The number 7187
7187 is the 918th prime number. Its only divisors are 1 and 7187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7187: the 918th prime number.
- 2
7187 is prime, so its only factors are 1 and 7187. It is the 918th prime; the next prime is 7193 and the one before is 7177.
- 3
The divisors add up to 7188; without 7187 itself that is 1, so 7187 is deficient (1 is less than 7187). Euler's totient φ(7187) = 7186 numbers up to 7187 share no factor with it.
- 4
The digits of 7187 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
7187 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7188 |
| Euler totient φ(n) | 7186 |
| Square | 51652969 |
| Cube | 371229888203 |
| Square root | 84.776176 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.187 × |
7187 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and eighty-seven |
| Binary (base 2) | 1110000010011 |
| Octal (base 8) | 16023 |
| Hexadecimal (base 16) | 1C13 |
| Base 3 | 100212012 |
| As time | 7187 seconds = 1 h 59 min 47 s |
Is 7187 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 3) | 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 5) | 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 3) | 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7187 a prime number?
Yes. 7187 is divisible only by 1 and itself.
What are the factors of 7187?
1, 7187.
What is 7187 in binary?
1110000010011 (hexadecimal 1C13, octal 16023).
What is the square root of 7187?
About 84.7762.
Is 7187 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7187?
7187 is the 918th prime number.