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The number 57353

57353 is a composite number with 4 divisors. Its prime factorisation is 83 × 691. Divisors (4): 1, 83, 691, 57353.

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How to work it out

  1. 1

    What is special about 57353: a semiprime: 83 × 691, the product of two primes.

  2. 2

    57353 is composite. Its prime factorisation is

    57353=83×69157353 = 83 \times 691
  3. 3

    The divisors add up to 58128; without 57353 itself that is 775, so 57353 is deficient (775 is less than 57353). Euler's totient φ(57353) = 56580 numbers up to 57353 share no factor with it.

  4. 4

    The digits of 57353 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 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57353 = 83 \times 691 \]

57353 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors58128
Euler totient φ(n)56580
Square3289366609
Cube188655043125977
Square root239.484864
Digit sum / digital root23 / 5
Collatz steps to 178
Scientific notation5.7353 × 10410^{4}

57353 in other forms

FormValue
In wordsfifty-seven thousand three hundred and fifty-three
Binary (base 2)1110000000001001
Octal (base 8)160011
Hexadecimal (base 16)E009
Base 32220200012
As time57353 seconds = 15 h 55 min 53 s

Is 57353 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 3)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 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.
8No (remainder 1)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 3)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57353 a prime number?

No. 57353 = 83 × 691, so it is divisible by 83.

What are the factors of 57353?

1, 83, 691, 57353.

What is 57353 in binary?

1110000000001001 (hexadecimal E009, octal 160011).

What is the square root of 57353?

About 239.4849.

Is 57353 divisible by 3?

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

What is special about the number 57353?

57353 is a semiprime: 83 × 691, the product of two primes.

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