The number 97008
97008 is a composite number with 40 divisors. Its prime factorisation is × 3 × 43 × 47. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 47, 48, 86, 94, 129, 141 … 97008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97008: a Harshad number: divisible by its digit sum 24.
- 2
97008 is composite. Its prime factorisation is
- 3
The divisors add up to 261888; without 97008 itself that is 164880, so 97008 is abundant (164880 is more than 97008). Euler's totient φ(97008) = 30912 numbers up to 97008 share no factor with it.
- 4
The digits of 97008 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97008 = 2^{4} \times 3 \times 43 \times 47 \]97008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 261888 |
| Euler totient φ(n) | 30912 |
| Square | 9410552064 |
| Cube | 912898834624512 |
| Square root | 311.461073 (= 4√6063) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7008 × |
97008 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and eight |
| Binary (base 2) | 10111101011110000 |
| Octal (base 8) | 275360 |
| Hexadecimal (base 16) | 17AF0 |
| Base 3 | 11221001220 |
| As time | 97008 seconds = 26 h 56 min 48 s |
Is 97008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97008 ÷ 2 = 48504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97008 ÷ 3 = 32336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97008 ÷ 4 = 24252) | 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 (97008 ÷ 6 = 16168) | 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 | Yes (97008 ÷ 8 = 12126) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97008 ÷ 12 = 8084) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97008 a prime number?
No. 97008 = × 3 × 43 × 47, so it is divisible by 2.
What are the factors of 97008?
1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 47, 48, 86, 94, 129, 141, 172, 188, 258, 282, 344, 376, 516, 564, 688, 752, 1032, 1128, 2021, 2064, 2256, 4042, 6063, 8084, 12126, 16168, 24252, 32336, 48504, 97008.
What is 97008 in binary?
10111101011110000 (hexadecimal 17AF0, octal 275360).
What is the square root of 97008?
About 311.4611, exactly 4√6063.
Is 97008 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 97008?
97008 is a Harshad number: divisible by its digit sum 24.