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The number 56572

56572 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 14143. Divisors (6): 1, 2, 4, 14143, 28286, 56572.

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How to work it out

  1. 1

    What is special about 56572: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    56572 is composite. Its prime factorisation is

    56572=22×1414356572 = 2^{2} \times 14143
  3. 3

    The divisors add up to 99008; without 56572 itself that is 42436, so 56572 is deficient (42436 is less than 56572). Euler's totient φ(56572) = 28284 numbers up to 56572 share no factor with it.

  4. 4

    The digits of 56572 add up to 25, 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
\[ 56572 = 2^{2} \times 14143 \]

56572 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors99008
Euler totient φ(n)28284
Square3200391184
Cube181052530061248
Square root237.848691 (= 2√14143)
Digit sum / digital root25 / 7
Collatz steps to 160
Scientific notation5.6572 × 10410^{4}

56572 in other forms

FormValue
In wordsfifty-six thousand five hundred and seventy-two
Binary (base 2)1101110011111100
Octal (base 8)156374
Hexadecimal (base 16)DCFC
Base 32212121021
As time56572 seconds = 15 h 42 min 52 s

Is 56572 divisible by 2 to 12?

DivisorAnswerRule
2Yes (56572 ÷ 2 = 28286)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 (56572 ÷ 4 = 14143)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 5)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 56572 a prime number?

No. 56572 = 222^{2} × 14143, so it is divisible by 2.

What are the factors of 56572?

1, 2, 4, 14143, 28286, 56572.

What is 56572 in binary?

1101110011111100 (hexadecimal DCFC, octal 156374).

What is the square root of 56572?

About 237.8487, exactly 2√14143.

Is 56572 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 56572?

56572 is a happy number: repeatedly adding the squares of its digits reaches 1.

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