The number 14731
14731 is the 1724th prime number. Its only divisors are 1 and 14731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14731: the 1724th prime number.
- 2
14731 is prime, so its only factors are 1 and 14731. It is the 1724th prime; the next prime is 14737 and the one before is 14723.
- 3
The divisors add up to 14732; without 14731 itself that is 1, so 14731 is deficient (1 is less than 14731). Euler's totient φ(14731) = 14730 numbers up to 14731 share no factor with it.
- 4
The digits of 14731 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 71 steps to reach 1.
14731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14732 |
| Euler totient φ(n) | 14730 |
| Square | 217002361 |
| Cube | 3196661779891 |
| Square root | 121.371331 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.4731 × |
14731 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and thirty-one |
| Binary (base 2) | 11100110001011 |
| Octal (base 8) | 34613 |
| Hexadecimal (base 16) | 398B |
| Base 3 | 202012121 |
| As time | 14731 seconds = 4 h 5 min 31 s |
Is 14731 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 3) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14731 a prime number?
Yes. 14731 is divisible only by 1 and itself.
What are the factors of 14731?
1, 14731.
What is 14731 in binary?
11100110001011 (hexadecimal 398B, octal 34613).
What is the square root of 14731?
About 121.3713.
Is 14731 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 14731?
14731 is the 1724th prime number.