The number 97648
97648 is a composite number with 20 divisors. Its prime factorisation is × 17 × 359. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 359, 718, 1436, 2872, 5744, 6103 … 97648.
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How to work it out
- 1
What is special about 97648: a Harshad number: divisible by its digit sum 34.
- 2
97648 is composite. Its prime factorisation is
- 3
The divisors add up to 200880; without 97648 itself that is 103232, so 97648 is abundant (103232 is more than 97648). Euler's totient φ(97648) = 45824 numbers up to 97648 share no factor with it.
- 4
The digits of 97648 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97648 = 2^{4} \times 17 \times 359 \]97648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 200880 |
| Euler totient φ(n) | 45824 |
| Square | 9535131904 |
| Cube | 931086560161792 |
| Square root | 312.486800 (= 4√6103) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7648 × |
97648 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and forty-eight |
| Binary (base 2) | 10111110101110000 |
| Octal (base 8) | 276560 |
| Hexadecimal (base 16) | 17D70 |
| Base 3 | 11221221121 |
| As time | 97648 seconds = 27 h 7 min 28 s |
Is 97648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97648 ÷ 2 = 48824) | 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 (97648 ÷ 4 = 24412) | 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 5) | 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 | Yes (97648 ÷ 8 = 12206) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97648 a prime number?
No. 97648 = × 17 × 359, so it is divisible by 2.
What are the factors of 97648?
1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 359, 718, 1436, 2872, 5744, 6103, 12206, 24412, 48824, 97648.
What is 97648 in binary?
10111110101110000 (hexadecimal 17D70, octal 276560).
What is the square root of 97648?
About 312.4868, exactly 4√6103.
Is 97648 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 97648?
97648 is a Harshad number: divisible by its digit sum 34.