The number 5337
5337 is a composite number with 6 divisors. Its prime factorisation is × 593. Divisors (6): 1, 3, 9, 593, 1779, 5337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5337 is composite. Its prime factorisation is
- 3
The divisors add up to 7722; without 5337 itself that is 2385, so 5337 is deficient (2385 is less than 5337). Euler's totient φ(5337) = 3552 numbers up to 5337 share no factor with it.
- 4
The digits of 5337 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5337 = 3^{2} \times 593 \]5337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7722 |
| Euler totient φ(n) | 3552 |
| Square | 28483569 |
| Cube | 152016807753 |
| Square root | 73.054774 (= 3√593) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.337 × |
5337 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-seven |
| Binary (base 2) | 1010011011001 |
| Octal (base 8) | 12331 |
| Hexadecimal (base 16) | 14D9 |
| Base 3 | 21022200 |
| As time | 5337 seconds = 1 h 28 min 57 s |
Is 5337 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5337 ÷ 3 = 1779) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5337 ÷ 9 = 593) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5337 a prime number?
No. 5337 = × 593, so it is divisible by 3.
What are the factors of 5337?
1, 3, 9, 593, 1779, 5337.
What is 5337 in binary?
1010011011001 (hexadecimal 14D9, octal 12331).
What is the square root of 5337?
About 73.0548, exactly 3√593.
Is 5337 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5337?
It is a composite number with 6 divisors.