17400
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 55800
- Proper Divisor Sum (Aliquot Sum)
- 38400
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- 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 ways of writing n as a sum of 6 squares.at n=34A000141
- Maximal kissing number of n-dimensional laminated lattice.at n=20A002336
- Theta series of D_6 lattice.at n=17A008428
- Coordination sequence for MgZn2, Position Zn2.at n=33A009938
- Theta series of laminated lattice LAMBDA_20.at n=2A023942
- Posets with n points with property that there is no nonsingelton proper subset T for which x not in T implies x<T or x>T or x incomparable with every element of T.at n=6A046905
- Number of staircase polygons of perimeter 2n with any number of (staircase polygon) holes on square lattice (not allowing rotations).at n=9A057413
- Numbers k such that prime(k+1)^2 == prime(k)^2 (mod k).at n=30A067783
- Aliquot sequence starting at 1521.at n=8A074906
- Numbers k such that sopfr(k)=tau(k).at n=31A078511
- Round(1000*x), where x is the solution to x = 3^(n-x).at n=20A103537
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and having sum of the heights of its pyramids equal to k (a pyramid is a sequence u^pd^p or U^pd^(2p) for some positive integer p, starting at the x-axis; p is the height of the pyramid).at n=53A109157
- Numbers k such that 1*k + 1, 3*k + 1, 9*k + 1, 27*k + 1 are all primes.at n=20A112041
- Number of partitions of n having exactly 1 part that appears exactly once.at n=46A116596
- Coefficients of the v=1 member of a family of certain orthogonal polynomials.at n=24A130182
- Fourth column (m=3) of triangle A130182.at n=3A130186
- Matrix square of triangle T = A141712, where the n-th diagonal of T equals the BINOMIAL transform of the (n-1)-th diagonal of T^2.at n=22A141715
- Column 1 of triangle A141715.at n=5A141716
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 0110-0110-1111 pattern in any orientation.at n=15A147355
- a(n) = 121*n^2 - 2*n.at n=11A157040