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The number 57136

57136 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 3571. Divisors (10): 1, 2, 4, 8, 16, 3571, 7142, 14284, 28568, 57136.

Number

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How to work it out

  1. 1

    57136 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

    57136 is composite. Its prime factorisation is

    57136=24×357157136 = 2^{4} \times 3571
  3. 3

    The divisors add up to 110732; without 57136 itself that is 53596, so 57136 is deficient (53596 is less than 57136). Euler's totient φ(57136) = 28560 numbers up to 57136 share no factor with it.

  4. 4

    The digits of 57136 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57136 = 2^{4} \times 3571 \]

57136 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors110732
Euler totient φ(n)28560
Square3264522496
Cube186521757331456
Square root239.031379 (= 4√3571)
Digit sum / digital root22 / 4
Collatz steps to 134
Scientific notation5.7136 × 10410^{4}

57136 in other forms

FormValue
In wordsfifty-seven thousand one hundred and thirty-six
Binary (base 2)1101111100110000
Octal (base 8)157460
Hexadecimal (base 16)DF30
Base 32220101011
As time57136 seconds = 15 h 52 min 16 s

Is 57136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (57136 ÷ 2 = 28568)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 (57136 ÷ 4 = 14284)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (57136 ÷ 8 = 7142)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 57136 a prime number?

No. 57136 = 242^{4} × 3571, so it is divisible by 2.

What are the factors of 57136?

1, 2, 4, 8, 16, 3571, 7142, 14284, 28568, 57136.

What is 57136 in binary?

1101111100110000 (hexadecimal DF30, octal 157460).

What is the square root of 57136?

About 239.0314, exactly 4√3571.

Is 57136 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 57136?

It is a composite number with 10 divisors.

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    57136: is it prime? Factors, square root, binary, Roman numeral | WordGPT