The Plastic Brain

6 digit numbers and the power of 4

Leave a comment

Reblogged from thinktoaction:

Posted in Science & Math by Greg Ross on November 7th, 2010

2 + 4 + 0 + 1 = 7; 74 = 2401
2+ 3 + 4 + 2 + 5 + 6 = 22; 224 = 234256
3 + 9 + 0 + 6 + 2 + 5 = 25; 254 = 390625
6 + 1 + 4 + 6 + 5 + 6 = 28; 284 = 614656
1 + 6 + 7 + 9 + 6 + 1 + 6 = 36; 364 = 1679616

An interesting pattern where the sum of the digits of particular six digit number raised to the power of fours is equal to that 6 digit number.  Questions that might be asked with students – why does this work for these particular numbers?  Is it a coincedence and/or peculiarity?  Would this work for all six digit numbers?  How do you know?

6 digit numbers and the power of 4

Advertisements

Author: Rogan Tinsley

Biology, science and maths teacher with a PhD in Neuroscience and passion for education.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s