17190
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
- 24
- Divisor Sum
- 44928
- Proper Divisor Sum (Aliquot Sum)
- 27738
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4560
- Möbius Function
- 0
- Radical
- 5730
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- 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
- Numbers k such that sum of divisors of k^2 is a square.at n=7A008847
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=40A014302
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=50A017854
- Least term in period of continued fraction for sqrt(n) is 9.at n=16A031433
- Numerators of continued fraction convergents to sqrt(802).at n=5A042546
- Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists.at n=42A090530
- Triangle read by rows: number of atomic set compositions of size n and length k (see description in A095989) 1 <= k <= n.at n=38A109062
- A binomial recursion : a(n) = p(n) (see formula).at n=5A135147
- Triangle formed by coefficients of the expansion of p(x,n) = (1-x)^(2*n + 1)*Sum_{j >= 0} (1 +j +j^2)^n * x^j.at n=20A156985
- Coefficients of infinite sum polynomials; p(x,n)=If[Mod[n, 2] == 1, (1 - x)^(n + 1)*Sum[(k + 1)*(1 + k + k^2)^Floor[(n - 1)/2]* x^k, {k, 0, Infinity}], (1 - x)^(n + 1)*Sum[(1 + k + k^2)^Floor[n/2]*x^ k, {k, 0, Infinity}]].at n=36A169625
- a(n) = n*n in the arithmetic where digits are multiplied in base 10 (as usual) but when digits are to be added they are also multiplied in base 10.at n=33A169920
- Averages of twin prime pairs of the form : sum of two or more consecutive squares.at n=14A174716
- Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| > w+x+y.at n=39A213486
- Number of n X 2 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors.at n=10A231376
- Numbers n such that n is both the average of some twin prime pair p, q (q = p+2) (i.e., n = p+1 = q-1) and is also the arithmetic mean of the four numbers consisting of the two primes before p and the two primes after q.at n=28A256620
- Coefficients in Molien series for 5-dimensional faithful representation of Horrocks-Mumford group G_{HM}.at n=37A258702
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood.at n=34A271252
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s.at n=47A297544
- Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s.at n=7A297546
- Table read by antidiagonals: T(n, k) is the sum of the numbers inside the k-th square of size n X n when the square spiral is tiled with these squares, where each tile contains numbers which sum to the minimum possible value, and each number on the spiral can only be in one tile.at n=52A341363