The number 97240
97240 is a composite number with 64 divisors. Its prime factorisation is × 5 × 11 × 13 × 17. Divisors (64): 1, 2, 4, 5, 8, 10, 11, 13, 17, 20, 22, 26, 34, 40, 44, 52 … 97240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97240: a Harshad number: divisible by its digit sum 22.
- 2
97240 is composite. Its prime factorisation is
- 3
The divisors add up to 272160; without 97240 itself that is 174920, so 97240 is abundant (174920 is more than 97240). Euler's totient φ(97240) = 30720 numbers up to 97240 share no factor with it.
- 4
The digits of 97240 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97240 = 2^{3} \times 5 \times 11 \times 13 \times 17 \]97240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 272160 |
| Euler totient φ(n) | 30720 |
| Square | 9455617600 |
| Cube | 919464255424000 |
| Square root | 311.833289 (= 2√24310) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.724 × |
97240 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and forty |
| Binary (base 2) | 10111101111011000 |
| Octal (base 8) | 275730 |
| Hexadecimal (base 16) | 17BD8 |
| Base 3 | 11221101111 |
| As time | 97240 seconds = 27 h 0 min 40 s |
Is 97240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97240 ÷ 2 = 48620) | 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 (97240 ÷ 4 = 24310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97240 ÷ 5 = 19448) | 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 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 (97240 ÷ 8 = 12155) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97240 ÷ 10 = 9724) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97240 ÷ 11 = 8840) | 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 97240 a prime number?
No. 97240 = × 5 × 11 × 13 × 17, so it is divisible by 2.
What are the factors of 97240?
1, 2, 4, 5, 8, 10, 11, 13, 17, 20, 22, 26, 34, 40, 44, 52, 55, 65, 68, 85, 88, 104, 110, 130, 136, 143, 170, 187, 220, 221, 260, 286, 340, 374, 440, 442, 520, 572, 680, 715, 748, 884, 935, 1105, 1144, 1430, 1496, 1768, 1870, 2210, 2431, 2860, 3740, 4420, 4862, 5720, 7480, 8840, 9724, 12155, 19448, 24310, 48620, 97240.
What is 97240 in binary?
10111101111011000 (hexadecimal 17BD8, octal 275730).
What is the square root of 97240?
About 311.8333, exactly 2√24310.
Is 97240 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97240?
97240 is a Harshad number: divisible by its digit sum 22.