17605
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 6587
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12048
- Möbius Function
- -1
- Radical
- 17605
- Omega Function (Ω)
- 3
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Indices of primes in sequence defined by A(0) = 23, A(n) = 10*A(n-1) + 33 for n > 0.at n=22A101964
- Potential magic constants of 9 X 9 magic squares composed of consecutive primes.at n=31A191679
- a(n) = n*(14*n + 13).at n=35A195028
- a(n) = n + floor( n^2/2 + n^3/3 ).at n=37A236773
- a(n) = 24*n^2 + 52*n + 29.at n=26A258721
- Expansion of 1/((1-x)*(1-2*x^2)*(1-3*x^3)*(1-4*x^4)*(1-5*x^5)).at n=17A291988
- Number of nX4 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=10A300346
- a(n) = Sum_{k=0..n} floor(sqrt(k))^4.at n=41A363498