17517
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 23360
- Proper Divisor Sum (Aliquot Sum)
- 5843
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11676
- Möbius Function
- 1
- Radical
- 17517
- 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
- 216
- 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
- Weighted count of partitions with distinct parts.at n=38A005895
- a(n) = (d(n)-r(n))/2, where d = A026046 and r is the periodic sequence with fundamental period (0,1,0,1).at n=43A026047
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 88.at n=31A031586
- Numbers whose base-4 representation has exactly 8 runs.at n=16A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=37A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=16A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=16A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=16A043875
- Triangular array read by rows. T(n,k) is the number of convergent Boolean relation matrices on [n] containing exactly k strongly connected components, n>=0, 0<=k<=n.at n=12A365547
- Dot product of the first n primes and the first n triangular numbers.at n=13A378493
- a(n) = A379597(n) - A381710(n).at n=45A381711