17055
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29640
- Proper Divisor Sum (Aliquot Sum)
- 12585
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9072
- Möbius Function
- 0
- Radical
- 5685
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- no
- 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
- Denominators of continued fraction convergents to sqrt(951).at n=11A042841
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=27A049355
- Integers k that divide LS(k), where LS is the "Look and Say" function (A045918).at n=24A079342
- Integers k such that k divides LS(k) or LS(k) divides k, where LS is the "Look and Say" function (A045918).at n=26A110744
- G.f. A(x) satisfies: A(x) = 1 + x*A(9x)^(1/3).at n=4A135866
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=21A208182
- Number of 0..6 arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..6 order.at n=8A212827
- Number of possible states when placing n tokens of 2 alternating types on 3 piles.at n=11A320731
- a(n) is the number of positive integers k for which Sum_{i=1..j} (p_i+e_i) = n, where p_1^e_1*...*p_j^e_j is the prime factorization of k.at n=41A382330
- Expansion of e.g.f. 1/(1 - 2 * x * cosh(x))^(1/2).at n=6A385308