JavaScript: Check a number is Sastry number or not

JavaScript Math: Exercise-87 with Solution

Check Sastry Number

Write a JavaScript program that checks whether a number (positive integer) is a Sastry number or not.

The number N is a Sastry number when it is concatenated with N+1 and gives a perfect squares. Some Sastry numbers are 183, 328, 528, 715, 6099, 13224, 40495, 106755, 453288, 2066115, 2975208, 22145328, 28027683, 110213248...

Test Data:
(27) -> false
(328) -> true
(28027683) -> true

Sample Solution:

JavaScript Code:

/**
 * Function to check if a number is a Sastry number or not.
 * @param {number} n - The input number.
 * @returns {boolean} - True if the number is a Sastry number, false otherwise.
 */
function test(n){
    // Concatenate n with n+1 and convert it to a string, then find the square root and check if it's an integer
	return Number.isInteger(Math.sqrt(`${n}${n + 1}`));
}
// Test cases
// Assign value to n
n = 27;
// Print the original number
console.log("Original number: " + n);
// Check if the number is a Sastry number and print the result
console.log("Check the said number is Sastry number or not: " + test(n));
// Repeat the above steps for different values of n
n = 328;
console.log("Original number: " + n);
console.log("Check the said number is Sastry number or not: " + test(n));
n = 28027683;
console.log("Original number: " + n);
console.log("Check the said number is Sastry number or not: " + test(n));

Output:

Original string: 27
Check the said number is Sastry number or not: false
Original string: 328
Check the said number is Sastry number or not: true
Original string: 28027683
Check the said number is Sastry number or not: true

Flowchart:

Live Demo:

See the Pen javascript-math-exercise-87 by w3resource (@w3resource) on CodePen.

For more Practice: Solve these Related Problems:

• Write a JavaScript function that checks if a number is Sastry by concatenating it with its successor and testing if the result is a perfect square.
• Write a JavaScript function that computes the concatenated number of N and N+1, then determines if it is a perfect square.
• Write a JavaScript function that validates the input and handles non-integer values when checking for Sastry numbers.
• Write a JavaScript function that optimizes the Sastry number test by using integer arithmetic to approximate the square root.

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