The number 763
763 is a composite number with 4 divisors. Its prime factorisation is 7 × 109. Divisors (4): 1, 7, 109, 763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 763: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 109, the product of two primes.
- 2
763 is composite. Its prime factorisation is
- 3
The divisors add up to 880; without 763 itself that is 117, so 763 is deficient (117 is less than 763). Euler's totient φ(763) = 648 numbers up to 763 share no factor with it.
- 4
The digits of 763 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 763 = 7 \times 109 \]
763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 880 |
| Euler totient φ(n) | 648 |
| Square | 582169 |
| Cube | 444194947 |
| Square root | 27.622455 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 7.63 × |
763 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and sixty-three |
| Roman numerals | DCCLXIII |
| Binary (base 2) | 1011111011 |
| Octal (base 8) | 1373 |
| Hexadecimal (base 16) | 2FB |
| Base 3 | 1001021 |
| As time | 763 seconds = 12 min 43 s |
Is 763 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 3) | 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 | Yes (763 ÷ 7 = 109) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 763 a prime number?
No. 763 = 7 × 109, so it is divisible by 7.
What are the factors of 763?
1, 7, 109, 763.
What is 763 in binary?
1011111011 (hexadecimal 2FB, octal 1373).
What is the square root of 763?
About 27.6225.
What is 763 in Roman numerals?
DCCLXIII.
Is 763 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 763?
763 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 109, the product of two primes.