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A divisor of an Integer ''n'' is an integer ''m'', say, for which ''n''/''m'' is again an integer (which is necessarily also a divisor of ''n''). For example, 3 is a divisor of 21, since 21/3 = 7 (and 7 is also a divisor of 21).

If ''m'' is a divisor of ''n'' then so is −''m''. The tables below only list positive divisors.


KEY TO THE TABLES


  • ''d''(''n'') is the number of positive divisors of ''n'', including 1 and ''n'' itself

  • σ(''n'') is the sum of all the positive divisors of ''n'', including 1 and ''n'' itself

  • ''s''(''n'') is the sum of the Proper Divisor s of ''n'', which does not include ''n'' itself; that is, ''s''(''n'') = σ(''n'') − ''n''

  • a Perfect Number equals the sum of its proper divisors; that is, ''s''(''n'') = ''n''; the only perfect numbers between 1 and 1000 are 6 , 28 and 496

  • Amicable Number s and Sociable Number s are numbers where the sum of their proper divisors form a cycle; the only examples below 1000 are 220 and 284

  • a Deficient Number is greater than the sum of its proper divisors; that is, ''s''(''n'') < ''n''

  • an Abundant Number is less than the sum of its proper divisors; that is, ''s''(''n'') > ''n''

  • a Prime Number has only 1 and itself as divisors; that is, ''d''(''n'') = 2. Prime numbers are always deficient as ''s''(''n'')=1



DIVISORS OF THE NUMBERS 1 TO 100



DIVISORS OF THE NUMBERS 101 TO 200



DIVISORS OF THE NUMBERS 201 TO 300



DIVISORS OF THE NUMBERS 301 TO 400



DIVISORS OF THE NUMBERS 401 TO 500



DIVISORS OF THE NUMBERS 501 TO 600



DIVISORS OF THE NUMBERS 601 TO 700



DIVISORS OF THE NUMBERS 701 TO 800



DIVISORS OF THE NUMBERS 801 TO 900



DIVISORS OF THE NUMBERS 901 TO 1000



SEE ALSO