In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. 12 has an abundance of 4, for example.
Read more about Abundant Number: Definition, Examples, Properties, Related Concepts
Famous quotes containing the words abundant and/or number:
“The ideas of an age are most abundant where they are not crowded by original ideas.”
—Franz Grillparzer (1791–1872)
“The two great points of difference between a democracy and a republic are: first, the delegation of the government, in the latter, to a small number of citizens elected by the rest; secondly, the greater number of citizens and greater sphere of country over which the latter may be extended.”
—James Madison (1751–1836)