The number 36997
36997 is the 3923rd prime number. Its only divisors are 1 and 36997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36997: the 3923rd prime number.
- 2
36997 is prime, so its only factors are 1 and 36997. It is the 3923rd prime; the next prime is 37003 and the one before is 36979.
- 3
The divisors add up to 36998; without 36997 itself that is 1, so 36997 is deficient (1 is less than 36997). Euler's totient φ(36997) = 36996 numbers up to 36997 share no factor with it.
- 4
The digits of 36997 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
36997 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36998 |
| Euler totient φ(n) | 36996 |
| Square | 1368778009 |
| Cube | 50640679998973 |
| Square root | 192.346042 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6997 × |
36997 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and ninety-seven |
| Binary (base 2) | 1001000010000101 |
| Octal (base 8) | 110205 |
| Hexadecimal (base 16) | 9085 |
| Base 3 | 1212202021 |
| As time | 36997 seconds = 10 h 16 min 37 s |
Is 36997 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 2) | 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 36997 a prime number?
Yes. 36997 is divisible only by 1 and itself.
What are the factors of 36997?
1, 36997.
What is 36997 in binary?
1001000010000101 (hexadecimal 9085, octal 110205).
What is the square root of 36997?
About 192.3460.
Is 36997 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 36997?
36997 is the 3923rd prime number.