The number 97768
97768 is a composite number with 24 divisors. Its prime factorisation is × × 101. Divisors (24): 1, 2, 4, 8, 11, 22, 44, 88, 101, 121, 202, 242, 404, 484, 808, 968 … 97768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97768 is composite. Its prime factorisation is
- 3
The divisors add up to 203490; without 97768 itself that is 105722, so 97768 is abundant (105722 is more than 97768). Euler's totient φ(97768) = 44000 numbers up to 97768 share no factor with it.
- 4
The digits of 97768 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97768 = 2^{3} \times 11^{2} \times 101 \]97768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 203490 |
| Euler totient φ(n) | 44000 |
| Square | 9558581824 |
| Cube | 934523427768832 |
| Square root | 312.678749 (= 22√202) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7768 × |
97768 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and sixty-eight |
| Binary (base 2) | 10111110111101000 |
| Octal (base 8) | 276750 |
| Hexadecimal (base 16) | 17DE8 |
| Base 3 | 11222010001 |
| As time | 97768 seconds = 27 h 9 min 28 s |
Is 97768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97768 ÷ 2 = 48884) | 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 (97768 ÷ 4 = 24442) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (97768 ÷ 8 = 12221) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97768 ÷ 11 = 8888) | 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 97768 a prime number?
No. 97768 = × × 101, so it is divisible by 2.
What are the factors of 97768?
1, 2, 4, 8, 11, 22, 44, 88, 101, 121, 202, 242, 404, 484, 808, 968, 1111, 2222, 4444, 8888, 12221, 24442, 48884, 97768.
What is 97768 in binary?
10111110111101000 (hexadecimal 17DE8, octal 276750).
What is the square root of 97768?
About 312.6787, exactly 22√202.
Is 97768 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 97768?
It is a composite number with 24 divisors.