The number 42097
42097 is a composite number with 8 divisors. Its prime factorisation is 11 × 43 × 89. Divisors (8): 1, 11, 43, 89, 473, 979, 3827, 42097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42097 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42097 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 42097 itself that is 5423, so 42097 is deficient (5423 is less than 42097). Euler's totient φ(42097) = 36960 numbers up to 42097 share no factor with it.
- 4
The digits of 42097 add up to 22, 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
\[ 42097 = 11 \times 43 \times 89 \]
42097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 36960 |
| Square | 1772157409 |
| Cube | 74602510446673 |
| Square root | 205.175535 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2097 × |
42097 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and ninety-seven |
| Binary (base 2) | 1010010001110001 |
| Octal (base 8) | 122161 |
| Hexadecimal (base 16) | A471 |
| Base 3 | 2010202011 |
| As time | 42097 seconds = 11 h 41 min 37 s |
Is 42097 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 1) | 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 1) | 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 1) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42097 ÷ 11 = 3827) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42097 a prime number?
No. 42097 = 11 × 43 × 89, so it is divisible by 11.
What are the factors of 42097?
1, 11, 43, 89, 473, 979, 3827, 42097.
What is 42097 in binary?
1010010001110001 (hexadecimal A471, octal 122161).
What is the square root of 42097?
About 205.1755.
Is 42097 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42097?
It is a composite number with 8 divisors.