The number 38449
38449 is a twin prime (38447 and 38449 are both prime) and the 4055th prime number. Its only divisors are 1 and 38449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38449: a twin prime (38447 and 38449 are both prime); the 4055th prime number.
- 2
38449 is prime, so its only factors are 1 and 38449. It is the 4055th prime; the next prime is 38453 and the one before is 38447.
- 3
The divisors add up to 38450; without 38449 itself that is 1, so 38449 is deficient (1 is less than 38449). Euler's totient φ(38449) = 38448 numbers up to 38449 share no factor with it.
- 4
The digits of 38449 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
38449 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38450 |
| Euler totient φ(n) | 38448 |
| Square | 1478325601 |
| Cube | 56840141032849 |
| Square root | 196.084166 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8449 × |
38449 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and forty-nine |
| Binary (base 2) | 1001011000110001 |
| Octal (base 8) | 113061 |
| Hexadecimal (base 16) | 9631 |
| Base 3 | 1221202001 |
| As time | 38449 seconds = 10 h 40 min 49 s |
Is 38449 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 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 1) | 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 38449 a prime number?
Yes. 38449 is divisible only by 1 and itself.
What are the factors of 38449?
1, 38449.
What is 38449 in binary?
1001011000110001 (hexadecimal 9631, octal 113061).
What is the square root of 38449?
About 196.0842.
Is 38449 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38449?
38449 is a twin prime (38447 and 38449 are both prime); the 4055th prime number.