The number 42072
42072 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1753. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1753, 3506, 5259, 7012, 10518, 14024, 21036, 42072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42072 is composite. Its prime factorisation is
- 3
The divisors add up to 105240; without 42072 itself that is 63168, so 42072 is abundant (63168 is more than 42072). Euler's totient φ(42072) = 14016 numbers up to 42072 share no factor with it.
- 4
The digits of 42072 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42072 = 2^{3} \times 3 \times 1753 \]42072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105240 |
| Euler totient φ(n) | 14016 |
| Square | 1770053184 |
| Cube | 74469677557248 |
| Square root | 205.114602 (= 2√10518) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2072 × |
42072 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seventy-two |
| Binary (base 2) | 1010010001011000 |
| Octal (base 8) | 122130 |
| Hexadecimal (base 16) | A458 |
| Base 3 | 2010201020 |
| As time | 42072 seconds = 11 h 41 min 12 s |
Is 42072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42072 ÷ 2 = 21036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42072 ÷ 3 = 14024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42072 ÷ 4 = 10518) | 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 (42072 ÷ 6 = 7012) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (42072 ÷ 8 = 5259) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42072 ÷ 12 = 3506) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42072 a prime number?
No. 42072 = × 3 × 1753, so it is divisible by 2.
What are the factors of 42072?
1, 2, 3, 4, 6, 8, 12, 24, 1753, 3506, 5259, 7012, 10518, 14024, 21036, 42072.
What is 42072 in binary?
1010010001011000 (hexadecimal A458, octal 122130).
What is the square root of 42072?
About 205.1146, exactly 2√10518.
Is 42072 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42072?
It is a composite number with 16 divisors.