The number 61333
61333 is a twin prime (61331 and 61333 are both prime) and the 6170th prime number. Its only divisors are 1 and 61333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61333: a twin prime (61331 and 61333 are both prime); the 6170th prime number.
- 2
61333 is prime, so its only factors are 1 and 61333. It is the 6170th prime; the next prime is 61339 and the one before is 61331.
- 3
The divisors add up to 61334; without 61333 itself that is 1, so 61333 is deficient (1 is less than 61333). Euler's totient φ(61333) = 61332 numbers up to 61333 share no factor with it.
- 4
The digits of 61333 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
61333 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61334 |
| Euler totient φ(n) | 61332 |
| Square | 3761736889 |
| Cube | 230718608613037 |
| Square root | 247.655002 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1333 × |
61333 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and thirty-three |
| Binary (base 2) | 1110111110010101 |
| Octal (base 8) | 167625 |
| Hexadecimal (base 16) | EF95 |
| Base 3 | 10010010121 |
| As time | 61333 seconds = 17 h 2 min 13 s |
Is 61333 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 1) | 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 1) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61333 a prime number?
Yes. 61333 is divisible only by 1 and itself.
What are the factors of 61333?
1, 61333.
What is 61333 in binary?
1110111110010101 (hexadecimal EF95, octal 167625).
What is the square root of 61333?
About 247.6550.
Is 61333 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61333?
61333 is a twin prime (61331 and 61333 are both prime); the 6170th prime number.