The number 97048
97048 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1733. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1733, 3466, 6932, 12131, 13864, 24262, 48524, 97048.
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How to work it out
- 1
What is special about 97048: a Harshad number: divisible by its digit sum 28.
- 2
97048 is composite. Its prime factorisation is
- 3
The divisors add up to 208080; without 97048 itself that is 111032, so 97048 is abundant (111032 is more than 97048). Euler's totient φ(97048) = 41568 numbers up to 97048 share no factor with it.
- 4
The digits of 97048 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97048 = 2^{3} \times 7 \times 1733 \]97048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 208080 |
| Euler totient φ(n) | 41568 |
| Square | 9418314304 |
| Cube | 914028566574592 |
| Square root | 311.525280 (= 2√24262) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 27 |
| Scientific notation | 9.7048 × |
97048 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and forty-eight |
| Binary (base 2) | 10111101100011000 |
| Octal (base 8) | 275430 |
| Hexadecimal (base 16) | 17B18 |
| Base 3 | 11221010101 |
| As time | 97048 seconds = 26 h 57 min 28 s |
Is 97048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97048 ÷ 2 = 48524) | 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 (97048 ÷ 4 = 24262) | 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 | Yes (97048 ÷ 7 = 13864) | 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 (97048 ÷ 8 = 12131) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 97048 a prime number?
No. 97048 = × 7 × 1733, so it is divisible by 2.
What are the factors of 97048?
1, 2, 4, 7, 8, 14, 28, 56, 1733, 3466, 6932, 12131, 13864, 24262, 48524, 97048.
What is 97048 in binary?
10111101100011000 (hexadecimal 17B18, octal 275430).
What is the square root of 97048?
About 311.5253, exactly 2√24262.
Is 97048 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97048?
97048 is a Harshad number: divisible by its digit sum 28.