The number 487
487 is the 93rd prime number. Its only divisors are 1 and 487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 487: the 93rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
487 is prime, so its only factors are 1 and 487. It is the 93rd prime; the next prime is 491 and the one before is 479.
- 3
The divisors add up to 488; without 487 itself that is 1, so 487 is deficient (1 is less than 487). Euler's totient φ(487) = 486 numbers up to 487 share no factor with it.
- 4
The digits of 487 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 141 steps to reach 1.
487 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 488 |
| Euler totient φ(n) | 486 |
| Square | 237169 |
| Cube | 115501303 |
| Square root | 22.068076 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 141 |
| Scientific notation | 4.87 × |
487 in other forms
| Form | Value |
|---|---|
| In words | four hundred and eighty-seven |
| Roman numerals | CDLXXXVII |
| Binary (base 2) | 111100111 |
| Octal (base 8) | 747 |
| Hexadecimal (base 16) | 1E7 |
| Base 3 | 200001 |
| As time | 487 seconds = 8 min 7 s |
Is 487 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 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 1) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 487 a prime number?
Yes. 487 is divisible only by 1 and itself.
What are the factors of 487?
1, 487.
What is 487 in binary?
111100111 (hexadecimal 1E7, octal 747).
What is the square root of 487?
About 22.0681.
What is 487 in Roman numerals?
CDLXXXVII.
Is 487 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 487?
487 is the 93rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.