The number 1587
1587 is a composite number with 6 divisors. Its prime factorisation is 3 Ć . Divisors (6): 1, 3, 23, 69, 529, 1587.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1587: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1587 is composite. Its prime factorisation is
- 3
The divisors add up to 2212; without 1587 itself that is 625, so 1587 is deficient (625 is less than 1587). Euler's totient Ļ(1587) = 1012 numbers up to 1587 share no factor with it.
- 4
The digits of 1587 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1587 = 3 \times 23^{2} \]1587 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2212 |
| Euler totient Ļ(n) | 1012 |
| Square | 2518569 |
| Cube | 3996969003 |
| Square root | 39.837169 (= 23ā3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 1.587 Ć |
1587 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and eighty-seven |
| Roman numerals | MDLXXXVII |
| Binary (base 2) | 11000110011 |
| Octal (base 8) | 3063 |
| Hexadecimal (base 16) | 633 |
| Base 3 | 2011210 |
| As time | 1587 seconds = 26 min 27 s |
Is 1587 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 | Yes (1587 Ć· 3 = 529) | 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 3) | 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 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1587 a prime number?
No. 1587 = 3 Ć , so it is divisible by 3.
What are the factors of 1587?
1, 3, 23, 69, 529, 1587.
What is 1587 in binary?
11000110011 (hexadecimal 633, octal 3063).
What is the square root of 1587?
About 39.8372, exactly 23ā3.
What is 1587 in Roman numerals?
MDLXXXVII.
Is 1587 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1587?
1587 is a happy number: repeatedly adding the squares of its digits reaches 1.