The number 97727
97727 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 607. Divisors (8): 1, 7, 23, 161, 607, 4249, 13961, 97727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97727 is composite. Its prime factorisation is
- 3
The divisors add up to 116736; without 97727 itself that is 19009, so 97727 is deficient (19009 is less than 97727). Euler's totient φ(97727) = 79992 numbers up to 97727 share no factor with it.
- 4
The digits of 97727 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 203 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97727 = 7 \times 23 \times 607 \]
97727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 116736 |
| Euler totient φ(n) | 79992 |
| Square | 9550566529 |
| Cube | 933348215179583 |
| Square root | 312.613180 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 203 |
| Scientific notation | 9.7727 × |
97727 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and twenty-seven |
| Binary (base 2) | 10111110110111111 |
| Octal (base 8) | 276677 |
| Hexadecimal (base 16) | 17DBF |
| Base 3 | 11222001112 |
| As time | 97727 seconds = 27 h 8 min 47 s |
Is 97727 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 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97727 ÷ 7 = 13961) | 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 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97727 a prime number?
No. 97727 = 7 × 23 × 607, so it is divisible by 7.
What are the factors of 97727?
1, 7, 23, 161, 607, 4249, 13961, 97727.
What is 97727 in binary?
10111110110111111 (hexadecimal 17DBF, octal 276677).
What is the square root of 97727?
About 312.6132.
Is 97727 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97727?
It is a composite number with 8 divisors.