The number 738
738 is a composite number with 12 divisors. Its prime factorisation is 2 × × 41. Divisors (12): 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 738: a Harshad number: divisible by its digit sum 18.
- 2
738 is composite. Its prime factorisation is
- 3
The divisors add up to 1638; without 738 itself that is 900, so 738 is abundant (900 is more than 738). Euler's totient φ(738) = 240 numbers up to 738 share no factor with it.
- 4
The digits of 738 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 738 = 2 \times 3^{2} \times 41 \]738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1638 |
| Euler totient φ(n) | 240 |
| Square | 544644 |
| Cube | 401947272 |
| Square root | 27.166155 (= 3√82) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 20 |
| Scientific notation | 7.38 × |
738 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and thirty-eight |
| Roman numerals | DCCXXXVIII |
| Binary (base 2) | 1011100010 |
| Octal (base 8) | 1342 |
| Hexadecimal (base 16) | 2E2 |
| Base 3 | 1000100 |
| As time | 738 seconds = 12 min 18 s |
Is 738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (738 ÷ 2 = 369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (738 ÷ 3 = 246) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (738 ÷ 6 = 123) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (738 ÷ 9 = 82) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 738 a prime number?
No. 738 = 2 × × 41, so it is divisible by 2.
What are the factors of 738?
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738.
What is 738 in binary?
1011100010 (hexadecimal 2E2, octal 1342).
What is the square root of 738?
About 27.1662, exactly 3√82.
What is 738 in Roman numerals?
DCCXXXVIII.
Is 738 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 738?
738 is a Harshad number: divisible by its digit sum 18.