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# Is 496 perfect number?

# What is a perfect number?

A perfect number is one whose positive integer factors, other than itself, add up to the number itself. For example, the factors of 6, other than itself, are 1, 2, 3, and 1 + …2 + 3 = 6. Therefore, 6 is a perfect number. The first eight perfect numbers are:62849681283355033685898690561374386913282305843008139952128

# What are the perfect numbers?

A number is considered perfect if it is equal to the sum of all its positive factors/divisors, excluding itself. These are the first few perfect numbers: * 6 * 28 … * 496 * 8128 * 33550336 * 8589869056 A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. An example 1+2+3=6 and 1x2x3=6

# What numbers are perfect?

6, 28, 496 and 8128 are the first four Perfect numbers.

# What are the nine factors of the number 496?

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496.

# What is the perfect number?

It is a A number n for which the sum of all the positive integer factors of n which are less than n add up to n. For example, 6 and 28 are perfect numbers. The number …6 has factors 1, 2, and 3, and 1 + 2 + 3 = 6. The number 28 has factors 1, 2, 4, 7, and 14, and 1 + 2 + 4 + 7 + 14 = 28 It is a A number n for which the sum of all the positive integer factors of n which are less than n add up to n. For example, 6 and 28 are perfect numbers. The number 6 has factors 1, 2, and 3, and 1 + 2 + 3 = 6. The number 28 has factors 1, 2, 4, 7, and 14, and 1 + 2 + 4 + 7 + 14 = 28

# What is 496?

A number. Other examples: 13, 4, 12657.

# Why is 496 a perfect number?

Divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124 and 248 and the sum of all these divisors is 496 (1+2+4+8+16+31+62+124+248=496) so 496 is a perfect number. The first per…fect number is 6, because 1, 2, and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6.

# How is 496 a perfect number?

The factors of 496 (excluding itself) are: 1, 2, 4, 8, 16, 31, 62, 124, 248 whose sum is 496. -------------------------------------------- The prime factorization of 496 is… 496 = 24*31. If we take σ(496) (sum of all divisors of 496), this is equal to σ(496) = σ(24)σ(31) (this is a useful property, σ(ab) = σ(a)σ(b) for relatively prime a,b) Since σ(24) = 1+2+4+8+16 = 31 and σ(31) = 1+31 = 32, σ(496) = 31*32 = 2(496), so 496 is perfect.

# Why are perfect numbers perfect?

A perfect number is only classified as a perfect number because all of its proper divisors add up to itself. For example, the proper divisors of six are one, two and three. Th…ose numbers added together equal six. Therefore, six is a perfect number.

# What two prime numbers multiplied together make 496?

496 has two prime factors, but no prime factor pair. 2 x 2 x 2 x 2 x 31 = 496

# What is the sum of all the numbers less than 496 divided evenly by 496?

Type your answer here... 496

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In Numbers

# What is the Perfect number and what is the perfect number after 28?

A perfect number is a number that is the sum of all its proper factors (that is all its factors excluding itself). The next perfect number after 28 is 496

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# Is 496 a deficient number?

No - 496 is a perfect number.

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In Science

# What is the sum of the numbers that are less than 496 that will divide evenly?

496

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In Numbers

# What number is a perfect?

ten * * * * * No. 6 is the first followed by 28, 496 and then 8128. A list is given at the link below: it only goes to the tenth perfect number but that is 54 digits lon…g!

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# What are the 4 consecutive odd numbers that have a sum of 496?

121 123 125 127