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The number 57572

57572 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 37 × 389. Divisors (12): 1, 2, 4, 37, 74, 148, 389, 778, 1556, 14393, 28786, 57572.

Number

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How to work it out

  1. 1

    57572 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

    57572 is composite. Its prime factorisation is

    57572=22×37×38957572 = 2^{2} \times 37 \times 389
  3. 3

    The divisors add up to 103740; without 57572 itself that is 46168, so 57572 is deficient (46168 is less than 57572). Euler's totient φ(57572) = 27936 numbers up to 57572 share no factor with it.

  4. 4

    The digits of 57572 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57572 = 2^{2} \times 37 \times 389 \]

57572 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors103740
Euler totient φ(n)27936
Square3314535184
Cube190824419613248
Square root239.941660 (= 2√14393)
Digit sum / digital root26 / 8
Collatz steps to 173
Scientific notation5.7572 × 10410^{4}

57572 in other forms

FormValue
In wordsfifty-seven thousand five hundred and seventy-two
Binary (base 2)1110000011100100
Octal (base 8)160344
Hexadecimal (base 16)E0E4
Base 32220222022
As time57572 seconds = 15 h 59 min 32 s

Is 57572 divisible by 2 to 12?

DivisorAnswerRule
2Yes (57572 ÷ 2 = 28786)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (57572 ÷ 4 = 14393)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 2)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 8)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57572 a prime number?

No. 57572 = 222^{2} × 37 × 389, so it is divisible by 2.

What are the factors of 57572?

1, 2, 4, 37, 74, 148, 389, 778, 1556, 14393, 28786, 57572.

What is 57572 in binary?

1110000011100100 (hexadecimal E0E4, octal 160344).

What is the square root of 57572?

About 239.9417, exactly 2√14393.

Is 57572 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 57572?

It is a composite number with 12 divisors.

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    57572: is it prime? Factors, square root, binary, Roman numeral | WordGPT