17298
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 38727
- Proper Divisor Sum (Aliquot Sum)
- 21429
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5580
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 5
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=43A026103
- T(2n+2, n), where T is the array in A055830.at n=6A055836
- Engel expansion of Sum_{k>=0} 1/(6 + k)^k.at n=12A063189
- Records in A065925.at n=22A065927
- Even refactorable numbers k such that the number r of odd divisors of k and the number s of even divisors of k are both odd divisors of k.at n=16A120361
- Row sums of triangle A132789.at n=9A132790
- Numbers k such that k/A000005(k) is a square.at n=42A145450
- Triangle read by rows, A007318 * A153198.at n=53A153199
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 3,0 3,1 4,0 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155307
- a(n) = 729*n - 198.at n=23A156772
- Non-deficient numbers with odd sigma such that the sum of the even divisors is twice the sum of the odd divisors.at n=18A171642
- Number of n X n symmetric binary matrices with each 1 adjacent to exactly 2 horizontally or vertically neighboring 1s.at n=7A191293
- a(n) = 18*n^2.at n=31A195321
- Positive integers n that are equal to the determinant of the circulant matrix formed by the binary digits of n.at n=1A219325
- a(n) = smallest number greater than n, equal to the determinant of the circulant matrix formed by its base-n digits.at n=0A219357
- Number of n X 3 arrays with each row a permutation of 1..3 having at least as many downsteps as the preceding row, with rows in lexicographically nonincreasing order.at n=44A222001
- Numbers k such that (112*10^k + 17)/3 is prime.at n=25A273063
- Triples of practical numbers: numbers n such that n-2, n, n+2 are all practical numbers.at n=20A287682
- 5-tuples of practical numbers: numbers n such that n-6, n-2, n, n+2, n+6 are all practical numbers.at n=8A287683
- Irregular table read by rows: T(n,k) is the start of the first run of exactly k consecutive even integers having exactly n divisors, or 0 if no such run exists.at n=30A325117