The Ultimate Confusing Sequence!

Number Theory Level 4

Find the next term in the sequence :

6, 8, 10, 14, ..... ?

Hint : Use divisors of the each term.


The answer is 15.

Anish Harsha by Anish Harsha , 20, India

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4 solutions

Anish Harsha
Nov 28, 2014

Each term in the given sequence contain 4 divisors. Hence the next term contain four divisors and such a number is 15.

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Also this is the sequence of numbers whose largest divisor less than or equal to its square root is exactly 2. That would give an answer of 22, since it's the next number satisfying those conditions.

Caleb Townsend - 6 years, 3 months ago

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Lol. 22 is the answer if you searched oeis.org. It comes up as the first result

Kp Govind - 6 years, 3 months ago

yes 22 can also be the answer according to Caleb Townsend

Veera Konabhai - 6 years, 3 months ago

If the hint wasn't there, I would have easily done it by 8/6, of which the whole no. is taken as the answer!

Vikram Venkat - 6 years, 3 months ago
Mahtab Hossain
Jun 11, 2015

After factoring every term, we will get exactly 4 factors. So the task is to find out the next term which has exactly 4 fectors and this is 15

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Easy one, actually the product of divisors of each number is the square of the given numbers in the sequence. Hence, the next number satisfying such condition is 15.

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Ankit Kumar Jain
Mar 15, 2015

Using the hint one could easily get the answer that every term has 4 divisors so 15.

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