The number 762
762 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 127. Divisors (8): 1, 2, 3, 6, 127, 254, 381, 762.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
762 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
762 is composite. Its prime factorisation is
- 3
The divisors add up to 1536; without 762 itself that is 774, so 762 is abundant (774 is more than 762). Euler's totient φ(762) = 252 numbers up to 762 share no factor with it.
- 4
The digits of 762 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 762 = 2 \times 3 \times 127 \]
762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1536 |
| Euler totient φ(n) | 252 |
| Square | 580644 |
| Cube | 442450728 |
| Square root | 27.604347 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 108 |
| Scientific notation | 7.62 × |
762 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixty-two |
| Roman numerals | DCCLXII |
| Binary (base 2) | 1011111010 |
| Octal (base 8) | 1372 |
| Hexadecimal (base 16) | 2FA |
| Base 3 | 1001020 |
| As time | 762 seconds = 12 min 42 s |
Is 762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (762 ÷ 2 = 381) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (762 ÷ 3 = 254) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (762 ÷ 6 = 127) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 762 a prime number?
No. 762 = 2 × 3 × 127, so it is divisible by 2.
What are the factors of 762?
1, 2, 3, 6, 127, 254, 381, 762.
What is 762 in binary?
1011111010 (hexadecimal 2FA, octal 1372).
What is the square root of 762?
About 27.6043.
What is 762 in Roman numerals?
DCCLXII.
Is 762 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 762?
It is a composite number with 8 divisors.