17313
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
- 8
- Divisor Sum
- 24000
- Proper Divisor Sum (Aliquot Sum)
- 6687
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11088
- Möbius Function
- -1
- Radical
- 17313
- 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
- 53
- 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
- a(n)^2 is the smallest square containing exactly n 9's.at n=4A048354
- Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number.at n=35A118559
- Numbers n with property that average digit of n^2 is s=7.at n=14A164773
- Series inversion of A007296.at n=9A187111
- Principal diagonal of the convolution array A213781.at n=35A213782
- Number of 2-Abelian equivalence classes of words of length n over an alphabet of size 3.at n=13A289658
- Expansion of Product_{k>=1} (1 + k^k*x^k)^k.at n=5A295244
- a(n) = 27*n^2/2 + 45*n/2 - 12 (n>=1).at n=34A304375
- Numbers k such that the k-th triangular number is a binary palindrome.at n=38A350988
- Nonprime numbers k of the form 4*m+1 such that Sum_{j=0..k-1} 2^j * binomial(3*j, j) == 1 (mod k).at n=26A373747
- Positions of powerful terms among the numbers satisfying Euler's condition for odd perfect numbers (A228058).at n=7A388279