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The tables below list all of the divisors of the numbers 1 to 1000. A divisor of an integer n is an integer m , 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 21/7 = 3 (and therefore 7 is also a divisor of 21).
The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that ...
an abundant number since the sum of its proper divisors is greater than 96. the fourth Granville number and the second non-perfect Granville number. The next Granville number is 126, the previous being 24. the sum of Euler's totient function φ(x) over the first seventeen integers. strobogrammatic in bases 10 (96 10), 11 (88 11) and 95 (11 95).
The first 15 superior highly composite numbers, 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence A002201 in the OEIS) are also the first 15 colossally abundant numbers, which meet a similar condition based on the sum-of-divisors function rather than the number of divisors. Neither ...
For instance, consider division by the regular number 54 = 2 1 3 3. 54 is a divisor of 60 3, and 60 3 /54 = 4000, so dividing by 54 in sexagesimal can be accomplished by multiplying by 4000 and shifting three places. In sexagesimal 4000 = 1×3600 + 6×60 + 40×1, or (as listed by Joyce) 1:6:40.
The prime numbers are precisely the atoms of the division lattice, namely those natural numbers divisible only by themselves and 1. [ 2 ] For any square-free number n , its divisors form a Boolean algebra that is a sublattice of the division lattice.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
60 is the 4th superior highly composite number, [1] the 4th colossally abundant number, [2] the 9th highly composite number, [3] a unitary perfect number, [4] and an abundant number. It is the smallest number divisible by the numbers 1 to 6. The smallest group that is not a solvable is the alternating group A 5, which has 60 elements.