The number 97420
97420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4871. Divisors (12): 1, 2, 4, 5, 10, 20, 4871, 9742, 19484, 24355, 48710, 97420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97420 is composite. Its prime factorisation is
- 3
The divisors add up to 204624; without 97420 itself that is 107204, so 97420 is abundant (107204 is more than 97420). Euler's totient φ(97420) = 38960 numbers up to 97420 share no factor with it.
- 4
The digits of 97420 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97420 = 2^{2} \times 5 \times 4871 \]97420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 204624 |
| Euler totient φ(n) | 38960 |
| Square | 9490656400 |
| Cube | 924579746488000 |
| Square root | 312.121771 (= 2√24355) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.742 × |
97420 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and twenty |
| Binary (base 2) | 10111110010001100 |
| Octal (base 8) | 276214 |
| Hexadecimal (base 16) | 17C8C |
| Base 3 | 11221122011 |
| As time | 97420 seconds = 27 h 3 min 40 s |
Is 97420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97420 ÷ 2 = 48710) | 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 (97420 ÷ 4 = 24355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97420 ÷ 5 = 19484) | 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 | No (remainder 4) | 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 (97420 ÷ 10 = 9742) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 97420 a prime number?
No. 97420 = × 5 × 4871, so it is divisible by 2.
What are the factors of 97420?
1, 2, 4, 5, 10, 20, 4871, 9742, 19484, 24355, 48710, 97420.
What is 97420 in binary?
10111110010001100 (hexadecimal 17C8C, octal 276214).
What is the square root of 97420?
About 312.1218, exactly 2√24355.
Is 97420 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97420?
It is a composite number with 12 divisors.