WordGPT

The number 57009

57009 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 613. Divisors (8): 1, 3, 31, 93, 613, 1839, 19003, 57009.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    57009 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

    57009 is composite. Its prime factorisation is

    57009=3×31×61357009 = 3 \times 31 \times 613
  3. 3

    The divisors add up to 78592; without 57009 itself that is 21583, so 57009 is deficient (21583 is less than 57009). Euler's totient φ(57009) = 36720 numbers up to 57009 share no factor with it.

  4. 4

    The digits of 57009 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57009 = 3 \times 31 \times 613 \]

57009 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors78592
Euler totient φ(n)36720
Square3250026081
Cube185280736851729
Square root238.765575
Digit sum / digital root21 / 3
Collatz steps to 1153
Scientific notation5.7009 × 10410^{4}

57009 in other forms

FormValue
In wordsfifty-seven thousand and nine
Binary (base 2)1101111010110001
Octal (base 8)157261
Hexadecimal (base 16)DEB1
Base 32220012110
As time57009 seconds = 15 h 50 min 9 s

Is 57009 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).
3Yes (57009 ÷ 3 = 19003)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57009 a prime number?

No. 57009 = 3 × 31 × 613, so it is divisible by 3.

What are the factors of 57009?

1, 3, 31, 93, 613, 1839, 19003, 57009.

What is 57009 in binary?

1101111010110001 (hexadecimal DEB1, octal 157261).

What is the square root of 57009?

About 238.7656.

Is 57009 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 57009?

It is a composite number with 8 divisors.

Find the next one

Nearby numbers

    57009: is it prime? Factors, square root, binary, Roman numeral | WordGPT