The number 9671
9671 is a composite number with 4 divisors. Its prime factorisation is 19 × 509. Divisors (4): 1, 19, 509, 9671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9671: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 509, the product of two primes.
- 2
9671 is composite. Its prime factorisation is
- 3
The divisors add up to 10200; without 9671 itself that is 529, so 9671 is deficient (529 is less than 9671). Euler's totient φ(9671) = 9144 numbers up to 9671 share no factor with it.
- 4
The digits of 9671 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9671 = 19 \times 509 \]
9671 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10200 |
| Euler totient φ(n) | 9144 |
| Square | 93528241 |
| Cube | 904511618711 |
| Square root | 98.341243 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.671 × |
9671 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and seventy-one |
| Binary (base 2) | 10010111000111 |
| Octal (base 8) | 22707 |
| Hexadecimal (base 16) | 25C7 |
| Base 3 | 111021012 |
| As time | 9671 seconds = 2 h 41 min 11 s |
Is 9671 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 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9671 a prime number?
No. 9671 = 19 × 509, so it is divisible by 19.
What are the factors of 9671?
1, 19, 509, 9671.
What is 9671 in binary?
10010111000111 (hexadecimal 25C7, octal 22707).
What is the square root of 9671?
About 98.3412.
Is 9671 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9671?
9671 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 509, the product of two primes.