The number 9877
9877 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 83. Divisors (8): 1, 7, 17, 83, 119, 581, 1411, 9877.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9877 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9877 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 9877 itself that is 2219, so 9877 is deficient (2219 is less than 9877). Euler's totient φ(9877) = 7872 numbers up to 9877 share no factor with it.
- 4
The digits of 9877 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9877 = 7 \times 17 \times 83 \]
9877 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 7872 |
| Square | 97555129 |
| Cube | 963552009133 |
| Square root | 99.383097 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.877 × |
9877 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and seventy-seven |
| Binary (base 2) | 10011010010101 |
| Octal (base 8) | 23225 |
| Hexadecimal (base 16) | 2695 |
| Base 3 | 111112211 |
| As time | 9877 seconds = 2 h 44 min 37 s |
Is 9877 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9877 ÷ 7 = 1411) | 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 4) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9877 a prime number?
No. 9877 = 7 × 17 × 83, so it is divisible by 7.
What are the factors of 9877?
1, 7, 17, 83, 119, 581, 1411, 9877.
What is 9877 in binary?
10011010010101 (hexadecimal 2695, octal 23225).
What is the square root of 9877?
About 99.3831.
Is 9877 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9877?
It is a composite number with 8 divisors.