The number 1487
1487 is a twin prime (1487 and 1489 are both prime) and the 236th prime number. Its only divisors are 1 and 1487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1487: a twin prime (1487 and 1489 are both prime); the 236th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1487 is prime, so its only factors are 1 and 1487. It is the 236th prime; the next prime is 1489 and the one before is 1483.
- 3
The divisors add up to 1488; without 1487 itself that is 1, so 1487 is deficient (1 is less than 1487). Euler's totient φ(1487) = 1486 numbers up to 1487 share no factor with it.
- 4
The digits of 1487 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
1487 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1488 |
| Euler totient φ(n) | 1486 |
| Square | 2211169 |
| Cube | 3288008303 |
| Square root | 38.561639 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 1.487 × |
1487 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and eighty-seven |
| Roman numerals | MCDLXXXVII |
| Binary (base 2) | 10111001111 |
| Octal (base 8) | 2717 |
| Hexadecimal (base 16) | 5CF |
| Base 3 | 2001002 |
| As time | 1487 seconds = 24 min 47 s |
Is 1487 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 1487 a prime number?
Yes. 1487 is divisible only by 1 and itself.
What are the factors of 1487?
1, 1487.
What is 1487 in binary?
10111001111 (hexadecimal 5CF, octal 2717).
What is the square root of 1487?
About 38.5616.
What is 1487 in Roman numerals?
MCDLXXXVII.
Is 1487 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 1487?
1487 is a twin prime (1487 and 1489 are both prime); the 236th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.