17310
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 41616
- Proper Divisor Sum (Aliquot Sum)
- 24306
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 1
- Radical
- 17310
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 172
- 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
- The generalized Conway-Guy sequence w^{0}.at n=16A006754
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=40A049355
- a(n) = n*(13*n^2 - 7)/6.at n=20A062025
- Numbers k such that usigma(k) is a square and sets a new record for such squares.at n=22A064443
- a(n) = n*(14*n^2 - 21*n + 13)/6.at n=20A071229
- Least positive integer with even digit sum in bases 2..n.at n=24A135738
- Least positive integer with even digit sum in bases 2..n.at n=25A135738
- Least positive integer with even digit sum in bases 2..n.at n=26A135738
- Least positive integer with even digit sum in bases 2..n.at n=27A135738
- Least positive integer with even digit sum in bases 2..n.at n=28A135738
- Least positive integer with even digit sum in bases 2..n.at n=29A135738
- Least positive integer with even digit sum in bases 2..n.at n=30A135738
- Least positive integer with even digit sum in bases 2..n.at n=31A135738
- Antidiagonal sums of A163280.at n=29A163983
- G.f.: A(x) = exp(Sum_{n>=1} A177430(n)*x^n/n) where A177430 is the least monotonically increasing logarithmic derivative consisting of only squares.at n=13A177432
- Number of isosceles right triangles on a 2n X (n+1) grid.at n=9A189894
- Triangle read by rows: T(n,k) is the number of functions f:{1,2,...,n}->{1,2,...,n} that have exactly k nonrecurrent elements mapped to some (one or more) recurrent element. n >= 1, 0 <= k <= n-1.at n=16A216971
- Numbers n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n.at n=41A229272
- Numbers k such that sum of divisors of k is a square and a triangular number (A000217). That is, numbers k such that A000203(k) is in A001110.at n=2A232847
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood.at n=30A270154