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  2. 12 (number) - Wikipedia

    en.wikipedia.org/wiki/12_(number)

    12 is a composite number, the smallest abundant number, a semiperfect number, [11] a highly composite number, [12] a refactorable number, [13] and a Pell number. [14] It is the smallest of two known sublime numbers , numbers that have a perfect number of divisors whose sum is also perfect.

  3. Amicable numbers - Wikipedia

    en.wikipedia.org/wiki/Amicable_numbers

    In 1968 Martin Gardner noted that most even amicable pairs sumsdivisible by 9, [12] and that a rule for characterizing the exceptions (sequence A291550 in the OEIS) was obtained. [ 13 ] According to the sum of amicable pairs conjecture, as the number of the amicable numbers approaches infinity, the percentage of the sums of the amicable pairs ...

  4. D. R. Kaprekar - Wikipedia

    en.wikipedia.org/wiki/D._R._Kaprekar

    Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... Thus 12, which is divisible by 1 + 2 = 3, is a ...

  5. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    12: It is divisible by 3 and by 4. [6] 324: it is divisible by 3 and by 4. Subtract the last digit from twice the rest. The result must be divisible by 12. 324: 32 × 2 − 4 = 60 = 5 × 12. 13: Form the alternating sum of blocks of three from right to left. The result must be divisible by 13. [7] 2,911,272: 272 − 911 + 2 = −637.

  6. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    The divisors of 10 illustrated with Cuisenaire rods: 1, 2, 5, and 10. In mathematics, a divisor of an integer , also called a factor of , is an integer that may be multiplied by some integer to produce . [1] In this case, one also says that is a multiple of .

  7. Casting out nines - Wikipedia

    en.wikipedia.org/wiki/Casting_out_nines

    If a number is divisible by 9, its digital root is 9. Otherwise, its digital root is the remainder it leaves after being divided by 9. A sanity test in which the above-mentioned procedures are used to check for errors in arithmetical calculations. The test is carried out by applying the same sequence of arithmetical operations to the digital ...