The number 97773
97773 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 23 × 109. Divisors (16): 1, 3, 13, 23, 39, 69, 109, 299, 327, 897, 1417, 2507, 4251, 7521, 32591, 97773.
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How to work it out
- 1
97773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97773 is composite. Its prime factorisation is
- 3
The divisors add up to 147840; without 97773 itself that is 50067, so 97773 is deficient (50067 is less than 97773). Euler's totient φ(97773) = 57024 numbers up to 97773 share no factor with it.
- 4
The digits of 97773 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97773 = 3 \times 13 \times 23 \times 109 \]
97773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 147840 |
| Euler totient φ(n) | 57024 |
| Square | 9559559529 |
| Cube | 934666813828917 |
| Square root | 312.686744 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7773 × |
97773 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and seventy-three |
| Binary (base 2) | 10111110111101101 |
| Octal (base 8) | 276755 |
| Hexadecimal (base 16) | 17DED |
| Base 3 | 11222010020 |
| As time | 97773 seconds = 27 h 9 min 33 s |
Is 97773 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 (97773 ÷ 3 = 32591) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | 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 97773 a prime number?
No. 97773 = 3 × 13 × 23 × 109, so it is divisible by 3.
What are the factors of 97773?
1, 3, 13, 23, 39, 69, 109, 299, 327, 897, 1417, 2507, 4251, 7521, 32591, 97773.
What is 97773 in binary?
10111110111101101 (hexadecimal 17DED, octal 276755).
What is the square root of 97773?
About 312.6867.
Is 97773 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 97773?
It is a composite number with 16 divisors.