The number 2587
2587 is a composite number with 4 divisors. Its prime factorisation is 13 × 199. Divisors (4): 1, 13, 199, 2587.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2587: a semiprime: 13 × 199, the product of two primes.
- 2
2587 is composite. Its prime factorisation is
- 3
The divisors add up to 2800; without 2587 itself that is 213, so 2587 is deficient (213 is less than 2587). Euler's totient φ(2587) = 2376 numbers up to 2587 share no factor with it.
- 4
The digits of 2587 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2587 = 13 \times 199 \]
2587 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2800 |
| Euler totient φ(n) | 2376 |
| Square | 6692569 |
| Cube | 17313676003 |
| Square root | 50.862560 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 146 |
| Scientific notation | 2.587 × |
2587 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and eighty-seven |
| Roman numerals | MMDLXXXVII |
| Binary (base 2) | 101000011011 |
| Octal (base 8) | 5033 |
| Hexadecimal (base 16) | A1B |
| Base 3 | 10112211 |
| As time | 2587 seconds = 43 min 7 s |
Is 2587 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2587 a prime number?
No. 2587 = 13 × 199, so it is divisible by 13.
What are the factors of 2587?
1, 13, 199, 2587.
What is 2587 in binary?
101000011011 (hexadecimal A1B, octal 5033).
What is the square root of 2587?
About 50.8626.
What is 2587 in Roman numerals?
MMDLXXXVII.
Is 2587 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 2587?
2587 is a semiprime: 13 × 199, the product of two primes.