The number 42160
42160 is a composite number with 40 divisors. Its prime factorisation is × 5 × 17 × 31. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 31, 34, 40, 62, 68, 80, 85 … 42160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42160 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 42160 itself that is 64976, so 42160 is abundant (64976 is more than 42160). Euler's totient φ(42160) = 15360 numbers up to 42160 share no factor with it.
- 4
The digits of 42160 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42160 = 2^{4} \times 5 \times 17 \times 31 \]42160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 15360 |
| Square | 1777465600 |
| Cube | 74937949696000 |
| Square root | 205.329004 (= 4√2635) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.216 × |
42160 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and sixty |
| Binary (base 2) | 1010010010110000 |
| Octal (base 8) | 122260 |
| Hexadecimal (base 16) | A4B0 |
| Base 3 | 2010211111 |
| As time | 42160 seconds = 11 h 42 min 40 s |
Is 42160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42160 ÷ 2 = 21080) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42160 ÷ 4 = 10540) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42160 ÷ 5 = 8432) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (42160 ÷ 8 = 5270) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42160 ÷ 10 = 4216) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42160 a prime number?
No. 42160 = × 5 × 17 × 31, so it is divisible by 2.
What are the factors of 42160?
1, 2, 4, 5, 8, 10, 16, 17, 20, 31, 34, 40, 62, 68, 80, 85, 124, 136, 155, 170, 248, 272, 310, 340, 496, 527, 620, 680, 1054, 1240, 1360, 2108, 2480, 2635, 4216, 5270, 8432, 10540, 21080, 42160.
What is 42160 in binary?
1010010010110000 (hexadecimal A4B0, octal 122260).
What is the square root of 42160?
About 205.3290, exactly 4√2635.
Is 42160 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42160?
It is a composite number with 40 divisors.