The number 91001
91001 is a composite number with 8 divisors. Its prime factorisation is 17 × 53 × 101. Divisors (8): 1, 17, 53, 101, 901, 1717, 5353, 91001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
91001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
91001 is composite. Its prime factorisation is
- 3
The divisors add up to 99144; without 91001 itself that is 8143, so 91001 is deficient (8143 is less than 91001). Euler's totient φ(91001) = 83200 numbers up to 91001 share no factor with it.
- 4
The digits of 91001 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 91001 = 17 \times 53 \times 101 \]
91001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 99144 |
| Euler totient φ(n) | 83200 |
| Square | 8281182001 |
| Cube | 753595843273001 |
| Square root | 301.663720 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.1001 × |
91001 in other forms
| Form | Value |
|---|---|
| In words | ninety-one thousand and one |
| Binary (base 2) | 10110001101111001 |
| Octal (base 8) | 261571 |
| Hexadecimal (base 16) | 16379 |
| Base 3 | 11121211102 |
| As time | 91001 seconds = 25 h 16 min 41 s |
Is 91001 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 1) | 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 2) | 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 | No (remainder 9) | 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 91001 a prime number?
No. 91001 = 17 × 53 × 101, so it is divisible by 17.
What are the factors of 91001?
1, 17, 53, 101, 901, 1717, 5353, 91001.
What is 91001 in binary?
10110001101111001 (hexadecimal 16379, octal 261571).
What is the square root of 91001?
About 301.6637.
Is 91001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 91001?
It is a composite number with 8 divisors.