The number 40744
40744 is a composite number with 16 divisors. Its prime factorisation is × 11 × 463. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 463, 926, 1852, 3704, 5093, 10186, 20372, 40744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40744 is composite. Its prime factorisation is
- 3
The divisors add up to 83520; without 40744 itself that is 42776, so 40744 is abundant (42776 is more than 40744). Euler's totient φ(40744) = 18480 numbers up to 40744 share no factor with it.
- 4
The digits of 40744 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40744 = 2^{3} \times 11 \times 463 \]40744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 83520 |
| Euler totient φ(n) | 18480 |
| Square | 1660073536 |
| Cube | 67638036150784 |
| Square root | 201.851431 (= 2√10186) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0744 × |
40744 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty-four |
| Binary (base 2) | 1001111100101000 |
| Octal (base 8) | 117450 |
| Hexadecimal (base 16) | 9F28 |
| Base 3 | 2001220001 |
| As time | 40744 seconds = 11 h 19 min 4 s |
Is 40744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40744 ÷ 2 = 20372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40744 ÷ 4 = 10186) | 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 | No (remainder 4) | 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 | Yes (40744 ÷ 8 = 5093) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (40744 ÷ 11 = 3704) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40744 a prime number?
No. 40744 = × 11 × 463, so it is divisible by 2.
What are the factors of 40744?
1, 2, 4, 8, 11, 22, 44, 88, 463, 926, 1852, 3704, 5093, 10186, 20372, 40744.
What is 40744 in binary?
1001111100101000 (hexadecimal 9F28, octal 117450).
What is the square root of 40744?
About 201.8514, exactly 2√10186.
Is 40744 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40744?
40744 is a happy number: repeatedly adding the squares of its digits reaches 1.