The number 9773
9773 is a composite number with 4 divisors. Its prime factorisation is 29 × 337. Divisors (4): 1, 29, 337, 9773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9773: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 337, the product of two primes.
- 2
9773 is composite. Its prime factorisation is
- 3
The divisors add up to 10140; without 9773 itself that is 367, so 9773 is deficient (367 is less than 9773). Euler's totient φ(9773) = 9408 numbers up to 9773 share no factor with it.
- 4
The digits of 9773 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9773 = 29 \times 337 \]
9773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10140 |
| Euler totient φ(n) | 9408 |
| Square | 95511529 |
| Cube | 933434172917 |
| Square root | 98.858485 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.773 × |
9773 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-three |
| Binary (base 2) | 10011000101101 |
| Octal (base 8) | 23055 |
| Hexadecimal (base 16) | 262D |
| Base 3 | 111101222 |
| As time | 9773 seconds = 2 h 42 min 53 s |
Is 9773 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 9773 a prime number?
No. 9773 = 29 × 337, so it is divisible by 29.
What are the factors of 9773?
1, 29, 337, 9773.
What is 9773 in binary?
10011000101101 (hexadecimal 262D, octal 23055).
What is the square root of 9773?
About 98.8585.
Is 9773 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9773?
9773 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 337, the product of two primes.