17247
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
- 4
- Divisor Sum
- 23000
- Proper Divisor Sum (Aliquot Sum)
- 5753
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11496
- Möbius Function
- 1
- Radical
- 17247
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 79
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 5).at n=50A035556
- G.f. A(x) satisfies A(x) = 1+Sum_{j=0 to infinity} ((1 + x^(j+1)*A(x))^a_j-1).at n=10A061815
- a(1) = 1, a(2) = 2; then a(n) = smallest number such that there are a(n-1) composite numbers between a(n) and a(n+1) exclusive.at n=17A082281
- Number of numbers with 6 decimal digits and sum of digits = n.at n=16A090581
- Number of numbers with 6 decimal digits and sum of digits = n.at n=37A090581
- Numbers of the form 86+p^2 (where p is a prime).at n=31A138692
- a(n) = 784*n - 1.at n=21A158399
- a(n) = 22*n^2 - 1.at n=27A158540
- Number of permutations of 1..n with displacements restricted to {-4,0,1,2,3}.at n=14A189584
- a(n) = [x^n] Product_{k=0..n} (1 + k*x)^3.at n=4A384012