The number 4097
4097 is a binary palindrome (1000000000001). Its prime factorisation is 17 × 241. Divisors (4): 1, 17, 241, 4097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4097: a binary palindrome (1000000000001); a semiprime: 17 × 241, the product of two primes.
- 2
4097 is composite. Its prime factorisation is
- 3
The divisors add up to 4356; without 4097 itself that is 259, so 4097 is deficient (259 is less than 4097). Euler's totient φ(4097) = 3840 numbers up to 4097 share no factor with it.
- 4
The digits of 4097 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4097 = 17 \times 241 \]
4097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4356 |
| Euler totient φ(n) | 3840 |
| Square | 16785409 |
| Cube | 68769820673 |
| Square root | 64.007812 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 113 |
| Scientific notation | 4.097 × |
4097 in other forms
| Form | Value |
|---|---|
| In words | four thousand and ninety-seven |
| Binary (base 2) | 1000000000001 |
| Octal (base 8) | 10001 |
| Hexadecimal (base 16) | 1001 |
| Base 3 | 12121202 |
| As time | 4097 seconds = 1 h 8 min 17 s |
Is 4097 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4097 a prime number?
No. 4097 = 17 × 241, so it is divisible by 17.
What are the factors of 4097?
1, 17, 241, 4097.
What is 4097 in binary?
1000000000001 (hexadecimal 1001, octal 10001).
What is the square root of 4097?
About 64.0078.
Is 4097 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4097?
4097 is a binary palindrome (1000000000001); a semiprime: 17 × 241, the product of two primes.