1.3 KiB
1.3 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f38a1000cf542c50fe9d | Problem 30: Digit n powers | 5 | 301953 | problem-30-digit-n-powers |
--description--
Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 14 + 64 + 34 + 44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44
As 1 = 14 is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of n
powers of their digits.
--hints--
digitnPowers(2)
should return a number.
assert(typeof digitnPowers(2) === 'number');
digitnPowers(2)
should return 0.
assert(digitnPowers(2) == 0);
digitnPowers(3)
should return 1301.
assert(digitnPowers(3) == 1301);
digitnPowers(4)
should return 19316.
assert(digitnPowers(4) == 19316);
digitnPowers(5)
should return 443839.
assert(digitnPowers(5) == 443839);
--seed--
--seed-contents--
function digitnPowers(n) {
return n;
}
digitnPowers(5);
--solutions--
// solution required