The number 873
873 is a composite number with 6 divisors. Its prime factorisation is × 97. Divisors (6): 1, 3, 9, 97, 291, 873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
873 is composite. Its prime factorisation is
- 3
The divisors add up to 1274; without 873 itself that is 401, so 873 is deficient (401 is less than 873). Euler's totient φ(873) = 576 numbers up to 873 share no factor with it.
- 4
The digits of 873 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 873 = 3^{2} \times 97 \]873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1274 |
| Euler totient φ(n) | 576 |
| Square | 762129 |
| Cube | 665338617 |
| Square root | 29.546573 (= 3√97) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 8.73 × |
873 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and seventy-three |
| Roman numerals | DCCCLXXIII |
| Binary (base 2) | 1101101001 |
| Octal (base 8) | 1551 |
| Hexadecimal (base 16) | 369 |
| Base 3 | 1012100 |
| As time | 873 seconds = 14 min 33 s |
Is 873 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 (873 ÷ 3 = 291) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (873 ÷ 9 = 97) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 873 a prime number?
No. 873 = × 97, so it is divisible by 3.
What are the factors of 873?
1, 3, 9, 97, 291, 873.
What is 873 in binary?
1101101001 (hexadecimal 369, octal 1551).
What is the square root of 873?
About 29.5466, exactly 3√97.
What is 873 in Roman numerals?
DCCCLXXIII.
Is 873 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 873?
It is a composite number with 6 divisors.