#### Figurate Number

P
```/**
Problem Statement and Explanation :
Triangular  => https://en.wikipedia.org/wiki/Triangular_number
Tetrahedral => https://en.wikipedia.org/wiki/Tetrahedral_number
Pentatope   => https://en.wikipedia.org/wiki/Pentatope_number

Example:
Triangular  => (0, 1, 3, 6, 10, 15, 21, 28, 36, 45)
Tetrahedral => (1, 4, 10, 20, 35, 56, 84, 120, 165,)
Pentatope   => (1, 5, 15, 35, 70, 126, 210, 330, 495)
*/

/**
*
* @param {*} number
* @returns
*/
const isTriangular = (number) => {
for (let i = 0; i <= number; i++) {
if ((i * (i + 1)) / 2 === number) {
return true
} else if ((i * (i + 1)) / 2 > number) {
return false
}
}
return false
}

/**
*
* @param {*} number
* @returns
*/
const isTetrahedral = (number) => {
for (let i = 1; i <= number; i++) {
if ((i * (i + 1) * (i + 2)) / 6 === number) {
return true
} else if ((i * (i + 1) * (i + 2)) / 6 > number) {
return false
}
}
return false
}
/**
*
* @param {*} number
* @returns
*/
const isPentatope = (number) => {
for (let i = 1; i <= number; i++) {
if ((i * (i + 1) * (i + 2) * (i + 3)) / 24 === number) {
return true
} else if ((i * (i + 1) * (i + 2) * (i + 3)) / 24 > number) {
return false
}
}
return false
}

/**
*
* @param {*} number
* @returns
*/
const checkAll = (number) => {
return {
isTriangular: isTriangular(number),
isTetrahedral: isTetrahedral(number),
isPentatope: isPentatope(number)
}
}
export { isTriangular }
export { isTetrahedral }
export { isPentatope }
export { checkAll }
```