The number 42920
42920 is a composite number with 32 divisors. Its prime factorisation is × 5 × 29 × 37. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 29, 37, 40, 58, 74, 116, 145, 148, 185 … 42920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42920 is composite. Its prime factorisation is
- 3
The divisors add up to 102600; without 42920 itself that is 59680, so 42920 is abundant (59680 is more than 42920). Euler's totient φ(42920) = 16128 numbers up to 42920 share no factor with it.
- 4
The digits of 42920 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42920 = 2^{3} \times 5 \times 29 \times 37 \]42920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 102600 |
| Euler totient φ(n) | 16128 |
| Square | 1842126400 |
| Cube | 79064065088000 |
| Square root | 207.171427 (= 2√10730) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.292 × |
42920 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twenty |
| Binary (base 2) | 1010011110101000 |
| Octal (base 8) | 123650 |
| Hexadecimal (base 16) | A7A8 |
| Base 3 | 2011212122 |
| As time | 42920 seconds = 11 h 55 min 20 s |
Is 42920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42920 ÷ 2 = 21460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42920 ÷ 4 = 10730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42920 ÷ 5 = 8584) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (42920 ÷ 8 = 5365) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42920 ÷ 10 = 4292) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42920 a prime number?
No. 42920 = × 5 × 29 × 37, so it is divisible by 2.
What are the factors of 42920?
1, 2, 4, 5, 8, 10, 20, 29, 37, 40, 58, 74, 116, 145, 148, 185, 232, 290, 296, 370, 580, 740, 1073, 1160, 1480, 2146, 4292, 5365, 8584, 10730, 21460, 42920.
What is 42920 in binary?
1010011110101000 (hexadecimal A7A8, octal 123650).
What is the square root of 42920?
About 207.1714, exactly 2√10730.
Is 42920 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42920?
It is a composite number with 32 divisors.