The number 97744
97744 is a composite number with 20 divisors. Its prime factorisation is × 41 × 149. Divisors (20): 1, 2, 4, 8, 16, 41, 82, 149, 164, 298, 328, 596, 656, 1192, 2384, 6109 … 97744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97744 is composite. Its prime factorisation is
- 3
The divisors add up to 195300; without 97744 itself that is 97556, so 97744 is deficient (97556 is less than 97744). Euler's totient φ(97744) = 47360 numbers up to 97744 share no factor with it.
- 4
The digits of 97744 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97744 = 2^{4} \times 41 \times 149 \]97744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 195300 |
| Euler totient φ(n) | 47360 |
| Square | 9553889536 |
| Cube | 933835378806784 |
| Square root | 312.640368 (= 4√6109) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7744 × |
97744 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and forty-four |
| Binary (base 2) | 10111110111010000 |
| Octal (base 8) | 276720 |
| Hexadecimal (base 16) | 17DD0 |
| Base 3 | 11222002011 |
| As time | 97744 seconds = 27 h 9 min 4 s |
Is 97744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97744 ÷ 2 = 48872) | 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 (97744 ÷ 4 = 24436) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (97744 ÷ 8 = 12218) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 9) | 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 97744 a prime number?
No. 97744 = × 41 × 149, so it is divisible by 2.
What are the factors of 97744?
1, 2, 4, 8, 16, 41, 82, 149, 164, 298, 328, 596, 656, 1192, 2384, 6109, 12218, 24436, 48872, 97744.
What is 97744 in binary?
10111110111010000 (hexadecimal 17DD0, octal 276720).
What is the square root of 97744?
About 312.6404, exactly 4√6109.
Is 97744 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97744?
It is a composite number with 20 divisors.