The number 48409
48409 is a twin prime (48407 and 48409 are both prime) and the 4980th prime number. Its only divisors are 1 and 48409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48409: a twin prime (48407 and 48409 are both prime); the 4980th prime number.
- 2
48409 is prime, so its only factors are 1 and 48409. It is the 4980th prime; the next prime is 48413 and the one before is 48407.
- 3
The divisors add up to 48410; without 48409 itself that is 1, so 48409 is deficient (1 is less than 48409). Euler's totient φ(48409) = 48408 numbers up to 48409 share no factor with it.
- 4
The digits of 48409 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
48409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48410 |
| Euler totient φ(n) | 48408 |
| Square | 2343431281 |
| Cube | 113443164881929 |
| Square root | 220.020454 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8409 × |
48409 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and nine |
| Binary (base 2) | 1011110100011001 |
| Octal (base 8) | 136431 |
| Hexadecimal (base 16) | BD19 |
| Base 3 | 2110101221 |
| As time | 48409 seconds = 13 h 26 min 49 s |
Is 48409 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48409 a prime number?
Yes. 48409 is divisible only by 1 and itself.
What are the factors of 48409?
1, 48409.
What is 48409 in binary?
1011110100011001 (hexadecimal BD19, octal 136431).
What is the square root of 48409?
About 220.0205.
Is 48409 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48409?
48409 is a twin prime (48407 and 48409 are both prime); the 4980th prime number.