The number 42202
42202 is a composite number with 4 divisors. Its prime factorisation is 2 × 21101. Divisors (4): 1, 2, 21101, 42202.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42202: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21101, the product of two primes.
- 2
42202 is composite. Its prime factorisation is
- 3
The divisors add up to 63306; without 42202 itself that is 21104, so 42202 is deficient (21104 is less than 42202). Euler's totient φ(42202) = 21100 numbers up to 42202 share no factor with it.
- 4
The digits of 42202 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42202 = 2 \times 21101 \]
42202 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63306 |
| Euler totient φ(n) | 21100 |
| Square | 1781008804 |
| Cube | 75162133546408 |
| Square root | 205.431254 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2202 × |
42202 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and two |
| Binary (base 2) | 1010010011011010 |
| Octal (base 8) | 122332 |
| Hexadecimal (base 16) | A4DA |
| Base 3 | 2010220001 |
| As time | 42202 seconds = 11 h 43 min 22 s |
Is 42202 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42202 ÷ 2 = 21101) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 2) | 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 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42202 a prime number?
No. 42202 = 2 × 21101, so it is divisible by 2.
What are the factors of 42202?
1, 2, 21101, 42202.
What is 42202 in binary?
1010010011011010 (hexadecimal A4DA, octal 122332).
What is the square root of 42202?
About 205.4313.
Is 42202 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42202?
42202 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21101, the product of two primes.