The number 39749
39749 is the 4178th prime number. Its only divisors are 1 and 39749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39749: the 4178th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39749 is prime, so its only factors are 1 and 39749. It is the 4178th prime; the next prime is 39761 and the one before is 39733.
- 3
The divisors add up to 39750; without 39749 itself that is 1, so 39749 is deficient (1 is less than 39749). Euler's totient φ(39749) = 39748 numbers up to 39749 share no factor with it.
- 4
The digits of 39749 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
39749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39750 |
| Euler totient φ(n) | 39748 |
| Square | 1579983001 |
| Cube | 62802744306749 |
| Square root | 199.371513 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.9749 × |
39749 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and forty-nine |
| Binary (base 2) | 1001101101000101 |
| Octal (base 8) | 115505 |
| Hexadecimal (base 16) | 9B45 |
| Base 3 | 2000112012 |
| As time | 39749 seconds = 11 h 2 min 29 s |
Is 39749 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 39749 a prime number?
Yes. 39749 is divisible only by 1 and itself.
What are the factors of 39749?
1, 39749.
What is 39749 in binary?
1001101101000101 (hexadecimal 9B45, octal 115505).
What is the square root of 39749?
About 199.3715.
Is 39749 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 39749?
39749 is the 4178th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.