The number 48744
48744 is a composite number with 24 divisors. Its prime factorisation is × × 677. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 677, 1354, 2031, 2708 … 48744.
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How to work it out
- 1
48744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48744 is composite. Its prime factorisation is
- 3
The divisors add up to 132210; without 48744 itself that is 83466, so 48744 is abundant (83466 is more than 48744). Euler's totient φ(48744) = 16224 numbers up to 48744 share no factor with it.
- 4
The digits of 48744 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48744 = 2^{3} \times 3^{2} \times 677 \]48744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 132210 |
| Euler totient φ(n) | 16224 |
| Square | 2375977536 |
| Cube | 115814649014784 |
| Square root | 220.780434 (= 6√1354) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8744 × |
48744 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and forty-four |
| Binary (base 2) | 1011111001101000 |
| Octal (base 8) | 137150 |
| Hexadecimal (base 16) | BE68 |
| Base 3 | 2110212100 |
| As time | 48744 seconds = 13 h 32 min 24 s |
Is 48744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48744 ÷ 2 = 24372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48744 ÷ 3 = 16248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48744 ÷ 4 = 12186) | 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 (48744 ÷ 6 = 8124) | 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 | Yes (48744 ÷ 8 = 6093) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48744 ÷ 9 = 5416) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48744 ÷ 12 = 4062) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48744 a prime number?
No. 48744 = × × 677, so it is divisible by 2.
What are the factors of 48744?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 677, 1354, 2031, 2708, 4062, 5416, 6093, 8124, 12186, 16248, 24372, 48744.
What is 48744 in binary?
1011111001101000 (hexadecimal BE68, octal 137150).
What is the square root of 48744?
About 220.7804, exactly 6√1354.
Is 48744 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48744?
It is a composite number with 24 divisors.