The number 42960
42960 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 179. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 42960.
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How to work it out
- 1
42960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42960 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 42960 itself that is 90960, so 42960 is abundant (90960 is more than 42960). Euler's totient φ(42960) = 11392 numbers up to 42960 share no factor with it.
- 4
The digits of 42960 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42960 = 2^{4} \times 3 \times 5 \times 179 \]42960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 11392 |
| Square | 1845561600 |
| Cube | 79285326336000 |
| Square root | 207.267943 (= 4√2685) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.296 × |
42960 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and sixty |
| Binary (base 2) | 1010011111010000 |
| Octal (base 8) | 123720 |
| Hexadecimal (base 16) | A7D0 |
| Base 3 | 2011221010 |
| As time | 42960 seconds = 11 h 56 min 0 s |
Is 42960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42960 ÷ 2 = 21480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42960 ÷ 3 = 14320) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42960 ÷ 4 = 10740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42960 ÷ 5 = 8592) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42960 ÷ 6 = 7160) | 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 (42960 ÷ 8 = 5370) | 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 | Yes (42960 ÷ 10 = 4296) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42960 ÷ 12 = 3580) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42960 a prime number?
No. 42960 = × 3 × 5 × 179, so it is divisible by 2.
What are the factors of 42960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 179, 240, 358, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 2864, 3580, 4296, 5370, 7160, 8592, 10740, 14320, 21480, 42960.
What is 42960 in binary?
1010011111010000 (hexadecimal A7D0, octal 123720).
What is the square root of 42960?
About 207.2679, exactly 4√2685.
Is 42960 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42960?
It is a composite number with 40 divisors.