The number 5333
5333 is the 706th prime number. Its only divisors are 1 and 5333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5333: the 706th prime number.
- 2
5333 is prime, so its only factors are 1 and 5333. It is the 706th prime; the next prime is 5347 and the one before is 5323.
- 3
The divisors add up to 5334; without 5333 itself that is 1, so 5333 is deficient (1 is less than 5333). Euler's totient φ(5333) = 5332 numbers up to 5333 share no factor with it.
- 4
The digits of 5333 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
5333 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5334 |
| Euler totient φ(n) | 5332 |
| Square | 28440889 |
| Cube | 151675261037 |
| Square root | 73.027392 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.333 × |
5333 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-three |
| Binary (base 2) | 1010011010101 |
| Octal (base 8) | 12325 |
| Hexadecimal (base 16) | 14D5 |
| Base 3 | 21022112 |
| As time | 5333 seconds = 1 h 28 min 53 s |
Is 5333 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5333 a prime number?
Yes. 5333 is divisible only by 1 and itself.
What are the factors of 5333?
1, 5333.
What is 5333 in binary?
1010011010101 (hexadecimal 14D5, octal 12325).
What is the square root of 5333?
About 73.0274.
Is 5333 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5333?
5333 is the 706th prime number.