The number 97120
97120 is a composite number with 24 divisors. Its prime factorisation is × 5 × 607. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 607, 1214, 2428, 3035 … 97120.
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How to work it out
- 1
97120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97120 is composite. Its prime factorisation is
- 3
The divisors add up to 229824; without 97120 itself that is 132704, so 97120 is abundant (132704 is more than 97120). Euler's totient φ(97120) = 38784 numbers up to 97120 share no factor with it.
- 4
The digits of 97120 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97120 = 2^{5} \times 5 \times 607 \]97120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 229824 |
| Euler totient φ(n) | 38784 |
| Square | 9432294400 |
| Cube | 916064432128000 |
| Square root | 311.640819 (= 4√6070) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.712 × |
97120 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and twenty |
| Binary (base 2) | 10111101101100000 |
| Octal (base 8) | 275540 |
| Hexadecimal (base 16) | 17B60 |
| Base 3 | 11221020001 |
| As time | 97120 seconds = 26 h 58 min 40 s |
Is 97120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97120 ÷ 2 = 48560) | 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 (97120 ÷ 4 = 24280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97120 ÷ 5 = 19424) | 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 (97120 ÷ 8 = 12140) | 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 | Yes (97120 ÷ 10 = 9712) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 97120 a prime number?
No. 97120 = × 5 × 607, so it is divisible by 2.
What are the factors of 97120?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 607, 1214, 2428, 3035, 4856, 6070, 9712, 12140, 19424, 24280, 48560, 97120.
What is 97120 in binary?
10111101101100000 (hexadecimal 17B60, octal 275540).
What is the square root of 97120?
About 311.6408, exactly 4√6070.
Is 97120 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 97120?
It is a composite number with 24 divisors.