The number 876
876 is a composite number with 12 divisors. Its prime factorisation is × 3 × 73. Divisors (12): 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
876 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
876 is composite. Its prime factorisation is
- 3
The divisors add up to 2072; without 876 itself that is 1196, so 876 is abundant (1196 is more than 876). Euler's totient φ(876) = 288 numbers up to 876 share no factor with it.
- 4
The digits of 876 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 876 = 2^{2} \times 3 \times 73 \]876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2072 |
| Euler totient φ(n) | 288 |
| Square | 767376 |
| Cube | 672221376 |
| Square root | 29.597297 (= 2√219) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 8.76 × |
876 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and seventy-six |
| Roman numerals | DCCCLXXVI |
| Binary (base 2) | 1101101100 |
| Octal (base 8) | 1554 |
| Hexadecimal (base 16) | 36C |
| Base 3 | 1012110 |
| As time | 876 seconds = 14 min 36 s |
Is 876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (876 ÷ 2 = 438) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (876 ÷ 3 = 292) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (876 ÷ 4 = 219) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (876 ÷ 6 = 146) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (876 ÷ 12 = 73) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 876 a prime number?
No. 876 = × 3 × 73, so it is divisible by 2.
What are the factors of 876?
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876.
What is 876 in binary?
1101101100 (hexadecimal 36C, octal 1554).
What is the square root of 876?
About 29.5973, exactly 2√219.
What is 876 in Roman numerals?
DCCCLXXVI.
Is 876 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 876?
It is a composite number with 12 divisors.