The number 48724
48724 is a composite number with 12 divisors. Its prime factorisation is × 13 × 937. Divisors (12): 1, 2, 4, 13, 26, 52, 937, 1874, 3748, 12181, 24362, 48724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48724 is composite. Its prime factorisation is
- 3
The divisors add up to 91924; without 48724 itself that is 43200, so 48724 is deficient (43200 is less than 48724). Euler's totient φ(48724) = 22464 numbers up to 48724 share no factor with it.
- 4
The digits of 48724 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48724 = 2^{2} \times 13 \times 937 \]48724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91924 |
| Euler totient φ(n) | 22464 |
| Square | 2374028176 |
| Cube | 115672148847424 |
| Square root | 220.735135 (= 2√12181) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8724 × |
48724 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and twenty-four |
| Binary (base 2) | 1011111001010100 |
| Octal (base 8) | 137124 |
| Hexadecimal (base 16) | BE54 |
| Base 3 | 2110211121 |
| As time | 48724 seconds = 13 h 32 min 4 s |
Is 48724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48724 ÷ 2 = 24362) | 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 (48724 ÷ 4 = 12181) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 48724 a prime number?
No. 48724 = × 13 × 937, so it is divisible by 2.
What are the factors of 48724?
1, 2, 4, 13, 26, 52, 937, 1874, 3748, 12181, 24362, 48724.
What is 48724 in binary?
1011111001010100 (hexadecimal BE54, octal 137124).
What is the square root of 48724?
About 220.7351, exactly 2√12181.
Is 48724 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48724?
It is a composite number with 12 divisors.