The number 4049
4049 is a twin prime (4049 and 4051 are both prime) and the 558th prime number. Its only divisors are 1 and 4049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4049: a twin prime (4049 and 4051 are both prime); the 558th prime number.
- 2
4049 is prime, so its only factors are 1 and 4049. It is the 558th prime; the next prime is 4051 and the one before is 4027.
- 3
The divisors add up to 4050; without 4049 itself that is 1, so 4049 is deficient (1 is less than 4049). Euler's totient φ(4049) = 4048 numbers up to 4049 share no factor with it.
- 4
The digits of 4049 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 64 steps to reach 1.
4049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4050 |
| Euler totient φ(n) | 4048 |
| Square | 16394401 |
| Cube | 66380929649 |
| Square root | 63.631753 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.049 × |
4049 in other forms
| Form | Value |
|---|---|
| In words | four thousand and forty-nine |
| Binary (base 2) | 111111010001 |
| Octal (base 8) | 7721 |
| Hexadecimal (base 16) | FD1 |
| Base 3 | 12112222 |
| As time | 4049 seconds = 1 h 7 min 29 s |
Is 4049 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 3) | 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 1) | 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 4049 a prime number?
Yes. 4049 is divisible only by 1 and itself.
What are the factors of 4049?
1, 4049.
What is 4049 in binary?
111111010001 (hexadecimal FD1, octal 7721).
What is the square root of 4049?
About 63.6318.
Is 4049 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4049?
4049 is a twin prime (4049 and 4051 are both prime); the 558th prime number.