17098
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 9110
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8364
- Möbius Function
- -1
- Radical
- 17098
- 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
- 66
- 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
- Even heptagonal numbers (A000566).at n=41A014640
- Numbers k such that 237*2^k+1 is prime.at n=14A032495
- a(n) = (2*n + 1)*(5*n + 1).at n=41A033571
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=36A054572
- McKay-Thompson series of class 39C for Monster.at n=49A058661
- Numbers k such that k^2 is the sum of the first m primes for some m.at n=3A061888
- Numbers in ascending order formed by using all the digits of the next n numbers.at n=16A081991
- Number of subsets A of {1..n} such that there are no solutions to a+b+c=d for a,b,c,d in A.at n=19A093970
- McKay-Thompson series of class 39C for the Monster group with a(0) = 1.at n=49A094362
- Heptagonal numbers for which the digital root is also a heptagonal number.at n=38A117663
- Number of 0..n arrays x(0..10) of 11 elements with zero 5th differences.at n=46A200373
- Number of lattice points in the closed region bounded by the graphs of y = (5/6)*x^2, x = n, and y = 0, excluding points on the x-axis.at n=38A227347
- a(n) = Catalan(n) mod Fibonacci(n).at n=25A246846
- a(n) = 1 + Sum_{d|n, d > 1} d^2*a(n/d).at n=43A307607
- Expansion of Product_{k>=1} 1/(1 + x^k)^(k-1).at n=48A319109
- Heptagonal numbers (A000566) with prime indices (A000040).at n=22A346494
- Heptagonal numbers which are products of three distinct primes.at n=15A356422