The number 48069
48069 is a composite number with 18 divisors. Its prime factorisation is × × 109. Divisors (18): 1, 3, 7, 9, 21, 49, 63, 109, 147, 327, 441, 763, 981, 2289, 5341, 6867 … 48069.
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How to work it out
- 1
48069 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48069 is composite. Its prime factorisation is
- 3
The divisors add up to 81510; without 48069 itself that is 33441, so 48069 is deficient (33441 is less than 48069). Euler's totient φ(48069) = 27216 numbers up to 48069 share no factor with it.
- 4
The digits of 48069 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48069 = 3^{2} \times 7^{2} \times 109 \]48069 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 81510 |
| Euler totient φ(n) | 27216 |
| Square | 2310628761 |
| Cube | 111069613912509 |
| Square root | 219.246437 (= 21√109) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8069 × |
48069 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and sixty-nine |
| Binary (base 2) | 1011101111000101 |
| Octal (base 8) | 135705 |
| Hexadecimal (base 16) | BBC5 |
| Base 3 | 2102221100 |
| As time | 48069 seconds = 13 h 21 min 9 s |
Is 48069 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 (48069 ÷ 3 = 16023) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48069 ÷ 7 = 6867) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48069 ÷ 9 = 5341) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48069 a prime number?
No. 48069 = × × 109, so it is divisible by 3.
What are the factors of 48069?
1, 3, 7, 9, 21, 49, 63, 109, 147, 327, 441, 763, 981, 2289, 5341, 6867, 16023, 48069.
What is 48069 in binary?
1011101111000101 (hexadecimal BBC5, octal 135705).
What is the square root of 48069?
About 219.2464, exactly 21√109.
Is 48069 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48069?
It is a composite number with 18 divisors.