The number 80973
80973 is a composite number with 8 divisors. Its prime factorisation is × 2999. Divisors (8): 1, 3, 9, 27, 2999, 8997, 26991, 80973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80973: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
80973 is composite. Its prime factorisation is
- 3
The divisors add up to 120000; without 80973 itself that is 39027, so 80973 is deficient (39027 is less than 80973). Euler's totient φ(80973) = 53964 numbers up to 80973 share no factor with it.
- 4
The digits of 80973 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80973 = 3^{3} \times 2999 \]80973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 120000 |
| Euler totient φ(n) | 53964 |
| Square | 6556626729 |
| Cube | 530909736127317 |
| Square root | 284.557551 (= 3√8997) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0973 × |
80973 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and seventy-three |
| Binary (base 2) | 10011110001001101 |
| Octal (base 8) | 236115 |
| Hexadecimal (base 16) | 13C4D |
| Base 3 | 11010002000 |
| As time | 80973 seconds = 22 h 29 min 33 s |
Is 80973 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 (80973 ÷ 3 = 26991) | 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 4) | 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 (80973 ÷ 9 = 8997) | 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 2) | 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 80973 a prime number?
No. 80973 = × 2999, so it is divisible by 3.
What are the factors of 80973?
1, 3, 9, 27, 2999, 8997, 26991, 80973.
What is 80973 in binary?
10011110001001101 (hexadecimal 13C4D, octal 236115).
What is the square root of 80973?
About 284.5576, exactly 3√8997.
Is 80973 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80973?
80973 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.