The number 97801
97801 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 523. Divisors (8): 1, 11, 17, 187, 523, 5753, 8891, 97801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97801 is composite. Its prime factorisation is
- 3
The divisors add up to 113184; without 97801 itself that is 15383, so 97801 is deficient (15383 is less than 97801). Euler's totient φ(97801) = 83520 numbers up to 97801 share no factor with it.
- 4
The digits of 97801 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97801 = 11 \times 17 \times 523 \]
97801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 113184 |
| Euler totient φ(n) | 83520 |
| Square | 9565035601 |
| Cube | 935470046813401 |
| Square root | 312.731514 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.7801 × |
97801 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and one |
| Binary (base 2) | 10111111000001001 |
| Octal (base 8) | 277011 |
| Hexadecimal (base 16) | 17E09 |
| Base 3 | 11222011021 |
| As time | 97801 seconds = 27 h 10 min 1 s |
Is 97801 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 (97801 ÷ 11 = 8891) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97801 a prime number?
No. 97801 = 11 × 17 × 523, so it is divisible by 11.
What are the factors of 97801?
1, 11, 17, 187, 523, 5753, 8891, 97801.
What is 97801 in binary?
10111111000001001 (hexadecimal 17E09, octal 277011).
What is the square root of 97801?
About 312.7315.
Is 97801 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97801?
It is a composite number with 8 divisors.