The number 449
449 is the 87th prime number. Its only divisors are 1 and 449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 449: the 87th prime number.
- 2
449 is prime, so its only factors are 1 and 449. It is the 87th prime; the next prime is 457 and the one before is 443.
- 3
The divisors add up to 450; without 449 itself that is 1, so 449 is deficient (1 is less than 449). Euler's totient φ(449) = 448 numbers up to 449 share no factor with it.
- 4
The digits of 449 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
449 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 450 |
| Euler totient φ(n) | 448 |
| Square | 201601 |
| Cube | 90518849 |
| Square root | 21.189620 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 115 |
| Scientific notation | 4.49 × |
449 in other forms
| Form | Value |
|---|---|
| In words | four hundred and forty-nine |
| Roman numerals | CDXLIX |
| Binary (base 2) | 111000001 |
| Octal (base 8) | 701 |
| Hexadecimal (base 16) | 1C1 |
| Base 3 | 121122 |
| As time | 449 seconds = 7 min 29 s |
Is 449 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 | 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 | No (remainder 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 449 a prime number?
Yes. 449 is divisible only by 1 and itself.
What are the factors of 449?
1, 449.
What is 449 in binary?
111000001 (hexadecimal 1C1, octal 701).
What is the square root of 449?
About 21.1896.
What is 449 in Roman numerals?
CDXLIX.
Is 449 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 449?
449 is the 87th prime number.