The number 97743
97743 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 1051. Divisors (8): 1, 3, 31, 93, 1051, 3153, 32581, 97743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97743 is composite. Its prime factorisation is
- 3
The divisors add up to 134656; without 97743 itself that is 36913, so 97743 is deficient (36913 is less than 97743). Euler's totient φ(97743) = 63000 numbers up to 97743 share no factor with it.
- 4
The digits of 97743 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97743 = 3 \times 31 \times 1051 \]
97743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 134656 |
| Euler totient φ(n) | 63000 |
| Square | 9553694049 |
| Cube | 933806717431407 |
| Square root | 312.638769 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.7743 × |
97743 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and forty-three |
| Binary (base 2) | 10111110111001111 |
| Octal (base 8) | 276717 |
| Hexadecimal (base 16) | 17DCF |
| Base 3 | 11222002010 |
| As time | 97743 seconds = 27 h 9 min 3 s |
Is 97743 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 (97743 ÷ 3 = 32581) | 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 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 2) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97743 a prime number?
No. 97743 = 3 × 31 × 1051, so it is divisible by 3.
What are the factors of 97743?
1, 3, 31, 93, 1051, 3153, 32581, 97743.
What is 97743 in binary?
10111110111001111 (hexadecimal 17DCF, octal 276717).
What is the square root of 97743?
About 312.6388.
Is 97743 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97743?
It is a composite number with 8 divisors.