The number 9955
9955 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 181. Divisors (8): 1, 5, 11, 55, 181, 905, 1991, 9955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9955 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 9955 itself that is 3149, so 9955 is deficient (3149 is less than 9955). Euler's totient φ(9955) = 7200 numbers up to 9955 share no factor with it.
- 4
The digits of 9955 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9955 = 5 \times 11 \times 181 \]
9955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 7200 |
| Square | 99102025 |
| Cube | 986560658875 |
| Square root | 99.774746 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.955 × |
9955 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and fifty-five |
| Binary (base 2) | 10011011100011 |
| Octal (base 8) | 23343 |
| Hexadecimal (base 16) | 26E3 |
| Base 3 | 111122201 |
| As time | 9955 seconds = 2 h 45 min 55 s |
Is 9955 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9955 ÷ 5 = 1991) | 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 | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9955 ÷ 11 = 905) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9955 a prime number?
No. 9955 = 5 × 11 × 181, so it is divisible by 5.
What are the factors of 9955?
1, 5, 11, 55, 181, 905, 1991, 9955.
What is 9955 in binary?
10011011100011 (hexadecimal 26E3, octal 23343).
What is the square root of 9955?
About 99.7747.
Is 9955 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9955?
It is a composite number with 8 divisors.