The number 48740
48740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2437. Divisors (12): 1, 2, 4, 5, 10, 20, 2437, 4874, 9748, 12185, 24370, 48740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48740 is composite. Its prime factorisation is
- 3
The divisors add up to 102396; without 48740 itself that is 53656, so 48740 is abundant (53656 is more than 48740). Euler's totient φ(48740) = 19488 numbers up to 48740 share no factor with it.
- 4
The digits of 48740 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48740 = 2^{2} \times 5 \times 2437 \]48740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102396 |
| Euler totient φ(n) | 19488 |
| Square | 2375587600 |
| Cube | 115786139624000 |
| Square root | 220.771375 (= 2√12185) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.874 × |
48740 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and forty |
| Binary (base 2) | 1011111001100100 |
| Octal (base 8) | 137144 |
| Hexadecimal (base 16) | BE64 |
| Base 3 | 2110212012 |
| As time | 48740 seconds = 13 h 32 min 20 s |
Is 48740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48740 ÷ 2 = 24370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48740 ÷ 4 = 12185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48740 ÷ 5 = 9748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48740 ÷ 10 = 4874) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48740 a prime number?
No. 48740 = × 5 × 2437, so it is divisible by 2.
What are the factors of 48740?
1, 2, 4, 5, 10, 20, 2437, 4874, 9748, 12185, 24370, 48740.
What is 48740 in binary?
1011111001100100 (hexadecimal BE64, octal 137144).
What is the square root of 48740?
About 220.7714, exactly 2√12185.
Is 48740 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48740?
It is a composite number with 12 divisors.