The number 97867
97867 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 31 × 41. Divisors (16): 1, 7, 11, 31, 41, 77, 217, 287, 341, 451, 1271, 2387, 3157, 8897, 13981, 97867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97867 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 97867 itself that is 31157, so 97867 is deficient (31157 is less than 97867). Euler's totient φ(97867) = 72000 numbers up to 97867 share no factor with it.
- 4
The digits of 97867 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97867 = 7 \times 11 \times 31 \times 41 \]
97867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 72000 |
| Square | 9577949689 |
| Cube | 937365202213363 |
| Square root | 312.837018 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7867 × |
97867 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and sixty-seven |
| Binary (base 2) | 10111111001001011 |
| Octal (base 8) | 277113 |
| Hexadecimal (base 16) | 17E4B |
| Base 3 | 11222020201 |
| As time | 97867 seconds = 27 h 11 min 7 s |
Is 97867 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97867 ÷ 7 = 13981) | 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 3) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97867 ÷ 11 = 8897) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97867 a prime number?
No. 97867 = 7 × 11 × 31 × 41, so it is divisible by 7.
What are the factors of 97867?
1, 7, 11, 31, 41, 77, 217, 287, 341, 451, 1271, 2387, 3157, 8897, 13981, 97867.
What is 97867 in binary?
10111111001001011 (hexadecimal 17E4B, octal 277113).
What is the square root of 97867?
About 312.8370.
Is 97867 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 97867?
It is a composite number with 16 divisors.