The number 42620
42620 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2131. Divisors (12): 1, 2, 4, 5, 10, 20, 2131, 4262, 8524, 10655, 21310, 42620.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42620 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42620 is composite. Its prime factorisation is
- 3
The divisors add up to 89544; without 42620 itself that is 46924, so 42620 is abundant (46924 is more than 42620). Euler's totient φ(42620) = 17040 numbers up to 42620 share no factor with it.
- 4
The digits of 42620 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42620 = 2^{2} \times 5 \times 2131 \]42620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89544 |
| Euler totient φ(n) | 17040 |
| Square | 1816464400 |
| Cube | 77417712728000 |
| Square root | 206.446119 (= 2√10655) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.262 × |
42620 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and twenty |
| Binary (base 2) | 1010011001111100 |
| Octal (base 8) | 123174 |
| Hexadecimal (base 16) | A67C |
| Base 3 | 2011110112 |
| As time | 42620 seconds = 11 h 50 min 20 s |
Is 42620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42620 ÷ 2 = 21310) | 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 (42620 ÷ 4 = 10655) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42620 ÷ 5 = 8524) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42620 ÷ 10 = 4262) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42620 a prime number?
No. 42620 = × 5 × 2131, so it is divisible by 2.
What are the factors of 42620?
1, 2, 4, 5, 10, 20, 2131, 4262, 8524, 10655, 21310, 42620.
What is 42620 in binary?
1010011001111100 (hexadecimal A67C, octal 123174).
What is the square root of 42620?
About 206.4461, exactly 2√10655.
Is 42620 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42620?
It is a composite number with 12 divisors.