The number 37097
37097 is the 3933rd prime number. Its only divisors are 1 and 37097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37097: the 3933rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37097 is prime, so its only factors are 1 and 37097. It is the 3933rd prime; the next prime is 37117 and the one before is 37087.
- 3
The divisors add up to 37098; without 37097 itself that is 1, so 37097 is deficient (1 is less than 37097). Euler's totient φ(37097) = 37096 numbers up to 37097 share no factor with it.
- 4
The digits of 37097 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
37097 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37098 |
| Euler totient φ(n) | 37096 |
| Square | 1376187409 |
| Cube | 51052424311673 |
| Square root | 192.605815 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7097 × |
37097 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and ninety-seven |
| Binary (base 2) | 1001000011101001 |
| Octal (base 8) | 110351 |
| Hexadecimal (base 16) | 90E9 |
| Base 3 | 1212212222 |
| As time | 37097 seconds = 10 h 18 min 17 s |
Is 37097 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 2) | 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 4) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 37097 a prime number?
Yes. 37097 is divisible only by 1 and itself.
What are the factors of 37097?
1, 37097.
What is 37097 in binary?
1001000011101001 (hexadecimal 90E9, octal 110351).
What is the square root of 37097?
About 192.6058.
Is 37097 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37097?
37097 is the 3933rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.