The number 3449
3449 is the 482nd prime number. Its only divisors are 1 and 3449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3449: the 482nd prime number.
- 2
3449 is prime, so its only factors are 1 and 3449. It is the 482nd prime; the next prime is 3457 and the one before is 3433.
- 3
The divisors add up to 3450; without 3449 itself that is 1, so 3449 is deficient (1 is less than 3449). Euler's totient φ(3449) = 3448 numbers up to 3449 share no factor with it.
- 4
The digits of 3449 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
3449 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3450 |
| Euler totient φ(n) | 3448 |
| Square | 11895601 |
| Cube | 41027927849 |
| Square root | 58.728187 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.449 × |
3449 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and forty-nine |
| Roman numerals | MMMCDXLIX |
| Binary (base 2) | 110101111001 |
| Octal (base 8) | 6571 |
| Hexadecimal (base 16) | D79 |
| Base 3 | 11201202 |
| As time | 3449 seconds = 57 min 29 s |
Is 3449 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 5) | 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 2) | 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 6) | 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 3449 a prime number?
Yes. 3449 is divisible only by 1 and itself.
What are the factors of 3449?
1, 3449.
What is 3449 in binary?
110101111001 (hexadecimal D79, octal 6571).
What is the square root of 3449?
About 58.7282.
What is 3449 in Roman numerals?
MMMCDXLIX.
Is 3449 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3449?
3449 is the 482nd prime number.