In mathematics, an amicable triple is a set of three different numbers so related that the restricted sum of the divisors of each is equal to the sum of other two numbers. In another equivalent characterization, an amicable triples is a set of three different numbers so related that the sum of the divisors of each is equal to the sum of the three numbers.
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| - Amicable triple (en)
- Triplete de números amigos (es)
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| - In mathematics, an amicable triple is a set of three different numbers so related that the restricted sum of the divisors of each is equal to the sum of other two numbers. In another equivalent characterization, an amicable triples is a set of three different numbers so related that the sum of the divisors of each is equal to the sum of the three numbers. (en)
- En matemáticas, un triplete de números amigos es un conjunto de tres números diferentes relacionados de tal manera que la suma de divisores restringida de cada uno es igual a la suma de los otros dos números. En otra caracterización equivalente, una terna de amigos es un conjunto de tres números diferentes tales que la suma de los divisores de cada uno es igual a la suma de los tres números. (es)
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| - In mathematics, an amicable triple is a set of three different numbers so related that the restricted sum of the divisors of each is equal to the sum of other two numbers. In another equivalent characterization, an amicable triples is a set of three different numbers so related that the sum of the divisors of each is equal to the sum of the three numbers. So a triple (a, b, c) of natural numbers is called amicable if s(a) = b + c, s(b) = a + c and s(c) = a + b, or equivalently if σ(a) = σ(b) = σ(c) = a + b + c. Here σ(n) is the sum of all positive divisors, and s(n) = σ(n) − n is the aliquot sum. (en)
- En matemáticas, un triplete de números amigos es un conjunto de tres números diferentes relacionados de tal manera que la suma de divisores restringida de cada uno es igual a la suma de los otros dos números. En otra caracterización equivalente, una terna de amigos es un conjunto de tres números diferentes tales que la suma de los divisores de cada uno es igual a la suma de los tres números. Entonces, un triplete (a, b, c) de números naturales se llama de amigos si s(a) = b + c, s(b) = a + c and s(c) = a + b, o equivalentemente, si σ(a) = σ(b) = σ(c) = a + b + c. Aquí σ(n) es la suma de todos los divisores positivos, y s(n) = σ(n) − n es la suma alícuota. (es)
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