The number 97380
97380 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 541. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 97380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97380: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97380 is composite. Its prime factorisation is
- 3
The divisors add up to 295932; without 97380 itself that is 198552, so 97380 is abundant (198552 is more than 97380). Euler's totient φ(97380) = 25920 numbers up to 97380 share no factor with it.
- 4
The digits of 97380 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97380 = 2^{2} \times 3^{2} \times 5 \times 541 \]97380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 295932 |
| Euler totient φ(n) | 25920 |
| Square | 9482864400 |
| Cube | 923441335272000 |
| Square root | 312.057687 (= 6√2705) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.738 × |
97380 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and eighty |
| Binary (base 2) | 10111110001100100 |
| Octal (base 8) | 276144 |
| Hexadecimal (base 16) | 17C64 |
| Base 3 | 11221120200 |
| As time | 97380 seconds = 27 h 3 min 0 s |
Is 97380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97380 ÷ 2 = 48690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97380 ÷ 3 = 32460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97380 ÷ 4 = 24345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97380 ÷ 5 = 19476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97380 ÷ 6 = 16230) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97380 ÷ 9 = 10820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97380 ÷ 10 = 9738) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97380 ÷ 12 = 8115) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97380 a prime number?
No. 97380 = × × 5 × 541, so it is divisible by 2.
What are the factors of 97380?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 541, 1082, 1623, 2164, 2705, 3246, 4869, 5410, 6492, 8115, 9738, 10820, 16230, 19476, 24345, 32460, 48690, 97380.
What is 97380 in binary?
10111110001100100 (hexadecimal 17C64, octal 276144).
What is the square root of 97380?
About 312.0577, exactly 6√2705.
Is 97380 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97380?
97380 is a happy number: repeatedly adding the squares of its digits reaches 1.