The number 72723
72723 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3463. Divisors (8): 1, 3, 7, 21, 3463, 10389, 24241, 72723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72723: a Harshad number: divisible by its digit sum 21.
- 2
72723 is composite. Its prime factorisation is
- 3
The divisors add up to 110848; without 72723 itself that is 38125, so 72723 is deficient (38125 is less than 72723). Euler's totient φ(72723) = 41544 numbers up to 72723 share no factor with it.
- 4
The digits of 72723 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72723 = 3 \times 7 \times 3463 \]
72723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 110848 |
| Euler totient φ(n) | 41544 |
| Square | 5288634729 |
| Cube | 384605383397067 |
| Square root | 269.672023 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2723 × |
72723 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and twenty-three |
| Binary (base 2) | 10001110000010011 |
| Octal (base 8) | 216023 |
| Hexadecimal (base 16) | 11C13 |
| Base 3 | 10200202110 |
| As time | 72723 seconds = 20 h 12 min 3 s |
Is 72723 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 (72723 ÷ 3 = 24241) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (72723 ÷ 7 = 10389) | 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 3) | 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 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72723 a prime number?
No. 72723 = 3 × 7 × 3463, so it is divisible by 3.
What are the factors of 72723?
1, 3, 7, 21, 3463, 10389, 24241, 72723.
What is 72723 in binary?
10001110000010011 (hexadecimal 11C13, octal 216023).
What is the square root of 72723?
About 269.6720.
Is 72723 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72723?
72723 is a Harshad number: divisible by its digit sum 21.