The number 9761
9761 is a composite number with 4 divisors. Its prime factorisation is 43 × 227. Divisors (4): 1, 43, 227, 9761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9761: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 227, the product of two primes.
- 2
9761 is composite. Its prime factorisation is
- 3
The divisors add up to 10032; without 9761 itself that is 271, so 9761 is deficient (271 is less than 9761). Euler's totient φ(9761) = 9492 numbers up to 9761 share no factor with it.
- 4
The digits of 9761 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9761 = 43 \times 227 \]
9761 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10032 |
| Euler totient φ(n) | 9492 |
| Square | 95277121 |
| Cube | 929999978081 |
| Square root | 98.797773 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.761 × |
9761 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and sixty-one |
| Binary (base 2) | 10011000100001 |
| Octal (base 8) | 23041 |
| Hexadecimal (base 16) | 2621 |
| Base 3 | 111101112 |
| As time | 9761 seconds = 2 h 42 min 41 s |
Is 9761 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 3) | 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 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 4) | 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 9761 a prime number?
No. 9761 = 43 × 227, so it is divisible by 43.
What are the factors of 9761?
1, 43, 227, 9761.
What is 9761 in binary?
10011000100001 (hexadecimal 2621, octal 23041).
What is the square root of 9761?
About 98.7978.
Is 9761 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9761?
9761 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 227, the product of two primes.