The number 97361
97361 is a composite number with 8 divisors. Its prime factorisation is 11 × 53 × 167. Divisors (8): 1, 11, 53, 167, 583, 1837, 8851, 97361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97361: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97361 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 97361 itself that is 11503, so 97361 is deficient (11503 is less than 97361). Euler's totient φ(97361) = 86320 numbers up to 97361 share no factor with it.
- 4
The digits of 97361 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97361 = 11 \times 53 \times 167 \]
97361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 86320 |
| Square | 9479164321 |
| Cube | 922900917456881 |
| Square root | 312.027242 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7361 × |
97361 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and sixty-one |
| Binary (base 2) | 10111110001010001 |
| Octal (base 8) | 276121 |
| Hexadecimal (base 16) | 17C51 |
| Base 3 | 11221112222 |
| As time | 97361 seconds = 27 h 2 min 41 s |
Is 97361 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97361 ÷ 11 = 8851) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97361 a prime number?
No. 97361 = 11 × 53 × 167, so it is divisible by 11.
What are the factors of 97361?
1, 11, 53, 167, 583, 1837, 8851, 97361.
What is 97361 in binary?
10111110001010001 (hexadecimal 17C51, octal 276121).
What is the square root of 97361?
About 312.0272.
Is 97361 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97361?
97361 is a happy number: repeatedly adding the squares of its digits reaches 1.