The number 744
744 is a composite number with 16 divisors. Its prime factorisation is × 3 × 31. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
744 is composite. Its prime factorisation is
- 3
The divisors add up to 1920; without 744 itself that is 1176, so 744 is abundant (1176 is more than 744). Euler's totient φ(744) = 240 numbers up to 744 share no factor with it.
- 4
The digits of 744 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 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 744 = 2^{3} \times 3 \times 31 \]744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1920 |
| Euler totient φ(n) | 240 |
| Square | 553536 |
| Cube | 411830784 |
| Square root | 27.276363 (= 2√186) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 20 |
| Scientific notation | 7.44 × |
744 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and forty-four |
| Roman numerals | DCCXLIV |
| Binary (base 2) | 1011101000 |
| Octal (base 8) | 1350 |
| Hexadecimal (base 16) | 2E8 |
| Base 3 | 1000120 |
| As time | 744 seconds = 12 min 24 s |
Is 744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (744 ÷ 2 = 372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (744 ÷ 3 = 248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (744 ÷ 4 = 186) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (744 ÷ 6 = 124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (744 ÷ 8 = 93) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (744 ÷ 12 = 62) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 744 a prime number?
No. 744 = × 3 × 31, so it is divisible by 2.
What are the factors of 744?
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744.
What is 744 in binary?
1011101000 (hexadecimal 2E8, octal 1350).
What is the square root of 744?
About 27.2764, exactly 2√186.
What is 744 in Roman numerals?
DCCXLIV.
Is 744 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 744?
It is a composite number with 16 divisors.