The number 37649
37649 is the 3988th prime number. Its only divisors are 1 and 37649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37649: the 3988th prime number.
- 2
37649 is prime, so its only factors are 1 and 37649. It is the 3988th prime; the next prime is 37657 and the one before is 37643.
- 3
The divisors add up to 37650; without 37649 itself that is 1, so 37649 is deficient (1 is less than 37649). Euler's totient φ(37649) = 37648 numbers up to 37649 share no factor with it.
- 4
The digits of 37649 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
37649 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37650 |
| Euler totient φ(n) | 37648 |
| Square | 1417447201 |
| Cube | 53365469670449 |
| Square root | 194.033502 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7649 × |
37649 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and forty-nine |
| Binary (base 2) | 1001001100010001 |
| Octal (base 8) | 111421 |
| Hexadecimal (base 16) | 9311 |
| Base 3 | 1220122102 |
| As time | 37649 seconds = 10 h 27 min 29 s |
Is 37649 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 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 7) | 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 37649 a prime number?
Yes. 37649 is divisible only by 1 and itself.
What are the factors of 37649?
1, 37649.
What is 37649 in binary?
1001001100010001 (hexadecimal 9311, octal 111421).
What is the square root of 37649?
About 194.0335.
Is 37649 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 37649?
37649 is the 3988th prime number.