The number 97004
97004 is a composite number with 6 divisors. Its prime factorisation is × 24251. Divisors (6): 1, 2, 4, 24251, 48502, 97004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97004 is composite. Its prime factorisation is
- 3
The divisors add up to 169764; without 97004 itself that is 72760, so 97004 is deficient (72760 is less than 97004). Euler's totient φ(97004) = 48500 numbers up to 97004 share no factor with it.
- 4
The digits of 97004 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97004 = 2^{2} \times 24251 \]97004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 169764 |
| Euler totient φ(n) | 48500 |
| Square | 9409776016 |
| Cube | 912785912656064 |
| Square root | 311.454652 (= 2√24251) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7004 × |
97004 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and four |
| Binary (base 2) | 10111101011101100 |
| Octal (base 8) | 275354 |
| Hexadecimal (base 16) | 17AEC |
| Base 3 | 11221001202 |
| As time | 97004 seconds = 26 h 56 min 44 s |
Is 97004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97004 ÷ 2 = 48502) | 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 (97004 ÷ 4 = 24251) | 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 2) | 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 | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97004 a prime number?
No. 97004 = × 24251, so it is divisible by 2.
What are the factors of 97004?
1, 2, 4, 24251, 48502, 97004.
What is 97004 in binary?
10111101011101100 (hexadecimal 17AEC, octal 275354).
What is the square root of 97004?
About 311.4547, exactly 2√24251.
Is 97004 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97004?
It is a composite number with 6 divisors.