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0012.js
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0012.js
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/*
The sequence of triangle numbers is generated by adding the natural numbers.
So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28
We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred (500) divisors?
*/
let utimoNumeroSomado = 0;
let numeroAtual = 0;
function gerarProximoNumero() {
numeroAtual++;
utimoNumeroSomado += numeroAtual;
return utimoNumeroSomado;
}
// função que retorna a quantidade de divisores de um número
function quantidadeDeDivisores(numero) {
let divisores = [];
for (let i = 2; i <= numero / 2; i++) {
if (numero % i == 0) {
divisores.push(i);
}
}
divisores.push(numero);
return divisores.length;
}
let encontrou = false;
while (encontrou == false) {
gerarProximoNumero();
if (quantidadeDeDivisores(utimoNumeroSomado) >= 500) {
encontrou = true;
console.log(utimoNumeroSomado);
}
}