The number 746
746 is a composite number with 4 divisors. Its prime factorisation is 2 × 373. Divisors (4): 1, 2, 373, 746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 746: a semiprime: 2 × 373, the product of two primes.
- 2
746 is composite. Its prime factorisation is
- 3
The divisors add up to 1122; without 746 itself that is 376, so 746 is deficient (376 is less than 746). Euler's totient φ(746) = 372 numbers up to 746 share no factor with it.
- 4
The digits of 746 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 746 = 2 \times 373 \]
746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1122 |
| Euler totient φ(n) | 372 |
| Square | 556516 |
| Cube | 415160936 |
| Square root | 27.313001 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 20 |
| Scientific notation | 7.46 × |
746 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and forty-six |
| Roman numerals | DCCXLVI |
| Binary (base 2) | 1011101010 |
| Octal (base 8) | 1352 |
| Hexadecimal (base 16) | 2EA |
| Base 3 | 1000122 |
| As time | 746 seconds = 12 min 26 s |
Is 746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (746 ÷ 2 = 373) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 746 a prime number?
No. 746 = 2 × 373, so it is divisible by 2.
What are the factors of 746?
1, 2, 373, 746.
What is 746 in binary?
1011101010 (hexadecimal 2EA, octal 1352).
What is the square root of 746?
About 27.3130.
What is 746 in Roman numerals?
DCCXLVI.
Is 746 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 746?
746 is a semiprime: 2 × 373, the product of two primes.