The number 72873
72873 is a composite number with 8 divisors. Its prime factorisation is × 2699. Divisors (8): 1, 3, 9, 27, 2699, 8097, 24291, 72873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72873: a Harshad number: divisible by its digit sum 27.
- 2
72873 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 72873 itself that is 35127, so 72873 is deficient (35127 is less than 72873). Euler's totient φ(72873) = 48564 numbers up to 72873 share no factor with it.
- 4
The digits of 72873 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72873 = 3^{3} \times 2699 \]72873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 48564 |
| Square | 5310474129 |
| Cube | 386990181202617 |
| Square root | 269.949995 (= 3√8097) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.2873 × |
72873 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and seventy-three |
| Binary (base 2) | 10001110010101001 |
| Octal (base 8) | 216251 |
| Hexadecimal (base 16) | 11CA9 |
| Base 3 | 10200222000 |
| As time | 72873 seconds = 20 h 14 min 33 s |
Is 72873 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 (72873 ÷ 3 = 24291) | 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 (72873 ÷ 9 = 8097) | 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 9) | 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 72873 a prime number?
No. 72873 = × 2699, so it is divisible by 3.
What are the factors of 72873?
1, 3, 9, 27, 2699, 8097, 24291, 72873.
What is 72873 in binary?
10001110010101001 (hexadecimal 11CA9, octal 216251).
What is the square root of 72873?
About 269.9500, exactly 3√8097.
Is 72873 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72873?
72873 is a Harshad number: divisible by its digit sum 27.