The number 15667
15667 is the 1828th prime number. Its only divisors are 1 and 15667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15667: the 1828th prime number.
- 2
15667 is prime, so its only factors are 1 and 15667. It is the 1828th prime; the next prime is 15671 and the one before is 15661.
- 3
The divisors add up to 15668; without 15667 itself that is 1, so 15667 is deficient (1 is less than 15667). Euler's totient φ(15667) = 15666 numbers up to 15667 share no factor with it.
- 4
The digits of 15667 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 58 steps to reach 1.
15667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15668 |
| Euler totient φ(n) | 15666 |
| Square | 245454889 |
| Cube | 3845541745963 |
| Square root | 125.167887 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5667 × |
15667 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand six hundred and sixty-seven |
| Binary (base 2) | 11110100110011 |
| Octal (base 8) | 36463 |
| Hexadecimal (base 16) | 3D33 |
| Base 3 | 210111021 |
| As time | 15667 seconds = 4 h 21 min 7 s |
Is 15667 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 1) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15667 a prime number?
Yes. 15667 is divisible only by 1 and itself.
What are the factors of 15667?
1, 15667.
What is 15667 in binary?
11110100110011 (hexadecimal 3D33, octal 36463).
What is the square root of 15667?
About 125.1679.
Is 15667 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 15667?
15667 is the 1828th prime number.