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The number 57317

57317 is a composite number with 4 divisors. Its prime factorisation is 13 × 4409. Divisors (4): 1, 13, 4409, 57317.

Number

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How to work it out

  1. 1

    What is special about 57317: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 4409, the product of two primes.

  2. 2

    57317 is composite. Its prime factorisation is

    57317=13×440957317 = 13 \times 4409
  3. 3

    The divisors add up to 61740; without 57317 itself that is 4423, so 57317 is deficient (4423 is less than 57317). Euler's totient φ(57317) = 52896 numbers up to 57317 share no factor with it.

  4. 4

    The digits of 57317 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57317 = 13 \times 4409 \]

57317 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors61740
Euler totient φ(n)52896
Square3285238489
Cube188300014474013
Square root239.409691
Digit sum / digital root23 / 5
Collatz steps to 1104
Scientific notation5.7317 × 10410^{4}

57317 in other forms

FormValue
In wordsfifty-seven thousand three hundred and seventeen
Binary (base 2)1101111111100101
Octal (base 8)157745
Hexadecimal (base 16)DFE5
Base 32220121212
As time57317 seconds = 15 h 55 min 17 s

Is 57317 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57317 a prime number?

No. 57317 = 13 × 4409, so it is divisible by 13.

What are the factors of 57317?

1, 13, 4409, 57317.

What is 57317 in binary?

1101111111100101 (hexadecimal DFE5, octal 157745).

What is the square root of 57317?

About 239.4097.

Is 57317 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 57317?

57317 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 4409, the product of two primes.

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