The number 48267
48267 is a composite number with 12 divisors. Its prime factorisation is × 31 × 173. Divisors (12): 1, 3, 9, 31, 93, 173, 279, 519, 1557, 5363, 16089, 48267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48267 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48267 is composite. Its prime factorisation is
- 3
The divisors add up to 72384; without 48267 itself that is 24117, so 48267 is deficient (24117 is less than 48267). Euler's totient φ(48267) = 30960 numbers up to 48267 share no factor with it.
- 4
The digits of 48267 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48267 = 3^{2} \times 31 \times 173 \]48267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72384 |
| Euler totient φ(n) | 30960 |
| Square | 2329703289 |
| Cube | 112447788650163 |
| Square root | 219.697519 (= 3√5363) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8267 × |
48267 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and sixty-seven |
| Binary (base 2) | 1011110010001011 |
| Octal (base 8) | 136213 |
| Hexadecimal (base 16) | BC8B |
| Base 3 | 2110012200 |
| As time | 48267 seconds = 13 h 24 min 27 s |
Is 48267 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 (48267 ÷ 3 = 16089) | 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 2) | 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 | Yes (48267 ÷ 9 = 5363) | 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 10) | 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 48267 a prime number?
No. 48267 = × 31 × 173, so it is divisible by 3.
What are the factors of 48267?
1, 3, 9, 31, 93, 173, 279, 519, 1557, 5363, 16089, 48267.
What is 48267 in binary?
1011110010001011 (hexadecimal BC8B, octal 136213).
What is the square root of 48267?
About 219.6975, exactly 3√5363.
Is 48267 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48267?
It is a composite number with 12 divisors.