Divisors Calculator

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Divisors of the number 84000: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 96, 100, 105, 112, 120, 125, 140, 150, 160, 168, 175, 200, 210, 224, 240, 250, 280, 300, 336, 350, 375, 400, 420, 480, 500, 525, 560, 600, 672, 700, 750, 800, 840, 875, 1000, 1050, 1120, 1200, 1400, 1500, 1680, 1750, 2000, 2100, 2400, 2625, 2800, 3000, 3360, 3500, 4000, 4200, 5250, 5600, 6000, 7000, 8400, 10500, 12000, 14000, 16800, 21000, 28000, 42000, 84000

Number of divisors: 96

The sum of its divisors: 314496



Input a positive integer and this calculator will calculate:
• the complete list of divisors of the given number
• the sum of its divisors,
• the number of divisors

What is a divisor?

If we have a natural number p, then the number q is a divisor of the number p if it is true that it divides it without a remainder. So there is a natural number k such that k*q=p. The number p is also called the divisor, q is the divisor, and k is the quotient. Every natural number has at least two divisors. The number 1 (one) and itself, because 1*p=p*1=p. They are called trivial divisors. The number 0 (zero) is not a natural number but has infinitely many divisors - all numbers except zero. The set of divisors can be calculated for all natural numbers. The usual procedure is to prime factorization the number p and obtain the divisors as a product of permutations of the prime factors. The list of divisors can also be obtained for small numbers by dividing the number p by numbers from 1 to the square root of p. Divisors have many uses in mathematics.