The number 97084
97084 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1867. Divisors (12): 1, 2, 4, 13, 26, 52, 1867, 3734, 7468, 24271, 48542, 97084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97084 is composite. Its prime factorisation is
- 3
The divisors add up to 183064; without 97084 itself that is 85980, so 97084 is deficient (85980 is less than 97084). Euler's totient φ(97084) = 44784 numbers up to 97084 share no factor with it.
- 4
The digits of 97084 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 252 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97084 = 2^{2} \times 13 \times 1867 \]97084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 183064 |
| Euler totient φ(n) | 44784 |
| Square | 9425303056 |
| Cube | 915046121888704 |
| Square root | 311.583055 (= 2√24271) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 252 |
| Scientific notation | 9.7084 × |
97084 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and eighty-four |
| Binary (base 2) | 10111101100111100 |
| Octal (base 8) | 275474 |
| Hexadecimal (base 16) | 17B3C |
| Base 3 | 11221011201 |
| As time | 97084 seconds = 26 h 58 min 4 s |
Is 97084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97084 ÷ 2 = 48542) | 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 | Yes (97084 ÷ 4 = 24271) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97084 a prime number?
No. 97084 = × 13 × 1867, so it is divisible by 2.
What are the factors of 97084?
1, 2, 4, 13, 26, 52, 1867, 3734, 7468, 24271, 48542, 97084.
What is 97084 in binary?
10111101100111100 (hexadecimal 17B3C, octal 275474).
What is the square root of 97084?
About 311.5831, exactly 2√24271.
Is 97084 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97084?
It is a composite number with 12 divisors.