17424
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 45
- Divisor Sum
- 53599
- Proper Divisor Sum (Aliquot Sum)
- 36175
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- Smith Number
- yes
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Squares of Catalan numbers.at n=6A001246
- a(n) = C(floor(n/2 + 1/2))*C(floor(n/2 + 1)) where C(i) = Catalan numbers A000108.at n=11A005817
- a(n) = n*(n+1)^2/2.at n=32A006002
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=46A008233
- a(n) = (3*n)^2.at n=44A016766
- a(n) = (4*n)^2.at n=33A016802
- a(n) = (5*n + 2)^2.at n=26A016874
- a(n) = (6*n)^2.at n=22A016910
- a(n) = (7*n + 6)^2.at n=18A017054
- a(n) = (8*n + 4)^2.at n=16A017114
- a(n) = (9*n + 6)^2.at n=14A017234
- a(n) = (10*n + 2)^2.at n=13A017294
- a(n) = (11*n)^2.at n=12A017390
- a(n) = (12*n)^2.at n=11A017522
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=46A019450
- Specific heat coefficients for square lattice spin 3 Ising model.at n=32A030122
- Quarter-squares squared: A002620^2.at n=23A030179
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=32A032444
- a(n) = n^3 * Product_{p|n, p prime} (1 + 1/p).at n=21A033196
- Number of ways to place a non-attacking white and black rook on n X n chessboard.at n=11A035287