The number 767
767 is a palindrome: it reads 767 backwards too. Its prime factorisation is 13 × 59. Divisors (4): 1, 13, 59, 767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 767: a palindrome: it reads 767 backwards too; a semiprime: 13 × 59, the product of two primes.
- 2
767 is composite. Its prime factorisation is
- 3
The divisors add up to 840; without 767 itself that is 73, so 767 is deficient (73 is less than 767). Euler's totient φ(767) = 696 numbers up to 767 share no factor with it.
- 4
The digits of 767 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 767 = 13 \times 59 \]
767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 840 |
| Euler totient φ(n) | 696 |
| Square | 588289 |
| Cube | 451217663 |
| Square root | 27.694765 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 7.67 × |
767 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixty-seven |
| Roman numerals | DCCLXVII |
| Binary (base 2) | 1011111111 |
| Octal (base 8) | 1377 |
| Hexadecimal (base 16) | 2FF |
| Base 3 | 1001102 |
| As time | 767 seconds = 12 min 47 s |
Is 767 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 2) | 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 5) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 767 a prime number?
No. 767 = 13 × 59, so it is divisible by 13.
What are the factors of 767?
1, 13, 59, 767.
What is 767 in binary?
1011111111 (hexadecimal 2FF, octal 1377).
What is the square root of 767?
About 27.6948.
What is 767 in Roman numerals?
DCCLXVII.
Is 767 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 767?
767 is a palindrome: it reads 767 backwards too; a semiprime: 13 × 59, the product of two primes.