The number 97724
97724 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2221. Divisors (12): 1, 2, 4, 11, 22, 44, 2221, 4442, 8884, 24431, 48862, 97724.
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How to work it out
- 1
97724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97724 is composite. Its prime factorisation is
- 3
The divisors add up to 186648; without 97724 itself that is 88924, so 97724 is deficient (88924 is less than 97724). Euler's totient φ(97724) = 44400 numbers up to 97724 share no factor with it.
- 4
The digits of 97724 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97724 = 2^{2} \times 11 \times 2221 \]97724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 186648 |
| Euler totient φ(n) | 44400 |
| Square | 9549980176 |
| Cube | 933262262719424 |
| Square root | 312.608381 (= 2√24431) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7724 × |
97724 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and twenty-four |
| Binary (base 2) | 10111110110111100 |
| Octal (base 8) | 276674 |
| Hexadecimal (base 16) | 17DBC |
| Base 3 | 11222001102 |
| As time | 97724 seconds = 27 h 8 min 44 s |
Is 97724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97724 ÷ 2 = 48862) | 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 | Yes (97724 ÷ 4 = 24431) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97724 ÷ 11 = 8884) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97724 a prime number?
No. 97724 = × 11 × 2221, so it is divisible by 2.
What are the factors of 97724?
1, 2, 4, 11, 22, 44, 2221, 4442, 8884, 24431, 48862, 97724.
What is 97724 in binary?
10111110110111100 (hexadecimal 17DBC, octal 276674).
What is the square root of 97724?
About 312.6084, exactly 2√24431.
Is 97724 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97724?
It is a composite number with 12 divisors.