The number 97983
97983 is a composite number with 16 divisors. Its prime factorisation is × 19 × 191. Divisors (16): 1, 3, 9, 19, 27, 57, 171, 191, 513, 573, 1719, 3629, 5157, 10887, 32661, 97983.
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How to work it out
- 1
97983 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97983 is composite. Its prime factorisation is
- 3
The divisors add up to 153600; without 97983 itself that is 55617, so 97983 is deficient (55617 is less than 97983). Euler's totient φ(97983) = 61560 numbers up to 97983 share no factor with it.
- 4
The digits of 97983 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97983 = 3^{3} \times 19 \times 191 \]97983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153600 |
| Euler totient φ(n) | 61560 |
| Square | 9600668289 |
| Cube | 940702280961087 |
| Square root | 313.022363 (= 3√10887) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 172 |
| Scientific notation | 9.7983 × |
97983 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and eighty-three |
| Binary (base 2) | 10111111010111111 |
| Octal (base 8) | 277277 |
| Hexadecimal (base 16) | 17EBF |
| Base 3 | 11222102000 |
| As time | 97983 seconds = 27 h 13 min 3 s |
Is 97983 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 (97983 ÷ 3 = 32661) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97983 ÷ 9 = 10887) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97983 a prime number?
No. 97983 = × 19 × 191, so it is divisible by 3.
What are the factors of 97983?
1, 3, 9, 19, 27, 57, 171, 191, 513, 573, 1719, 3629, 5157, 10887, 32661, 97983.
What is 97983 in binary?
10111111010111111 (hexadecimal 17EBF, octal 277277).
What is the square root of 97983?
About 313.0224, exactly 3√10887.
Is 97983 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 97983?
It is a composite number with 16 divisors.