17266
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26460
- Proper Divisor Sum (Aliquot Sum)
- 9194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8448
- Möbius Function
- -1
- Radical
- 17266
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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) = (5*n + 1)^2 + 4*n + 1.at n=26A007533
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=37A013643
- Triangle read by rows giving number of arrangements of k dumbbells on 2 X n grid (n >= 0, k >= 0).at n=60A046741
- Sixth column of A046741.at n=5A062126
- a(n) = 2*prime(n)*prime(n+1).at n=23A069486
- Tribonacci numbers that start with first three cubes.at n=13A086213
- a(n) = Sum_{k = 0..n} 3^k*A085707(n,k).at n=5A094408
- a(n) = 25*n^2 - 36*n + 13.at n=27A154355
- Numbers k such that A(k+1) = A(k) + 1, where A() = A005101() are the abundant numbers.at n=14A169822
- Beach-Williams Pell numbers of type 2pq (p,q primes).at n=3A212075
- Number of (7+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=13A250661
- Expansion of Product_{k>=1} 1/(1 - x^k * (1 - x)).at n=40A306749
- a(n) is the cardinality of S(n), the subset of partitions of n such that there are enough smaller parts to add together to be greater than a larger part.at n=35A338085
- a(1) = 12; for n >= 2, a(n) = least positive integer of the form prime(m)*prime(n-m)*prime(n) with m >= 1.at n=24A364434