The number 48507
48507 is a composite number with 16 divisors. Its prime factorisation is 3 × 19 × 23 × 37. Divisors (16): 1, 3, 19, 23, 37, 57, 69, 111, 437, 703, 851, 1311, 2109, 2553, 16169, 48507.
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How to work it out
- 1
48507 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48507 is composite. Its prime factorisation is
- 3
The divisors add up to 72960; without 48507 itself that is 24453, so 48507 is deficient (24453 is less than 48507). Euler's totient φ(48507) = 28512 numbers up to 48507 share no factor with it.
- 4
The digits of 48507 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48507 = 3 \times 19 \times 23 \times 37 \]
48507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72960 |
| Euler totient φ(n) | 28512 |
| Square | 2352929049 |
| Cube | 114133529379843 |
| Square root | 220.243048 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8507 × |
48507 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand five hundred and seven |
| Binary (base 2) | 1011110101111011 |
| Octal (base 8) | 136573 |
| Hexadecimal (base 16) | BD7B |
| Base 3 | 2110112120 |
| As time | 48507 seconds = 13 h 28 min 27 s |
Is 48507 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48507 ÷ 3 = 16169) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48507 a prime number?
No. 48507 = 3 × 19 × 23 × 37, so it is divisible by 3.
What are the factors of 48507?
1, 3, 19, 23, 37, 57, 69, 111, 437, 703, 851, 1311, 2109, 2553, 16169, 48507.
What is 48507 in binary?
1011110101111011 (hexadecimal BD7B, octal 136573).
What is the square root of 48507?
About 220.2430.
Is 48507 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48507?
It is a composite number with 16 divisors.