The number 42520
42520 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1063. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1063, 2126, 4252, 5315, 8504, 10630, 21260, 42520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42520: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42520 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 42520 itself that is 53240, so 42520 is abundant (53240 is more than 42520). Euler's totient φ(42520) = 16992 numbers up to 42520 share no factor with it.
- 4
The digits of 42520 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
\[ 42520 = 2^{3} \times 5 \times 1063 \]42520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 16992 |
| Square | 1807950400 |
| Cube | 76874051008000 |
| Square root | 206.203783 (= 2√10630) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.252 × |
42520 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twenty |
| Binary (base 2) | 1010011000011000 |
| Octal (base 8) | 123030 |
| Hexadecimal (base 16) | A618 |
| Base 3 | 2011022211 |
| As time | 42520 seconds = 11 h 48 min 40 s |
Is 42520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42520 ÷ 2 = 21260) | 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 (42520 ÷ 4 = 10630) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42520 ÷ 5 = 8504) | 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 2) | 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 (42520 ÷ 8 = 5315) | 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 (42520 ÷ 10 = 4252) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42520 a prime number?
No. 42520 = × 5 × 1063, so it is divisible by 2.
What are the factors of 42520?
1, 2, 4, 5, 8, 10, 20, 40, 1063, 2126, 4252, 5315, 8504, 10630, 21260, 42520.
What is 42520 in binary?
1010011000011000 (hexadecimal A618, octal 123030).
What is the square root of 42520?
About 206.2038, exactly 2√10630.
Is 42520 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42520?
42520 is a happy number: repeatedly adding the squares of its digits reaches 1.