The number 72042
72042 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12007. Divisors (8): 1, 2, 3, 6, 12007, 24014, 36021, 72042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72042 is composite. Its prime factorisation is
- 3
The divisors add up to 144096; without 72042 itself that is 72054, so 72042 is abundant (72054 is more than 72042). Euler's totient φ(72042) = 24012 numbers up to 72042 share no factor with it.
- 4
The digits of 72042 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72042 = 2 \times 3 \times 12007 \]
72042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144096 |
| Euler totient φ(n) | 24012 |
| Square | 5190049764 |
| Cube | 373901565098088 |
| Square root | 268.406408 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2042 × |
72042 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and forty-two |
| Binary (base 2) | 10001100101101010 |
| Octal (base 8) | 214552 |
| Hexadecimal (base 16) | 1196A |
| Base 3 | 10122211020 |
| As time | 72042 seconds = 20 h 0 min 42 s |
Is 72042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72042 ÷ 2 = 36021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72042 ÷ 3 = 24014) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72042 ÷ 6 = 12007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72042 a prime number?
No. 72042 = 2 × 3 × 12007, so it is divisible by 2.
What are the factors of 72042?
1, 2, 3, 6, 12007, 24014, 36021, 72042.
What is 72042 in binary?
10001100101101010 (hexadecimal 1196A, octal 214552).
What is the square root of 72042?
About 268.4064.
Is 72042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72042?
It is a composite number with 8 divisors.