The number 36744
36744 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1531. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1531, 3062, 4593, 6124, 9186, 12248, 18372, 36744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36744: a Harshad number: divisible by its digit sum 24.
- 2
36744 is composite. Its prime factorisation is
- 3
The divisors add up to 91920; without 36744 itself that is 55176, so 36744 is abundant (55176 is more than 36744). Euler's totient φ(36744) = 12240 numbers up to 36744 share no factor with it.
- 4
The digits of 36744 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36744 = 2^{3} \times 3 \times 1531 \]36744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91920 |
| Euler totient φ(n) | 12240 |
| Square | 1350121536 |
| Cube | 49608865718784 |
| Square root | 191.687245 (= 2√9186) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.6744 × |
36744 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and forty-four |
| Binary (base 2) | 1000111110001000 |
| Octal (base 8) | 107610 |
| Hexadecimal (base 16) | 8F88 |
| Base 3 | 1212101220 |
| As time | 36744 seconds = 10 h 12 min 24 s |
Is 36744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36744 ÷ 2 = 18372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36744 ÷ 3 = 12248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36744 ÷ 4 = 9186) | 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 (36744 ÷ 6 = 6124) | 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 | Yes (36744 ÷ 8 = 4593) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36744 ÷ 12 = 3062) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36744 a prime number?
No. 36744 = × 3 × 1531, so it is divisible by 2.
What are the factors of 36744?
1, 2, 3, 4, 6, 8, 12, 24, 1531, 3062, 4593, 6124, 9186, 12248, 18372, 36744.
What is 36744 in binary?
1000111110001000 (hexadecimal 8F88, octal 107610).
What is the square root of 36744?
About 191.6872, exactly 2√9186.
Is 36744 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 36744?
36744 is a Harshad number: divisible by its digit sum 24.