The number 4887
4887 is a composite number with 8 divisors. Its prime factorisation is × 181. Divisors (8): 1, 3, 9, 27, 181, 543, 1629, 4887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4887: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
4887 is composite. Its prime factorisation is
- 3
The divisors add up to 7280; without 4887 itself that is 2393, so 4887 is deficient (2393 is less than 4887). Euler's totient φ(4887) = 3240 numbers up to 4887 share no factor with it.
- 4
The digits of 4887 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4887 = 3^{3} \times 181 \]4887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7280 |
| Euler totient φ(n) | 3240 |
| Square | 23882769 |
| Cube | 116715092103 |
| Square root | 69.907081 (= 3√543) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.887 × |
4887 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and eighty-seven |
| Binary (base 2) | 1001100010111 |
| Octal (base 8) | 11427 |
| Hexadecimal (base 16) | 1317 |
| Base 3 | 20201000 |
| As time | 4887 seconds = 1 h 21 min 27 s |
Is 4887 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 (4887 ÷ 3 = 1629) | 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 1) | 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 | Yes (4887 ÷ 9 = 543) | 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 4887 a prime number?
No. 4887 = × 181, so it is divisible by 3.
What are the factors of 4887?
1, 3, 9, 27, 181, 543, 1629, 4887.
What is 4887 in binary?
1001100010111 (hexadecimal 1317, octal 11427).
What is the square root of 4887?
About 69.9071, exactly 3√543.
Is 4887 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4887?
4887 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.