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The number 57133

57133 is a composite number with 8 divisors. Its prime factorisation is 19 × 31 × 97. Divisors (8): 1, 19, 31, 97, 589, 1843, 3007, 57133.

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How to work it out

  1. 1

    What is special about 57133: a Harshad number: divisible by its digit sum 19.

  2. 2

    57133 is composite. Its prime factorisation is

    57133=19×31×9757133 = 19 \times 31 \times 97
  3. 3

    The divisors add up to 62720; without 57133 itself that is 5587, so 57133 is deficient (5587 is less than 57133). Euler's totient φ(57133) = 51840 numbers up to 57133 share no factor with it.

  4. 4

    The digits of 57133 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57133 = 19 \times 31 \times 97 \]

57133 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors62720
Euler totient φ(n)51840
Square3264179689
Cube186492378171637
Square root239.025103
Digit sum / digital root19 / 1
Collatz steps to 134
Scientific notation5.7133 × 10410^{4}

57133 in other forms

FormValue
In wordsfifty-seven thousand one hundred and thirty-three
Binary (base 2)1101111100101101
Octal (base 8)157455
Hexadecimal (base 16)DF2D
Base 32220101001
As time57133 seconds = 15 h 52 min 13 s

Is 57133 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57133 a prime number?

No. 57133 = 19 × 31 × 97, so it is divisible by 19.

What are the factors of 57133?

1, 19, 31, 97, 589, 1843, 3007, 57133.

What is 57133 in binary?

1101111100101101 (hexadecimal DF2D, octal 157455).

What is the square root of 57133?

About 239.0251.

Is 57133 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 57133?

57133 is a Harshad number: divisible by its digit sum 19.

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    57133: is it prime? Factors, square root, binary, Roman numeral | WordGPT