The number 42972
42972 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3581. Divisors (12): 1, 2, 3, 4, 6, 12, 3581, 7162, 10743, 14324, 21486, 42972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42972 is composite. Its prime factorisation is
- 3
The divisors add up to 100296; without 42972 itself that is 57324, so 42972 is abundant (57324 is more than 42972). Euler's totient φ(42972) = 14320 numbers up to 42972 share no factor with it.
- 4
The digits of 42972 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42972 = 2^{2} \times 3 \times 3581 \]42972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100296 |
| Euler totient φ(n) | 14320 |
| Square | 1846592784 |
| Cube | 79351785114048 |
| Square root | 207.296889 (= 2√10743) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2972 × |
42972 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and seventy-two |
| Binary (base 2) | 1010011111011100 |
| Octal (base 8) | 123734 |
| Hexadecimal (base 16) | A7DC |
| Base 3 | 2011221120 |
| As time | 42972 seconds = 11 h 56 min 12 s |
Is 42972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42972 ÷ 2 = 21486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42972 ÷ 3 = 14324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42972 ÷ 4 = 10743) | 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 (42972 ÷ 6 = 7162) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42972 ÷ 12 = 3581) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42972 a prime number?
No. 42972 = × 3 × 3581, so it is divisible by 2.
What are the factors of 42972?
1, 2, 3, 4, 6, 12, 3581, 7162, 10743, 14324, 21486, 42972.
What is 42972 in binary?
1010011111011100 (hexadecimal A7DC, octal 123734).
What is the square root of 42972?
About 207.2969, exactly 2√10743.
Is 42972 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42972?
It is a composite number with 12 divisors.