The number 7487
7487 is a twin prime (7487 and 7489 are both prime) and the 948th prime number. Its only divisors are 1 and 7487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7487: a twin prime (7487 and 7489 are both prime); the 948th prime number.
- 2
7487 is prime, so its only factors are 1 and 7487. It is the 948th prime; the next prime is 7489 and the one before is 7481.
- 3
The divisors add up to 7488; without 7487 itself that is 1, so 7487 is deficient (1 is less than 7487). Euler's totient φ(7487) = 7486 numbers up to 7487 share no factor with it.
- 4
The digits of 7487 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 70 steps to reach 1.
7487 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 7486 |
| Square | 56055169 |
| Cube | 419685050303 |
| Square root | 86.527452 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.487 × |
7487 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and eighty-seven |
| Binary (base 2) | 1110100111111 |
| Octal (base 8) | 16477 |
| Hexadecimal (base 16) | 1D3F |
| Base 3 | 101021022 |
| As time | 7487 seconds = 2 h 4 min 47 s |
Is 7487 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 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 7) | 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 7) | 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 7487 a prime number?
Yes. 7487 is divisible only by 1 and itself.
What are the factors of 7487?
1, 7487.
What is 7487 in binary?
1110100111111 (hexadecimal 1D3F, octal 16477).
What is the square root of 7487?
About 86.5275.
Is 7487 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7487?
7487 is a twin prime (7487 and 7489 are both prime); the 948th prime number.