The number 97308
97308 is a composite number with 48 divisors. Its prime factorisation is × × 17 × 53. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 53, 54, 68 … 97308.
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How to work it out
- 1
What is special about 97308: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
97308 is composite. Its prime factorisation is
- 3
The divisors add up to 272160; without 97308 itself that is 174852, so 97308 is abundant (174852 is more than 97308). Euler's totient φ(97308) = 29952 numbers up to 97308 share no factor with it.
- 4
The digits of 97308 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
\[ 97308 = 2^{2} \times 3^{3} \times 17 \times 53 \]97308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 272160 |
| Euler totient φ(n) | 29952 |
| Square | 9468846864 |
| Cube | 921394550642112 |
| Square root | 311.942302 (= 6√2703) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7308 × |
97308 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and eight |
| Binary (base 2) | 10111110000011100 |
| Octal (base 8) | 276034 |
| Hexadecimal (base 16) | 17C1C |
| Base 3 | 11221111000 |
| As time | 97308 seconds = 27 h 1 min 48 s |
Is 97308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97308 ÷ 2 = 48654) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97308 ÷ 3 = 32436) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97308 ÷ 4 = 24327) | 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 (97308 ÷ 6 = 16218) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (97308 ÷ 9 = 10812) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97308 ÷ 12 = 8109) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97308 a prime number?
No. 97308 = × × 17 × 53, so it is divisible by 2.
What are the factors of 97308?
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 53, 54, 68, 102, 106, 108, 153, 159, 204, 212, 306, 318, 459, 477, 612, 636, 901, 918, 954, 1431, 1802, 1836, 1908, 2703, 2862, 3604, 5406, 5724, 8109, 10812, 16218, 24327, 32436, 48654, 97308.
What is 97308 in binary?
10111110000011100 (hexadecimal 17C1C, octal 276034).
What is the square root of 97308?
About 311.9423, exactly 6√2703.
Is 97308 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97308?
97308 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.