The number 49009
49009 is the 5037th prime number. Its only divisors are 1 and 49009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49009: the 5037th prime number.
- 2
49009 is prime, so its only factors are 1 and 49009. It is the 5037th prime; the next prime is 49019 and the one before is 49003.
- 3
The divisors add up to 49010; without 49009 itself that is 1, so 49009 is deficient (1 is less than 49009). Euler's totient φ(49009) = 49008 numbers up to 49009 share no factor with it.
- 4
The digits of 49009 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
49009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49010 |
| Euler totient φ(n) | 49008 |
| Square | 2401882081 |
| Cube | 117713838907729 |
| Square root | 221.379764 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9009 × |
49009 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and nine |
| Binary (base 2) | 1011111101110001 |
| Octal (base 8) | 137561 |
| Hexadecimal (base 16) | BF71 |
| Base 3 | 2111020011 |
| As time | 49009 seconds = 13 h 36 min 49 s |
Is 49009 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 49009 a prime number?
Yes. 49009 is divisible only by 1 and itself.
What are the factors of 49009?
1, 49009.
What is 49009 in binary?
1011111101110001 (hexadecimal BF71, octal 137561).
What is the square root of 49009?
About 221.3798.
Is 49009 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49009?
49009 is the 5037th prime number.