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Abundant number

Definition of the noun Abundant number

What does Abundant number mean as a name of something?

noun

  1. [number theory] A number that is less than the sum of all of its divisors except itself.

Explanation

Abundant number: 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. The integer 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. The number 12 has an abundance of 4, for example.

  • also known as 过剩数

Printed dictionaries and other books with definitions for Abundant number

Click on a title to look inside that book (if available):

Google previewThe Kingdom of Infinite Number (2001)

A Field Guide by Bryan Bunch

FIELD MARKS An abundant number is a whole number for which the sum of its divisors, not including the number itself, is greater than the number. The lowest abundant number is 12, since its proper divisors (excluding itself) are 1, 2, 3, 4, and ...

Google previewHow to Think About Analysis (2014)

by Lara Alcock

Definition: An abundant number is a positive integer n whose divisors add up to more than .

Google previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

See also ABUNDANCE, ABUNDANT NUMBER References Guy, R. K. "The Second Strong Law of Small Numbers." Math. Mag. 63, 3Á/0, 1990. Abundant Number An abundant number is an INTEGER n which is not a PERFECT NUMBER and ...

Google previewThe Mathematics of Egypt, Mesopotamia, China, India, and Islam (2007)

A Sourcebook by Victor J. Katz, Annette Imhausen

The two kinds related to the perfect number are the abundant number and the deficient number. The abundant number is a number such ...

Google previewMath Dictionary for Kids (2006)

The Essential Guide to Math Terms, Strategies, and Tables by Theresa R. Fitzgerald

Example: |+3| = 3 and |-3| = 3 Abundant Number A ...

Google previewEncyclopaedia Londinensis, or, Universal dictionary of arts, sciences, and literature (1810)

by John Wilkes (of Milland House, Sussex)

Abundant Number, in arithmetic, is a number, the sum of whose aliquot parts is greater than the number itself.

An abundant number is opposed to a deficient number, or that w hich is greater than all its aliquot parts taken together; as 14, ...

Google previewMathematics Illustrated Dictionary (2003)

Facts, Figures, and People by Jeanne Bendick

absolute value 15 abundant number or excessive number Larger measures use the mks (meter, kilogram, and second) system. absolute value. The absolute value of a number, whether it is positive or negative, is always positive. For example ...

Google previewThe Century Dictionary and Cyclopedia: The Century dictionary ... prepared under the superintendence of William Dwight Whitney ... rev. & enl. under the superintendence of Benjamin E. Smith (1911)

Abundant number, in arith., a number the sum of whose aliquot parts exceeds the number itself. Thus, 12 is an abundant number, ...

Google previewEncyclopaedia Metropolitana, Or, Universal Dictionary of Knowledge (1845)

Comprising the Twofold Advantage of a Philosophical and an Alphabetical Arrangement, with Appropriate Engravings by Edward Smedley, Hugh James Rose, Henry John Rose

ABUNDANT number, a number, the sum of whose aliquot parts exceeds the number itself. Thus 18 is an abundant number because 1, 2, 3, 6, and 9, its aliquot parts, are 21, or greater than that number. When the aliquot parts of any number ...

Google previewEncyclopaedia Metropolitana; Or, Universal Dictionary of Knowledge on an Original Plan Comprising the Twofold Advantage of a Philosophical and an Alphabetical Arrangement, with Appropriate Engravings Edited by Edward Smedley, Hugh James Rose, Henry John Rose (1845)

Miscellaneous and lexicographical, vol. 1

Thus l8 is an Abundant Number, because 1, 2, 3, 6. and 9, its aliquot parts, are 21, or greater than that number. When the aliquot parts of any number are ...

Google previewThe Century dictionary and cyclopedia (1906)

a work of universal reference in all departments of knowledge with a new atlas of the world by William Dwight Whitney, Benjamin Eli Smith

Abundant number. See abundant — Algebraic number, a root of an algebraic equation with whole numbers for its coefficients.— Alternate, amicable, apocalyptic, appllcate, artificial numbers. See the adjectives. — A number of, several; ...

Google previewThe Century dictionary (1906)

Seedcjinition— Abundant number, in arith., a number the sum of whose aliquot parts exceeds the number itself. Thus, 12 is an abundant number, for the sum of its ...

Google previewThe new encyclopædia; or, Universal dictionary ofarts and sciences (1807)

by Encyclopaedia Perthensis

An abundant number is opposed to a deficient number, or that which is greater than all its aliquot parts taken together; as 14, whose aliquot parts <pe, 1, z, and 7 , which make no more than jo: and to a perse fl number, or one to which its aliquot ...

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Video about Abundant number

Abundant number Meaning

Video shows what abundant number means. A number that is less than the sum of all of its divisors except itself.. abundant number synonyms: excessive ...

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