The number 97624
97624 is a composite number with 8 divisors. Its prime factorisation is × 12203. Divisors (8): 1, 2, 4, 8, 12203, 24406, 48812, 97624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97624 is composite. Its prime factorisation is
- 3
The divisors add up to 183060; without 97624 itself that is 85436, so 97624 is deficient (85436 is less than 97624). Euler's totient φ(97624) = 48808 numbers up to 97624 share no factor with it.
- 4
The digits of 97624 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97624 = 2^{3} \times 12203 \]97624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 183060 |
| Euler totient φ(n) | 48808 |
| Square | 9530445376 |
| Cube | 930400199386624 |
| Square root | 312.448396 (= 2√24406) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7624 × |
97624 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and twenty-four |
| Binary (base 2) | 10111110101011000 |
| Octal (base 8) | 276530 |
| Hexadecimal (base 16) | 17D58 |
| Base 3 | 11221220201 |
| As time | 97624 seconds = 27 h 7 min 4 s |
Is 97624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97624 ÷ 2 = 48812) | 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 (97624 ÷ 4 = 24406) | 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 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 (97624 ÷ 8 = 12203) | 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 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97624 a prime number?
No. 97624 = × 12203, so it is divisible by 2.
What are the factors of 97624?
1, 2, 4, 8, 12203, 24406, 48812, 97624.
What is 97624 in binary?
10111110101011000 (hexadecimal 17D58, octal 276530).
What is the square root of 97624?
About 312.4484, exactly 2√24406.
Is 97624 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97624?
It is a composite number with 8 divisors.