The number 9591
9591 is a triangular number: 1 + 2 + … + 138 = 9591. Its prime factorisation is 3 × 23 × 139. Divisors (8): 1, 3, 23, 69, 139, 417, 3197, 9591.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9591: a triangular number: 1 + 2 + … + 138 = 9591; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9591 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 9591 itself that is 3849, so 9591 is deficient (3849 is less than 9591). Euler's totient φ(9591) = 6072 numbers up to 9591 share no factor with it.
- 4
The digits of 9591 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9591 = 3 \times 23 \times 139 \]
9591 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 6072 |
| Square | 91987281 |
| Cube | 882250012071 |
| Square root | 97.933651 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.591 × |
9591 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and ninety-one |
| Binary (base 2) | 10010101110111 |
| Octal (base 8) | 22567 |
| Hexadecimal (base 16) | 2577 |
| Base 3 | 111011020 |
| As time | 9591 seconds = 2 h 39 min 51 s |
Is 9591 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 | Yes (9591 ÷ 3 = 3197) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9591 a prime number?
No. 9591 = 3 × 23 × 139, so it is divisible by 3.
What are the factors of 9591?
1, 3, 23, 69, 139, 417, 3197, 9591.
What is 9591 in binary?
10010101110111 (hexadecimal 2577, octal 22567).
What is the square root of 9591?
About 97.9337.
Is 9591 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9591?
9591 is a triangular number: 1 + 2 + … + 138 = 9591; a happy number: repeatedly adding the squares of its digits reaches 1.