The number 83097
83097 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1319. Divisors (12): 1, 3, 7, 9, 21, 63, 1319, 3957, 9233, 11871, 27699, 83097.
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How to work it out
- 1
What is special about 83097: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83097 is composite. Its prime factorisation is
- 3
The divisors add up to 137280; without 83097 itself that is 54183, so 83097 is deficient (54183 is less than 83097). Euler's totient φ(83097) = 47448 numbers up to 83097 share no factor with it.
- 4
The digits of 83097 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83097 = 3^{2} \times 7 \times 1319 \]83097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 137280 |
| Euler totient φ(n) | 47448 |
| Square | 6905111409 |
| Cube | 573794042753673 |
| Square root | 288.265503 (= 3√9233) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3097 × |
83097 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and ninety-seven |
| Binary (base 2) | 10100010010011001 |
| Octal (base 8) | 242231 |
| Hexadecimal (base 16) | 14499 |
| Base 3 | 11012222200 |
| As time | 83097 seconds = 23 h 4 min 57 s |
Is 83097 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 | Yes (83097 ÷ 3 = 27699) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83097 ÷ 7 = 11871) | 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 | Yes (83097 ÷ 9 = 9233) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83097 a prime number?
No. 83097 = × 7 × 1319, so it is divisible by 3.
What are the factors of 83097?
1, 3, 7, 9, 21, 63, 1319, 3957, 9233, 11871, 27699, 83097.
What is 83097 in binary?
10100010010011001 (hexadecimal 14499, octal 242231).
What is the square root of 83097?
About 288.2655, exactly 3√9233.
Is 83097 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83097?
83097 is a happy number: repeatedly adding the squares of its digits reaches 1.