The number 15733
15733 is a twin prime (15731 and 15733 are both prime) and the 1834th prime number. Its only divisors are 1 and 15733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15733: a twin prime (15731 and 15733 are both prime); the 1834th prime number.
- 2
15733 is prime, so its only factors are 1 and 15733. It is the 1834th prime; the next prime is 15737 and the one before is 15731.
- 3
The divisors add up to 15734; without 15733 itself that is 1, so 15733 is deficient (1 is less than 15733). Euler's totient φ(15733) = 15732 numbers up to 15733 share no factor with it.
- 4
The digits of 15733 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 146 steps to reach 1.
15733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15734 |
| Euler totient φ(n) | 15732 |
| Square | 247527289 |
| Cube | 3894346837837 |
| Square root | 125.431256 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5733 × |
15733 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and thirty-three |
| Binary (base 2) | 11110101110101 |
| Octal (base 8) | 36565 |
| Hexadecimal (base 16) | 3D75 |
| Base 3 | 210120201 |
| As time | 15733 seconds = 4 h 22 min 13 s |
Is 15733 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 4) | 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 1) | 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 3) | 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 15733 a prime number?
Yes. 15733 is divisible only by 1 and itself.
What are the factors of 15733?
1, 15733.
What is 15733 in binary?
11110101110101 (hexadecimal 3D75, octal 36565).
What is the square root of 15733?
About 125.4313.
Is 15733 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 15733?
15733 is a twin prime (15731 and 15733 are both prime); the 1834th prime number.