The number 97348
97348 is a composite number with 6 divisors. Its prime factorisation is × 24337. Divisors (6): 1, 2, 4, 24337, 48674, 97348.
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How to work it out
- 1
What is special about 97348: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97348 is composite. Its prime factorisation is
- 3
The divisors add up to 170366; without 97348 itself that is 73018, so 97348 is deficient (73018 is less than 97348). Euler's totient φ(97348) = 48672 numbers up to 97348 share no factor with it.
- 4
The digits of 97348 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
\[ 97348 = 2^{2} \times 24337 \]97348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 170366 |
| Euler totient φ(n) | 48672 |
| Square | 9476633104 |
| Cube | 922531279408192 |
| Square root | 312.006410 (= 2√24337) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7348 × |
97348 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and forty-eight |
| Binary (base 2) | 10111110001000100 |
| Octal (base 8) | 276104 |
| Hexadecimal (base 16) | 17C44 |
| Base 3 | 11221112111 |
| As time | 97348 seconds = 27 h 2 min 28 s |
Is 97348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97348 ÷ 2 = 48674) | 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 (97348 ÷ 4 = 24337) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 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 97348 a prime number?
No. 97348 = × 24337, so it is divisible by 2.
What are the factors of 97348?
1, 2, 4, 24337, 48674, 97348.
What is 97348 in binary?
10111110001000100 (hexadecimal 17C44, octal 276104).
What is the square root of 97348?
About 312.0064, exactly 2√24337.
Is 97348 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97348?
97348 is a happy number: repeatedly adding the squares of its digits reaches 1.