The number 97443
97443 is a composite number with 12 divisors. Its prime factorisation is × 401. Divisors (12): 1, 3, 9, 27, 81, 243, 401, 1203, 3609, 10827, 32481, 97443.
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How to work it out
- 1
What is special about 97443: a Harshad number: divisible by its digit sum 27.
- 2
97443 is composite. Its prime factorisation is
- 3
The divisors add up to 146328; without 97443 itself that is 48885, so 97443 is deficient (48885 is less than 97443). Euler's totient φ(97443) = 64800 numbers up to 97443 share no factor with it.
- 4
The digits of 97443 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97443 = 3^{5} \times 401 \]97443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 146328 |
| Euler totient φ(n) | 64800 |
| Square | 9495138249 |
| Cube | 925234756397307 |
| Square root | 312.158614 (= 9√1203) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7443 × |
97443 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and forty-three |
| Binary (base 2) | 10111110010100011 |
| Octal (base 8) | 276243 |
| Hexadecimal (base 16) | 17CA3 |
| Base 3 | 11221200000 |
| As time | 97443 seconds = 27 h 4 min 3 s |
Is 97443 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 (97443 ÷ 3 = 32481) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97443 ÷ 9 = 10827) | 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 5) | 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 97443 a prime number?
No. 97443 = × 401, so it is divisible by 3.
What are the factors of 97443?
1, 3, 9, 27, 81, 243, 401, 1203, 3609, 10827, 32481, 97443.
What is 97443 in binary?
10111110010100011 (hexadecimal 17CA3, octal 276243).
What is the square root of 97443?
About 312.1586, exactly 9√1203.
Is 97443 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97443?
97443 is a Harshad number: divisible by its digit sum 27.