The number 13958
13958 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 997. Divisors (8): 1, 2, 7, 14, 997, 1994, 6979, 13958.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13958 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13958 is composite. Its prime factorisation is
- 3
The divisors add up to 23952; without 13958 itself that is 9994, so 13958 is deficient (9994 is less than 13958). Euler's totient φ(13958) = 5976 numbers up to 13958 share no factor with it.
- 4
The digits of 13958 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13958 = 2 \times 7 \times 997 \]
13958 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23952 |
| Euler totient φ(n) | 5976 |
| Square | 194825764 |
| Cube | 2719378013912 |
| Square root | 118.143980 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3958 × |
13958 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and fifty-eight |
| Binary (base 2) | 11011010000110 |
| Octal (base 8) | 33206 |
| Hexadecimal (base 16) | 3686 |
| Base 3 | 201010222 |
| As time | 13958 seconds = 3 h 52 min 38 s |
Is 13958 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13958 ÷ 2 = 6979) | 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 3) | 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 | Yes (13958 ÷ 7 = 1994) | 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 8) | 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 10) | 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 13958 a prime number?
No. 13958 = 2 × 7 × 997, so it is divisible by 2.
What are the factors of 13958?
1, 2, 7, 14, 997, 1994, 6979, 13958.
What is 13958 in binary?
11011010000110 (hexadecimal 3686, octal 33206).
What is the square root of 13958?
About 118.1440.
Is 13958 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13958?
It is a composite number with 8 divisors.