The number 13948
13948 is a composite number with 12 divisors. Its prime factorisation is × 11 × 317. Divisors (12): 1, 2, 4, 11, 22, 44, 317, 634, 1268, 3487, 6974, 13948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13948 is composite. Its prime factorisation is
- 3
The divisors add up to 26712; without 13948 itself that is 12764, so 13948 is deficient (12764 is less than 13948). Euler's totient φ(13948) = 6320 numbers up to 13948 share no factor with it.
- 4
The digits of 13948 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13948 = 2^{2} \times 11 \times 317 \]13948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26712 |
| Euler totient φ(n) | 6320 |
| Square | 194546704 |
| Cube | 2713537427392 |
| Square root | 118.101651 (= 2√3487) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.3948 × |
13948 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and forty-eight |
| Binary (base 2) | 11011001111100 |
| Octal (base 8) | 33174 |
| Hexadecimal (base 16) | 367C |
| Base 3 | 201010121 |
| As time | 13948 seconds = 3 h 52 min 28 s |
Is 13948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13948 ÷ 2 = 6974) | 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 | Yes (13948 ÷ 4 = 3487) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (13948 ÷ 11 = 1268) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13948 a prime number?
No. 13948 = × 11 × 317, so it is divisible by 2.
What are the factors of 13948?
1, 2, 4, 11, 22, 44, 317, 634, 1268, 3487, 6974, 13948.
What is 13948 in binary?
11011001111100 (hexadecimal 367C, octal 33174).
What is the square root of 13948?
About 118.1017, exactly 2√3487.
Is 13948 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13948?
It is a composite number with 12 divisors.