The number 9977
9977 is a composite number with 4 divisors. Its prime factorisation is 11 × 907. Divisors (4): 1, 11, 907, 9977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9977: a semiprime: 11 × 907, the product of two primes.
- 2
9977 is composite. Its prime factorisation is
- 3
The divisors add up to 10896; without 9977 itself that is 919, so 9977 is deficient (919 is less than 9977). Euler's totient φ(9977) = 9060 numbers up to 9977 share no factor with it.
- 4
The digits of 9977 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9977 = 11 \times 907 \]
9977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10896 |
| Euler totient φ(n) | 9060 |
| Square | 99540529 |
| Cube | 993115857833 |
| Square root | 99.884934 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.977 × |
9977 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seventy-seven |
| Binary (base 2) | 10011011111001 |
| Octal (base 8) | 23371 |
| Hexadecimal (base 16) | 26F9 |
| Base 3 | 111200112 |
| As time | 9977 seconds = 2 h 46 min 17 s |
Is 9977 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 2) | 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 2) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9977 ÷ 11 = 907) | 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 9977 a prime number?
No. 9977 = 11 × 907, so it is divisible by 11.
What are the factors of 9977?
1, 11, 907, 9977.
What is 9977 in binary?
10011011111001 (hexadecimal 26F9, octal 23371).
What is the square root of 9977?
About 99.8849.
Is 9977 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9977?
9977 is a semiprime: 11 × 907, the product of two primes.