Quick Answer: Is 36 A Perfect Number?

What is special about the number 36?

It is the smallest square triangular number other than one, and it is also the only triangular number other than one whose square root is also a triangular number.

Being the smallest number with exactly nine divisors, 36 is a highly composite number..

Why is 12 a perfect number?

Twelve is a sublime number, a number that has a perfect number of divisors, and the sum of its divisors is also a perfect number. Since there is a subset of 12’s proper divisors that add up to 12 (all of them but with 4 excluded), 12 is a semiperfect number.

What are the first 5 perfect numbers?

What are the First 5 Perfect Numbers? The first 5 perfect numbers are 6, 28, 496, 8128, and 33550336.

Is 72 a perfect number?

A perfect number is a number who has a divisor sum equal to itself. An abundant number is a number who has a divisor sum greater than the number, otherwise, it is deficient. Since our divisor sum of 123 > 72, 72 is an abundant number!

What is the 5th perfect number?

List of perfect numbersRankpPerfect number3549647812851333550336617858986905647 more rows

What are the first 10 perfect numbers?

The first few perfect numbers are 6, 28, 496 and 8128 (sequence A000396 in the OEIS).

Is zero an integer or a whole number?

All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

Why is three the perfect number?

Three is the smallest number we need to create a pattern, the perfect combination of brevity and rhythm. … It’s a principle captured neatly in the Latin phrase omne trium perfectum: everything that comes in threes is perfect, or, every set of three is complete.

Is 72 a natural number?

72 (seventy-two) is the natural number following 71 and preceding 73. It is half a gross or 6 dozen (i.e., 60 in duodecimal).

Why is 28 a perfect number?

A number is perfect if all of its factors, including 1 but excluding itself, perfectly add up to the number you began with. 6, for example, is perfect, because its factors — 3, 2, and 1 — all sum up to 6. 28 is perfect too: 14, 7, 4, 2, and 1 add up to 28.

What is the biblical meaning of 36?

The number 36 is twice 18. In gematria (a form of Jewish numerology), the number 18 stands for “life”, because the Hebrew letters that spell chai, meaning “living”, add up to 18. Because 36 = 2×18, it represents “two lives”.

Why is the number 35 special?

35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the “combination of seven things taken three at a time”. … There are 35 free hexominoes, the polyominoes made from six squares.

Is 0 a natural number?

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. …

What kind of number is 34?

34 (thirty-four) is the natural number following 33 and preceding 35….34 (number)← 33 34 35 →← 30 31 32 33 34 35 36 37 38 39 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →Cardinalthirty-fourOrdinal34th (thirty-fourth)Factorization2 × 178 more rows

Why Is 9 the perfect number?

The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 3000 BC. … Nine is a significant number in Norse Mythology.