The number 48867
48867 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 179. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 179, 273, 537, 1253, 2327, 3759, 6981, 16289, 48867.
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How to work it out
- 1
48867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48867 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 48867 itself that is 31773, so 48867 is deficient (31773 is less than 48867). Euler's totient φ(48867) = 25632 numbers up to 48867 share no factor with it.
- 4
The digits of 48867 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48867 = 3 \times 7 \times 13 \times 179 \]
48867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 25632 |
| Square | 2387983689 |
| Cube | 116693598930363 |
| Square root | 221.058816 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8867 × |
48867 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and sixty-seven |
| Binary (base 2) | 1011111011100011 |
| Octal (base 8) | 137343 |
| Hexadecimal (base 16) | BEE3 |
| Base 3 | 2111000220 |
| As time | 48867 seconds = 13 h 34 min 27 s |
Is 48867 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 (48867 ÷ 3 = 16289) | 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 | Yes (48867 ÷ 7 = 6981) | 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 5) | 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 48867 a prime number?
No. 48867 = 3 × 7 × 13 × 179, so it is divisible by 3.
What are the factors of 48867?
1, 3, 7, 13, 21, 39, 91, 179, 273, 537, 1253, 2327, 3759, 6981, 16289, 48867.
What is 48867 in binary?
1011111011100011 (hexadecimal BEE3, octal 137343).
What is the square root of 48867?
About 221.0588.
Is 48867 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48867?
It is a composite number with 16 divisors.