section.at n=50A208759
- a(n) = Sum_{i=0..n} digsum_8(i)^4, where digsum_8(i) = A053829(i).at n=14A231683
- Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one.at n=4A231704
- Number of (n+1)X(5+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one.at n=1A231707
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one.at n=16A231710