The number 9962
9962 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 293. Divisors (8): 1, 2, 17, 34, 293, 586, 4981, 9962.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9962 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9962 is composite. Its prime factorisation is
- 3
The divisors add up to 15876; without 9962 itself that is 5914, so 9962 is deficient (5914 is less than 9962). Euler's totient φ(9962) = 4672 numbers up to 9962 share no factor with it.
- 4
The digits of 9962 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9962 = 2 \times 17 \times 293 \]
9962 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15876 |
| Euler totient φ(n) | 4672 |
| Square | 99241444 |
| Cube | 988643265128 |
| Square root | 99.809819 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.962 × |
9962 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and sixty-two |
| Binary (base 2) | 10011011101010 |
| Octal (base 8) | 23352 |
| Hexadecimal (base 16) | 26EA |
| Base 3 | 111122222 |
| As time | 9962 seconds = 2 h 46 min 2 s |
Is 9962 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9962 ÷ 2 = 4981) | 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 2) | 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 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9962 a prime number?
No. 9962 = 2 × 17 × 293, so it is divisible by 2.
What are the factors of 9962?
1, 2, 17, 34, 293, 586, 4981, 9962.
What is 9962 in binary?
10011011101010 (hexadecimal 26EA, octal 23352).
What is the square root of 9962?
About 99.8098.
Is 9962 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9962?
It is a composite number with 8 divisors.