The number 42744
42744 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 137. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 137, 156 … 42744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42744 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 42744 itself that is 73176, so 42744 is abundant (73176 is more than 42744). Euler's totient φ(42744) = 13056 numbers up to 42744 share no factor with it.
- 4
The digits of 42744 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42744 = 2^{3} \times 3 \times 13 \times 137 \]42744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 13056 |
| Square | 1827049536 |
| Cube | 78095405366784 |
| Square root | 206.746221 (= 2√10686) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2744 × |
42744 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and forty-four |
| Binary (base 2) | 1010011011111000 |
| Octal (base 8) | 123370 |
| Hexadecimal (base 16) | A6F8 |
| Base 3 | 2011122010 |
| As time | 42744 seconds = 11 h 52 min 24 s |
Is 42744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42744 ÷ 2 = 21372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42744 ÷ 3 = 14248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42744 ÷ 4 = 10686) | 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 (42744 ÷ 6 = 7124) | 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 (42744 ÷ 8 = 5343) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42744 ÷ 12 = 3562) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42744 a prime number?
No. 42744 = × 3 × 13 × 137, so it is divisible by 2.
What are the factors of 42744?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 137, 156, 274, 312, 411, 548, 822, 1096, 1644, 1781, 3288, 3562, 5343, 7124, 10686, 14248, 21372, 42744.
What is 42744 in binary?
1010011011111000 (hexadecimal A6F8, octal 123370).
What is the square root of 42744?
About 206.7462, exactly 2√10686.
Is 42744 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42744?
It is a composite number with 32 divisors.