17328
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 47244
- Proper Divisor Sum (Aliquot Sum)
- 29916
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5472
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 7
- 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
- 141
- 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
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=18A032444
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=37A032444
- Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of x.at n=22A050788
- Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y.at n=19A050789
- Number of solutions to n^2 < x^2 + y^2 + z^2 < (n+1)^2; number of lattice points between spheres of radii n and n+1.at n=37A078184
- Numbers k such that k * phi(k) is a cube.at n=28A114076
- Numbers k such that 2^(2*k) - (2*k-1) is prime.at n=16A119386
- a(n) = 12*n^2.at n=38A135453
- If p and q are twin primes then pq + 1 is always divisible by 3, except for (p,q)=(3,5). Sequence gives values of (pq + 1)/3.at n=14A165280
- Number of reduced 3 X 3 magilatin squares with largest entry n.at n=15A174018
- Number of triples (w,x,y) with all terms in {0,...,n} and w < floor((x+y)/3).at n=37A212971
- Number of compositions of n where differences between neighboring parts are in {-2,0,2}.at n=26A214253
- Integer areas of integer-sided triangles such that the distance between the incenter and the circumcenter is an integer.at n=22A231174
- Number of ballot sequences of length n with exactly 3 fixed points.at n=12A238978
- Number of compositions of n into exactly two different parts with distinct multiplicities.at n=17A242900
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 278", based on the 5-celled von Neumann neighborhood.at n=37A271097
- Number of n X 3 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.at n=11A275178
- Expansion of Product_{i>=1, j>=0} (1 + x^(i * 7^j)).at n=58A373221