The number 1567
1567 is the 247th prime number. Its only divisors are 1 and 1567.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1567: the 247th prime number.
- 2
1567 is prime, so its only factors are 1 and 1567. It is the 247th prime; the next prime is 1571 and the one before is 1559.
- 3
The divisors add up to 1568; without 1567 itself that is 1, so 1567 is deficient (1 is less than 1567). Euler's totient φ(1567) = 1566 numbers up to 1567 share no factor with it.
- 4
The digits of 1567 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 60 steps to reach 1.
1567 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1568 |
| Euler totient φ(n) | 1566 |
| Square | 2455489 |
| Cube | 3847751263 |
| Square root | 39.585351 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.567 × |
1567 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and sixty-seven |
| Roman numerals | MDLXVII |
| Binary (base 2) | 11000011111 |
| Octal (base 8) | 3037 |
| Hexadecimal (base 16) | 61F |
| Base 3 | 2011001 |
| As time | 1567 seconds = 26 min 7 s |
Is 1567 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 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 7) | 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 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 1567 a prime number?
Yes. 1567 is divisible only by 1 and itself.
What are the factors of 1567?
1, 1567.
What is 1567 in binary?
11000011111 (hexadecimal 61F, octal 3037).
What is the square root of 1567?
About 39.5854.
What is 1567 in Roman numerals?
MDLXVII.
Is 1567 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1567?
1567 is the 247th prime number.