The number 97504
97504 is a composite number with 24 divisors. Its prime factorisation is × 11 × 277. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 277, 352, 554, 1108, 2216 … 97504.
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How to work it out
- 1
97504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97504 is composite. Its prime factorisation is
- 3
The divisors add up to 210168; without 97504 itself that is 112664, so 97504 is abundant (112664 is more than 97504). Euler's totient φ(97504) = 44160 numbers up to 97504 share no factor with it.
- 4
The digits of 97504 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97504 = 2^{5} \times 11 \times 277 \]97504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 210168 |
| Euler totient φ(n) | 44160 |
| Square | 9507030016 |
| Cube | 926973454680064 |
| Square root | 312.256305 (= 4√6094) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7504 × |
97504 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and four |
| Binary (base 2) | 10111110011100000 |
| Octal (base 8) | 276340 |
| Hexadecimal (base 16) | 17CE0 |
| Base 3 | 11221202021 |
| As time | 97504 seconds = 27 h 5 min 4 s |
Is 97504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97504 ÷ 2 = 48752) | 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 (97504 ÷ 4 = 24376) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (97504 ÷ 8 = 12188) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97504 ÷ 11 = 8864) | 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 97504 a prime number?
No. 97504 = × 11 × 277, so it is divisible by 2.
What are the factors of 97504?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 277, 352, 554, 1108, 2216, 3047, 4432, 6094, 8864, 12188, 24376, 48752, 97504.
What is 97504 in binary?
10111110011100000 (hexadecimal 17CE0, octal 276340).
What is the square root of 97504?
About 312.2563, exactly 4√6094.
Is 97504 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97504?
It is a composite number with 24 divisors.