The number 72801
72801 is a composite number with 6 divisors. Its prime factorisation is × 8089. Divisors (6): 1, 3, 9, 8089, 24267, 72801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72801 is composite. Its prime factorisation is
- 3
The divisors add up to 105170; without 72801 itself that is 32369, so 72801 is deficient (32369 is less than 72801). Euler's totient φ(72801) = 48528 numbers up to 72801 share no factor with it.
- 4
The digits of 72801 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72801 = 3^{2} \times 8089 \]72801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 105170 |
| Euler totient φ(n) | 48528 |
| Square | 5299985601 |
| Cube | 385844251738401 |
| Square root | 269.816604 (= 3√8089) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2801 × |
72801 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and one |
| Binary (base 2) | 10001110001100001 |
| Octal (base 8) | 216141 |
| Hexadecimal (base 16) | 11C61 |
| Base 3 | 10200212100 |
| As time | 72801 seconds = 20 h 13 min 21 s |
Is 72801 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 (72801 ÷ 3 = 24267) | 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 1) | 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 1) | 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 (72801 ÷ 9 = 8089) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 72801 a prime number?
No. 72801 = × 8089, so it is divisible by 3.
What are the factors of 72801?
1, 3, 9, 8089, 24267, 72801.
What is 72801 in binary?
10001110001100001 (hexadecimal 11C61, octal 216141).
What is the square root of 72801?
About 269.8166, exactly 3√8089.
Is 72801 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72801?
It is a composite number with 6 divisors.