17255
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 8665
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10752
- Möbius Function
- 1
- Radical
- 17255
- 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
- 234
- 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
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=23A013594
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=24A013594
- Numbers n such that the cyclotomic polynomial of order n has a nonzero coefficient which does not appear in any cyclotomic polynomials of lower order.at n=15A046887
- Numbers k such that A055079(k) = 2^k.at n=37A057838
- Numbers k such that k and k+1 have the same sum of unitary divisors (A034448).at n=28A064125
- Numbers k such that k and k+1 have the same sum of unitary divisors and the same number of divisors.at n=7A064348
- Number of two-rowed partitions of length 4.at n=31A070557
- Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n is neither a prime, nor a true power of prime and n is squarefree. Squarefree solutions of A071140.at n=19A071141
- Numbers n such that (i) the sum of the distinct primes dividing n is divisible by the largest prime dividing n and (ii) n has exactly 4 distinct prime factors and (iii) n is squarefree.at n=6A071143
- Squarefree numbers k such that the largest prime factor of k is equal to the sum of the other prime factors of k.at n=18A071312
- Numbers n such that the middle coefficient of the cyclotomic polynomial Phi_n(x) has a value not obtained for any smaller n.at n=11A095877
- Number of degeneracies on the sets of N ordinary trees with p vertices.at n=8A121222
- Smallest order of the cyclotomic polynomial whose maximal coefficient in absolute value is n.at n=24A136418
- Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) is not coefficient convex.at n=3A146960
- 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=29A153797
- Indices of records in heights of cyclotomic polynomials (A160338).at n=10A160340
- Odd long legs `B` of more than one primitive Pythagorean triangle.at n=30A179271
- a(n) = n*(14*n + 3).at n=35A195025
- Products p*q*r*s of distinct primes for which (p*q*r*s - 1)/2 is prime.at n=36A234498
- Number of length n+4 0..6 arrays with every five consecutive terms having the maximum of some two terms equal to the minimum of the remaining three terms.at n=1A254696