The number 42251
42251 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 167. Divisors (8): 1, 11, 23, 167, 253, 1837, 3841, 42251.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42251 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42251 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 42251 itself that is 6133, so 42251 is deficient (6133 is less than 42251). Euler's totient φ(42251) = 36520 numbers up to 42251 share no factor with it.
- 4
The digits of 42251 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42251 = 11 \times 23 \times 167 \]
42251 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 36520 |
| Square | 1785147001 |
| Cube | 75424245939251 |
| Square root | 205.550480 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2251 × |
42251 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and fifty-one |
| Binary (base 2) | 1010010100001011 |
| Octal (base 8) | 122413 |
| Hexadecimal (base 16) | A50B |
| Base 3 | 2010221212 |
| As time | 42251 seconds = 11 h 44 min 11 s |
Is 42251 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 2) | 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 5) | 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 3) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42251 ÷ 11 = 3841) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42251 a prime number?
No. 42251 = 11 × 23 × 167, so it is divisible by 11.
What are the factors of 42251?
1, 11, 23, 167, 253, 1837, 3841, 42251.
What is 42251 in binary?
1010010100001011 (hexadecimal A50B, octal 122413).
What is the square root of 42251?
About 205.5505.
Is 42251 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42251?
It is a composite number with 8 divisors.