The number 97520
97520 is a composite number with 40 divisors. Its prime factorisation is × 5 × 23 × 53. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 53, 80, 92, 106, 115 … 97520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97520: a Harshad number: divisible by its digit sum 23.
- 2
97520 is composite. Its prime factorisation is
- 3
The divisors add up to 241056; without 97520 itself that is 143536, so 97520 is abundant (143536 is more than 97520). Euler's totient φ(97520) = 36608 numbers up to 97520 share no factor with it.
- 4
The digits of 97520 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97520 = 2^{4} \times 5 \times 23 \times 53 \]97520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 241056 |
| Euler totient φ(n) | 36608 |
| Square | 9510150400 |
| Cube | 927429867008000 |
| Square root | 312.281924 (= 4√6095) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.752 × |
97520 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and twenty |
| Binary (base 2) | 10111110011110000 |
| Octal (base 8) | 276360 |
| Hexadecimal (base 16) | 17CF0 |
| Base 3 | 11221202212 |
| As time | 97520 seconds = 27 h 5 min 20 s |
Is 97520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97520 ÷ 2 = 48760) | 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 (97520 ÷ 4 = 24380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97520 ÷ 5 = 19504) | 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 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 | Yes (97520 ÷ 8 = 12190) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97520 ÷ 10 = 9752) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 97520 a prime number?
No. 97520 = × 5 × 23 × 53, so it is divisible by 2.
What are the factors of 97520?
1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 53, 80, 92, 106, 115, 184, 212, 230, 265, 368, 424, 460, 530, 848, 920, 1060, 1219, 1840, 2120, 2438, 4240, 4876, 6095, 9752, 12190, 19504, 24380, 48760, 97520.
What is 97520 in binary?
10111110011110000 (hexadecimal 17CF0, octal 276360).
What is the square root of 97520?
About 312.2819, exactly 4√6095.
Is 97520 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97520?
97520 is a Harshad number: divisible by its digit sum 23.