The number 72804
72804 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6067. Divisors (12): 1, 2, 3, 4, 6, 12, 6067, 12134, 18201, 24268, 36402, 72804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72804 is composite. Its prime factorisation is
- 3
The divisors add up to 169904; without 72804 itself that is 97100, so 72804 is abundant (97100 is more than 72804). Euler's totient φ(72804) = 24264 numbers up to 72804 share no factor with it.
- 4
The digits of 72804 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72804 = 2^{2} \times 3 \times 6067 \]72804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 169904 |
| Euler totient φ(n) | 24264 |
| Square | 5300422416 |
| Cube | 385891953574464 |
| Square root | 269.822164 (= 2√18201) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.2804 × |
72804 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and four |
| Binary (base 2) | 10001110001100100 |
| Octal (base 8) | 216144 |
| Hexadecimal (base 16) | 11C64 |
| Base 3 | 10200212110 |
| As time | 72804 seconds = 20 h 13 min 24 s |
Is 72804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72804 ÷ 2 = 36402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72804 ÷ 3 = 24268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72804 ÷ 4 = 18201) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72804 ÷ 6 = 12134) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (72804 ÷ 12 = 6067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72804 a prime number?
No. 72804 = × 3 × 6067, so it is divisible by 2.
What are the factors of 72804?
1, 2, 3, 4, 6, 12, 6067, 12134, 18201, 24268, 36402, 72804.
What is 72804 in binary?
10001110001100100 (hexadecimal 11C64, octal 216144).
What is the square root of 72804?
About 269.8222, exactly 2√18201.
Is 72804 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72804?
72804 is a happy number: repeatedly adding the squares of its digits reaches 1.