The number 8973
8973 is a composite number with 6 divisors. Its prime factorisation is × 997. Divisors (6): 1, 3, 9, 997, 2991, 8973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8973: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8973 is composite. Its prime factorisation is
- 3
The divisors add up to 12974; without 8973 itself that is 4001, so 8973 is deficient (4001 is less than 8973). Euler's totient φ(8973) = 5976 numbers up to 8973 share no factor with it.
- 4
The digits of 8973 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8973 = 3^{2} \times 997 \]8973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12974 |
| Euler totient φ(n) | 5976 |
| Square | 80514729 |
| Cube | 722458663317 |
| Square root | 94.725920 (= 3√997) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.973 × |
8973 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and seventy-three |
| Binary (base 2) | 10001100001101 |
| Octal (base 8) | 21415 |
| Hexadecimal (base 16) | 230D |
| Base 3 | 110022100 |
| As time | 8973 seconds = 2 h 29 min 33 s |
Is 8973 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 (8973 ÷ 3 = 2991) | 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8973 ÷ 9 = 997) | 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 8) | 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 8973 a prime number?
No. 8973 = × 997, so it is divisible by 3.
What are the factors of 8973?
1, 3, 9, 997, 2991, 8973.
What is 8973 in binary?
10001100001101 (hexadecimal 230D, octal 21415).
What is the square root of 8973?
About 94.7259, exactly 3√997.
Is 8973 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8973?
8973 is a happy number: repeatedly adding the squares of its digits reaches 1.