17214
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 36480
- Proper Divisor Sum (Aliquot Sum)
- 19266
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5400
- Möbius Function
- 1
- Radical
- 17214
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- 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
- Simple triangulations of a disk: column 4 of square array in A210664.at n=9A004305
- Coordination sequence for alpha-Mn, Position Mn2.at n=34A009951
- a(n) = 3*n*(4*n-1).at n=38A062783
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=41A089551
- Column 4 of triangle A091602.at n=43A091607
- Number of (undirected) Hamiltonian cycles on a triangular grid, n vertices on each side.at n=6A112676
- The LCM of the n-th row of the triangle of Eulerian numbers, A008292.at n=6A180057
- The index of the first of two consecutive positive triangular numbers (A000217) the sum of which is equal to the sum of eleven consecutive positive triangular numbers.at n=4A262491
- Numbers k such that (23*10^k + 91)/3 is prime.at n=27A271645
- Sum of the squares of the parts in the partitions of n into two distinct parts.at n=37A294286
- a(n) = 81*n^2 - 69*n + 24.at n=15A304616
- The number of tiles inside a regular n-gon created by diagonals that run from each of the n vertices to the n-2 midpoints of opposite edges.at n=16A320422
- Products of consecutive terms of the Padovan sequence A000931.at n=23A329227
- Number of partitions of n into an even number of parts such that the set of even parts has only one element.at n=49A341494
- Number of partitions of n with exactly one repeated part and that part is odd.at n=49A341497
- Coefficient of x^n in the expansion of ( (1+x)^2 * (1+x+x^3)^2 )^n.at n=5A370187