The number 14767
14767 is the 1730th prime number. Its only divisors are 1 and 14767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14767: the 1730th prime number.
- 2
14767 is prime, so its only factors are 1 and 14767. It is the 1730th prime; the next prime is 14771 and the one before is 14759.
- 3
The divisors add up to 14768; without 14767 itself that is 1, so 14767 is deficient (1 is less than 14767). Euler's totient φ(14767) = 14766 numbers up to 14767 share no factor with it.
- 4
The digits of 14767 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
14767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 14768 |
| Euler totient φ(n) | 14766 |
| Square | 218064289 |
| Cube | 3220155355663 |
| Square root | 121.519546 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 195 |
| Scientific notation | 1.4767 × |
14767 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and sixty-seven |
| Binary (base 2) | 11100110101111 |
| Octal (base 8) | 34657 |
| Hexadecimal (base 16) | 39AF |
| Base 3 | 202020221 |
| As time | 14767 seconds = 4 h 6 min 7 s |
Is 14767 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 2) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 14767 a prime number?
Yes. 14767 is divisible only by 1 and itself.
What are the factors of 14767?
1, 14767.
What is 14767 in binary?
11100110101111 (hexadecimal 39AF, octal 34657).
What is the square root of 14767?
About 121.5195.
Is 14767 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 14767?
14767 is the 1730th prime number.