The number 97121
97121 is a composite number with 8 divisors. Its prime factorisation is 17 × 29 × 197. Divisors (8): 1, 17, 29, 197, 493, 3349, 5713, 97121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97121 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97121 is composite. Its prime factorisation is
- 3
The divisors add up to 106920; without 97121 itself that is 9799, so 97121 is deficient (9799 is less than 97121). Euler's totient φ(97121) = 87808 numbers up to 97121 share no factor with it.
- 4
The digits of 97121 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97121 = 17 \times 29 \times 197 \]
97121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 106920 |
| Euler totient φ(n) | 87808 |
| Square | 9432488641 |
| Cube | 916092729302561 |
| Square root | 311.642423 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7121 × |
97121 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and twenty-one |
| Binary (base 2) | 10111101101100001 |
| Octal (base 8) | 275541 |
| Hexadecimal (base 16) | 17B61 |
| Base 3 | 11221020002 |
| As time | 97121 seconds = 26 h 58 min 41 s |
Is 97121 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 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 97121 a prime number?
No. 97121 = 17 × 29 × 197, so it is divisible by 17.
What are the factors of 97121?
1, 17, 29, 197, 493, 3349, 5713, 97121.
What is 97121 in binary?
10111101101100001 (hexadecimal 17B61, octal 275541).
What is the square root of 97121?
About 311.6424.
Is 97121 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97121?
It is a composite number with 8 divisors.