The number 743
743 is the 132nd prime number. Its only divisors are 1 and 743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 743: the 132nd prime number.
- 2
743 is prime, so its only factors are 1 and 743. It is the 132nd prime; the next prime is 751 and the one before is 739.
- 3
The divisors add up to 744; without 743 itself that is 1, so 743 is deficient (1 is less than 743). Euler's totient φ(743) = 742 numbers up to 743 share no factor with it.
- 4
The digits of 743 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 744 |
| Euler totient φ(n) | 742 |
| Square | 552049 |
| Cube | 410172407 |
| Square root | 27.258026 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 7.43 × |
743 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and forty-three |
| Roman numerals | DCCXLIII |
| Binary (base 2) | 1011100111 |
| Octal (base 8) | 1347 |
| Hexadecimal (base 16) | 2E7 |
| Base 3 | 1000112 |
| As time | 743 seconds = 12 min 23 s |
Is 743 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 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 743 a prime number?
Yes. 743 is divisible only by 1 and itself.
What are the factors of 743?
1, 743.
What is 743 in binary?
1011100111 (hexadecimal 2E7, octal 1347).
What is the square root of 743?
About 27.2580.
What is 743 in Roman numerals?
DCCXLIII.
Is 743 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 743?
743 is the 132nd prime number.