The number 42220
42220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2111. Divisors (12): 1, 2, 4, 5, 10, 20, 2111, 4222, 8444, 10555, 21110, 42220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42220: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
42220 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 42220 itself that is 46484, so 42220 is abundant (46484 is more than 42220). Euler's totient φ(42220) = 16880 numbers up to 42220 share no factor with it.
- 4
The digits of 42220 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42220 = 2^{2} \times 5 \times 2111 \]42220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 16880 |
| Square | 1782528400 |
| Cube | 75258349048000 |
| Square root | 205.475059 (= 2√10555) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.222 × |
42220 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty |
| Binary (base 2) | 1010010011101100 |
| Octal (base 8) | 122354 |
| Hexadecimal (base 16) | A4EC |
| Base 3 | 2010220201 |
| As time | 42220 seconds = 11 h 43 min 40 s |
Is 42220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42220 ÷ 2 = 21110) | 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 (42220 ÷ 4 = 10555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42220 ÷ 5 = 8444) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42220 ÷ 10 = 4222) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42220 a prime number?
No. 42220 = × 5 × 2111, so it is divisible by 2.
What are the factors of 42220?
1, 2, 4, 5, 10, 20, 2111, 4222, 8444, 10555, 21110, 42220.
What is 42220 in binary?
1010010011101100 (hexadecimal A4EC, octal 122354).
What is the square root of 42220?
About 205.4751, exactly 2√10555.
Is 42220 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42220?
42220 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.