The number 48209
48209 is a composite number with 8 divisors. Its prime factorisation is 7 × 71 × 97. Divisors (8): 1, 7, 71, 97, 497, 679, 6887, 48209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48209 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 48209 itself that is 8239, so 48209 is deficient (8239 is less than 48209). Euler's totient φ(48209) = 40320 numbers up to 48209 share no factor with it.
- 4
The digits of 48209 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48209 = 7 \times 71 \times 97 \]
48209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 40320 |
| Square | 2324107681 |
| Cube | 112042907193329 |
| Square root | 219.565480 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8209 × |
48209 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and nine |
| Binary (base 2) | 1011110001010001 |
| Octal (base 8) | 136121 |
| Hexadecimal (base 16) | BC51 |
| Base 3 | 2110010112 |
| As time | 48209 seconds = 13 h 23 min 29 s |
Is 48209 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48209 ÷ 7 = 6887) | 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 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48209 a prime number?
No. 48209 = 7 × 71 × 97, so it is divisible by 7.
What are the factors of 48209?
1, 7, 71, 97, 497, 679, 6887, 48209.
What is 48209 in binary?
1011110001010001 (hexadecimal BC51, octal 136121).
What is the square root of 48209?
About 219.5655.
Is 48209 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48209?
It is a composite number with 8 divisors.