The number 9873
9873 is a composite number with 6 divisors. Its prime factorisation is × 1097. Divisors (6): 1, 3, 9, 1097, 3291, 9873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9873: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9873 is composite. Its prime factorisation is
- 3
The divisors add up to 14274; without 9873 itself that is 4401, so 9873 is deficient (4401 is less than 9873). Euler's totient φ(9873) = 6576 numbers up to 9873 share no factor with it.
- 4
The digits of 9873 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9873 = 3^{2} \times 1097 \]9873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14274 |
| Euler totient φ(n) | 6576 |
| Square | 97476129 |
| Cube | 962381821617 |
| Square root | 99.362971 (= 3√1097) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.873 × |
9873 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and seventy-three |
| Binary (base 2) | 10011010010001 |
| Octal (base 8) | 23221 |
| Hexadecimal (base 16) | 2691 |
| Base 3 | 111112200 |
| As time | 9873 seconds = 2 h 44 min 33 s |
Is 9873 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 (9873 ÷ 3 = 3291) | 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 3) | 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 (9873 ÷ 9 = 1097) | 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 6) | 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 9873 a prime number?
No. 9873 = × 1097, so it is divisible by 3.
What are the factors of 9873?
1, 3, 9, 1097, 3291, 9873.
What is 9873 in binary?
10011010010001 (hexadecimal 2691, octal 23221).
What is the square root of 9873?
About 99.3630, exactly 3√1097.
Is 9873 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9873?
9873 is a happy number: repeatedly adding the squares of its digits reaches 1.