'Abundant number' definitions:

Definition of 'Abundant number'

From: GCIDE
  • Number \Num"ber\ (n[u^]m"b[~e]r), n. [OE. nombre, F. nombre, L. numerus; akin to Gr. no`mos that which is dealt out, fr. ne`mein to deal out, distribute. See Numb, Nomad, and cf. Numerate, Numero, Numerous.]
  • 1. That which admits of being counted or reckoned; a unit, or an aggregate of units; a numerable aggregate or collection of individuals; an assemblage made up of distinct things expressible by figures. [1913 Webster]
  • 2. A collection of many individuals; a numerous assemblage; a multitude; many. [1913 Webster]
  • Ladies are always of great use to the party they espouse, and never fail to win over numbers. --Addison. [1913 Webster]
  • 3. A numeral; a word or character denoting a number; as, to put a number on a door. [1913 Webster]
  • 4. Numerousness; multitude. [1913 Webster]
  • Number itself importeth not much in armies where the people are of weak courage. --Bacon. [1913 Webster]
  • 5. The state or quality of being numerable or countable. [1913 Webster]
  • Of whom came nations, tribes, people, and kindreds out of number. --2 Esdras iii. 7. [1913 Webster]
  • 6. Quantity, regarded as made up of an aggregate of separate things. [1913 Webster]
  • 7. That which is regulated by count; poetic measure, as divisions of time or number of syllables; hence, poetry, verse; -- chiefly used in the plural. [1913 Webster]
  • I lisped in numbers, for the numbers came. --Pope. [1913 Webster]
  • 8. (Gram.) The distinction of objects, as one, or more than one (in some languages, as one, or two, or more than two), expressed (usually) by a difference in the form of a word; thus, the singular number and the plural number are the names of the forms of a word indicating the objects denoted or referred to by the word as one, or as more than one. [1913 Webster]
  • 9. (Math.) The measure of the relation between quantities or things of the same kind; that abstract species of quantity which is capable of being expressed by figures; numerical value. [1913 Webster]
  • Abstract number, Abundant number, Cardinal number, etc. See under Abstract, Abundant, etc.
  • In numbers, in numbered parts; as, a book published in numbers. [1913 Webster]

Definition of 'abundant number'

From: GCIDE
  • Imperfect \Im*per"fect\, a. [L. imperfectus: pref. im- not + perfectus perfect: cf. F imparfait, whence OE. imparfit. See Perfect.]
  • 1. Not perfect; not complete in all its parts; wanting a part; deective; deficient. [1913 Webster]
  • Something he left imperfect in the state. --Shak. [1913 Webster]
  • Why, then, your other senses grow imperfect. --Shak. [1913 Webster]
  • 2. Wanting in some elementary organ that is essential to successful or normal activity. [1913 Webster]
  • He . . . stammered like a child, or an amazed, imperfect person. --Jer. Taylor. [1913 Webster]
  • 3. Not fulfilling its design; not realizing an ideal; not conformed to a standard or rule; not satisfying the taste or conscience; esthetically or morally defective. [1913 Webster]
  • Nothing imperfect or deficient left Of all that he created. --Milton. [1913 Webster]
  • Then say not man's imperfect, Heaven in fault; Say rather, man's as perfect as he ought. --Pope. [1913 Webster]
  • Imperfect arch, an arch of less than a semicircle; a skew arch.
  • Imperfect cadence (Mus.), one not ending with the tonic, but with the dominant or some other chord; one not giving complete rest; a half close.
  • Imperfect consonances (Mus.), chords like the third and sixth, whose ratios are less simple than those of the fifth and forth.
  • Imperfect flower (Bot.), a flower wanting either stamens or pistils. --Gray.
  • Imperfect interval (Mus.), one a semitone less than perfect; as, an imperfect fifth.
  • Imperfect number (Math.), a number either greater or less than the sum of its several divisors; in the former case, it is called also a defective number; in the latter, an abundant number.
  • Imperfect obligations (Law), obligations as of charity or gratitude, which cannot be enforced by law.
  • Imperfect power (Math.), a number which can not be produced by taking any whole number or vulgar fraction, as a factor, the number of times indicated by the power; thus, 9 is a perfect square, but an imperfect cube.
  • Imperfect tense (Gram.), a tense expressing past time and incomplete action. [1913 Webster]