The number 42211
42211 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 191. Divisors (8): 1, 13, 17, 191, 221, 2483, 3247, 42211.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42211 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42211 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 42211 itself that is 6173, so 42211 is deficient (6173 is less than 42211). Euler's totient φ(42211) = 36480 numbers up to 42211 share no factor with it.
- 4
The digits of 42211 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42211 = 13 \times 17 \times 191 \]
42211 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 36480 |
| Square | 1781768521 |
| Cube | 75210231039931 |
| Square root | 205.453158 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2211 × |
42211 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eleven |
| Binary (base 2) | 1010010011100011 |
| Octal (base 8) | 122343 |
| Hexadecimal (base 16) | A4E3 |
| Base 3 | 2010220101 |
| As time | 42211 seconds = 11 h 43 min 31 s |
Is 42211 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42211 a prime number?
No. 42211 = 13 × 17 × 191, so it is divisible by 13.
What are the factors of 42211?
1, 13, 17, 191, 221, 2483, 3247, 42211.
What is 42211 in binary?
1010010011100011 (hexadecimal A4E3, octal 122343).
What is the square root of 42211?
About 205.4532.
Is 42211 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42211?
It is a composite number with 8 divisors.