The number 97148
97148 is a composite number with 12 divisors. Its prime factorisation is × 149 × 163. Divisors (12): 1, 2, 4, 149, 163, 298, 326, 596, 652, 24287, 48574, 97148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97148 is composite. Its prime factorisation is
- 3
The divisors add up to 172200; without 97148 itself that is 75052, so 97148 is deficient (75052 is less than 97148). Euler's totient φ(97148) = 47952 numbers up to 97148 share no factor with it.
- 4
The digits of 97148 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97148 = 2^{2} \times 149 \times 163 \]97148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 172200 |
| Euler totient φ(n) | 47952 |
| Square | 9437733904 |
| Cube | 916856973305792 |
| Square root | 311.685739 (= 2√24287) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7148 × |
97148 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and forty-eight |
| Binary (base 2) | 10111101101111100 |
| Octal (base 8) | 275574 |
| Hexadecimal (base 16) | 17B7C |
| Base 3 | 11221021002 |
| As time | 97148 seconds = 26 h 59 min 8 s |
Is 97148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97148 ÷ 2 = 48574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97148 ÷ 4 = 24287) | 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 2) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97148 a prime number?
No. 97148 = × 149 × 163, so it is divisible by 2.
What are the factors of 97148?
1, 2, 4, 149, 163, 298, 326, 596, 652, 24287, 48574, 97148.
What is 97148 in binary?
10111101101111100 (hexadecimal 17B7C, octal 275574).
What is the square root of 97148?
About 311.6857, exactly 2√24287.
Is 97148 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97148?
It is a composite number with 12 divisors.