The number 37117
37117 is the 3934th prime number. Its only divisors are 1 and 37117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37117: the 3934th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37117 is prime, so its only factors are 1 and 37117. It is the 3934th prime; the next prime is 37123 and the one before is 37097.
- 3
The divisors add up to 37118; without 37117 itself that is 1, so 37117 is deficient (1 is less than 37117). Euler's totient φ(37117) = 37116 numbers up to 37117 share no factor with it.
- 4
The digits of 37117 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
37117 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37118 |
| Euler totient φ(n) | 37116 |
| Square | 1377671689 |
| Cube | 51135040080613 |
| Square root | 192.657728 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7117 × |
37117 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and seventeen |
| Binary (base 2) | 1001000011111101 |
| Octal (base 8) | 110375 |
| Hexadecimal (base 16) | 90FD |
| Base 3 | 1212220201 |
| As time | 37117 seconds = 10 h 18 min 37 s |
Is 37117 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 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 1) | 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 3) | 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 37117 a prime number?
Yes. 37117 is divisible only by 1 and itself.
What are the factors of 37117?
1, 37117.
What is 37117 in binary?
1001000011111101 (hexadecimal 90FD, octal 110375).
What is the square root of 37117?
About 192.6577.
Is 37117 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37117?
37117 is the 3934th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.