The number 97009
97009 is a composite number with 4 divisors. Its prime factorisation is 11 × 8819. Divisors (4): 1, 11, 8819, 97009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97009: a semiprime: 11 × 8819, the product of two primes.
- 2
97009 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 97009 itself that is 8831, so 97009 is deficient (8831 is less than 97009). Euler's totient φ(97009) = 88180 numbers up to 97009 share no factor with it.
- 4
The digits of 97009 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97009 = 11 \times 8819 \]
97009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 88180 |
| Square | 9410746081 |
| Cube | 912927066571729 |
| Square root | 311.462678 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7009 × |
97009 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and nine |
| Binary (base 2) | 10111101011110001 |
| Octal (base 8) | 275361 |
| Hexadecimal (base 16) | 17AF1 |
| Base 3 | 11221001221 |
| As time | 97009 seconds = 26 h 56 min 49 s |
Is 97009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97009 ÷ 11 = 8819) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97009 a prime number?
No. 97009 = 11 × 8819, so it is divisible by 11.
What are the factors of 97009?
1, 11, 8819, 97009.
What is 97009 in binary?
10111101011110001 (hexadecimal 17AF1, octal 275361).
What is the square root of 97009?
About 311.4627.
Is 97009 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97009?
97009 is a semiprime: 11 × 8819, the product of two primes.