The number 48609
48609 is a composite number with 12 divisors. Its prime factorisation is × 11 × 491. Divisors (12): 1, 3, 9, 11, 33, 99, 491, 1473, 4419, 5401, 16203, 48609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48609 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48609 is composite. Its prime factorisation is
- 3
The divisors add up to 76752; without 48609 itself that is 28143, so 48609 is deficient (28143 is less than 48609). Euler's totient φ(48609) = 29400 numbers up to 48609 share no factor with it.
- 4
The digits of 48609 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48609 = 3^{2} \times 11 \times 491 \]48609 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76752 |
| Euler totient φ(n) | 29400 |
| Square | 2362834881 |
| Cube | 114855040730529 |
| Square root | 220.474488 (= 3√5401) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8609 × |
48609 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and nine |
| Binary (base 2) | 1011110111100001 |
| Octal (base 8) | 136741 |
| Hexadecimal (base 16) | BDE1 |
| Base 3 | 2110200100 |
| As time | 48609 seconds = 13 h 30 min 9 s |
Is 48609 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 (48609 ÷ 3 = 16203) | 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 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48609 ÷ 9 = 5401) | 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 | Yes (48609 ÷ 11 = 4419) | 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 48609 a prime number?
No. 48609 = × 11 × 491, so it is divisible by 3.
What are the factors of 48609?
1, 3, 9, 11, 33, 99, 491, 1473, 4419, 5401, 16203, 48609.
What is 48609 in binary?
1011110111100001 (hexadecimal BDE1, octal 136741).
What is the square root of 48609?
About 220.4745, exactly 3√5401.
Is 48609 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48609?
It is a composite number with 12 divisors.