17710
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 41472
- Proper Divisor Sum (Aliquot Sum)
- 23762
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- -1
- Radical
- 17710
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- 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
- a(n) = Fibonacci(n) - 1.at n=21A000071
- Fibonacci(n) - (-1)^n.at n=21A007492
- Pisot sequence T(4,7).at n=17A020732
- Theta series of A*_22 lattice.at n=38A023934
- Duplicate of A035508.at n=10A027418
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=40A032246
- Multiplicity of highest weight (or singular) vectors associated with character chi_61 of Monster module.at n=39A034449
- a(n) = 2*binomial(n,4).at n=23A034827
- a(n) = Fibonacci(2*n+2) - 1.at n=10A035508
- Matrix 10th power of partition triangle A008284.at n=29A050304
- Generalized sum of divisors function: third diagonal of A060044.at n=41A060045
- Numbers that are Fibonacci numbers plus or minus 1.at n=38A061489
- a(n) = lcm(n, n+1, n+2, n+3, n+4) / 60.at n=20A067048
- Third level generalization of Catalan triangle (0th level is Pascal's triangle A007318; first level is Catalan triangle A009766; 2nd level is A069269).at n=34A069270
- a(n) = binomial(4*n+1,n)*2/(3*n+2).at n=6A069271
- n for which there is a chain (or permutation) of the numbers from 1 to n for which each adjacent pair sums to a Fibonacci number.at n=38A079734
- Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k^2.at n=9A080395
- a(n) = Fibonacci(4n+2) - 1, or Fibonacci(2n)*Lucas(2n+2).at n=5A081008
- Length of lists created by n substitutions k -> Range[k+1,1,-3] starting with {1}, counting down from k+1 to 1 step -3.at n=18A084080
- a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1.at n=40A096338