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The number 56788

56788 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 14197. Divisors (6): 1, 2, 4, 14197, 28394, 56788.

Number

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How to work it out

  1. 1

    56788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    56788 is composite. Its prime factorisation is

    56788=22×1419756788 = 2^{2} \times 14197
  3. 3

    The divisors add up to 99386; without 56788 itself that is 42598, so 56788 is deficient (42598 is less than 56788). Euler's totient φ(56788) = 28392 numbers up to 56788 share no factor with it.

  4. 4

    The digits of 56788 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56788 = 2^{2} \times 14197 \]

56788 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors99386
Euler totient φ(n)28392
Square3224876944
Cube183134311895872
Square root238.302329 (= 2√14197)
Digit sum / digital root34 / 7
Collatz steps to 160
Scientific notation5.6788 × 10410^{4}

56788 in other forms

FormValue
In wordsfifty-six thousand seven hundred and eighty-eight
Binary (base 2)1101110111010100
Octal (base 8)156724
Hexadecimal (base 16)DDD4
Base 32212220021
As time56788 seconds = 15 h 46 min 28 s

Is 56788 divisible by 2 to 12?

DivisorAnswerRule
2Yes (56788 ÷ 2 = 28394)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (56788 ÷ 4 = 14197)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56788 a prime number?

No. 56788 = 222^{2} × 14197, so it is divisible by 2.

What are the factors of 56788?

1, 2, 4, 14197, 28394, 56788.

What is 56788 in binary?

1101110111010100 (hexadecimal DDD4, octal 156724).

What is the square root of 56788?

About 238.3023, exactly 2√14197.

Is 56788 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 56788?

It is a composite number with 6 divisors.

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