The number 97428
97428 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 353. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 353, 706, 1059, 1412 … 97428.
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How to work it out
- 1
97428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97428 is composite. Its prime factorisation is
- 3
The divisors add up to 237888; without 97428 itself that is 140460, so 97428 is abundant (140460 is more than 97428). Euler's totient φ(97428) = 30976 numbers up to 97428 share no factor with it.
- 4
The digits of 97428 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97428 = 2^{2} \times 3 \times 23 \times 353 \]97428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 237888 |
| Euler totient φ(n) | 30976 |
| Square | 9492215184 |
| Cube | 924807540946752 |
| Square root | 312.134586 (= 2√24357) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7428 × |
97428 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and twenty-eight |
| Binary (base 2) | 10111110010010100 |
| Octal (base 8) | 276224 |
| Hexadecimal (base 16) | 17C94 |
| Base 3 | 11221122110 |
| As time | 97428 seconds = 27 h 3 min 48 s |
Is 97428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97428 ÷ 2 = 48714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97428 ÷ 3 = 32476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97428 ÷ 4 = 24357) | 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 | Yes (97428 ÷ 6 = 16238) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97428 ÷ 12 = 8119) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97428 a prime number?
No. 97428 = × 3 × 23 × 353, so it is divisible by 2.
What are the factors of 97428?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 353, 706, 1059, 1412, 2118, 4236, 8119, 16238, 24357, 32476, 48714, 97428.
What is 97428 in binary?
10111110010010100 (hexadecimal 17C94, octal 276224).
What is the square root of 97428?
About 312.1346, exactly 2√24357.
Is 97428 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97428?
It is a composite number with 24 divisors.