The number 9958
9958 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 383. Divisors (8): 1, 2, 13, 26, 383, 766, 4979, 9958.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9958 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9958 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 9958 itself that is 6170, so 9958 is deficient (6170 is less than 9958). Euler's totient φ(9958) = 4584 numbers up to 9958 share no factor with it.
- 4
The digits of 9958 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9958 = 2 \times 13 \times 383 \]
9958 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 4584 |
| Square | 99161764 |
| Cube | 987452845912 |
| Square root | 99.789779 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.958 × |
9958 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and fifty-eight |
| Binary (base 2) | 10011011100110 |
| Octal (base 8) | 23346 |
| Hexadecimal (base 16) | 26E6 |
| Base 3 | 111122211 |
| As time | 9958 seconds = 2 h 45 min 58 s |
Is 9958 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9958 ÷ 2 = 4979) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9958 a prime number?
No. 9958 = 2 × 13 × 383, so it is divisible by 2.
What are the factors of 9958?
1, 2, 13, 26, 383, 766, 4979, 9958.
What is 9958 in binary?
10011011100110 (hexadecimal 26E6, octal 23346).
What is the square root of 9958?
About 99.7898.
Is 9958 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9958?
It is a composite number with 8 divisors.