The number 72024
72024 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3001. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3001, 6002, 9003, 12004, 18006, 24008, 36012, 72024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72024 is composite. Its prime factorisation is
- 3
The divisors add up to 180120; without 72024 itself that is 108096, so 72024 is abundant (108096 is more than 72024). Euler's totient φ(72024) = 24000 numbers up to 72024 share no factor with it.
- 4
The digits of 72024 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72024 = 2^{3} \times 3 \times 3001 \]72024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 180120 |
| Euler totient φ(n) | 24000 |
| Square | 5187456576 |
| Cube | 373621372429824 |
| Square root | 268.372875 (= 2√18006) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2024 × |
72024 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and twenty-four |
| Binary (base 2) | 10001100101011000 |
| Octal (base 8) | 214530 |
| Hexadecimal (base 16) | 11958 |
| Base 3 | 10122210120 |
| As time | 72024 seconds = 20 h 0 min 24 s |
Is 72024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72024 ÷ 2 = 36012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72024 ÷ 3 = 24008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72024 ÷ 4 = 18006) | 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 (72024 ÷ 6 = 12004) | 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 | Yes (72024 ÷ 8 = 9003) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72024 ÷ 12 = 6002) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72024 a prime number?
No. 72024 = × 3 × 3001, so it is divisible by 2.
What are the factors of 72024?
1, 2, 3, 4, 6, 8, 12, 24, 3001, 6002, 9003, 12004, 18006, 24008, 36012, 72024.
What is 72024 in binary?
10001100101011000 (hexadecimal 11958, octal 214530).
What is the square root of 72024?
About 268.3729, exactly 2√18006.
Is 72024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72024?
It is a composite number with 16 divisors.