The number 13882
13882 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 631. Divisors (8): 1, 2, 11, 22, 631, 1262, 6941, 13882.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13882: a Harshad number: divisible by its digit sum 22.
- 2
13882 is composite. Its prime factorisation is
- 3
The divisors add up to 22752; without 13882 itself that is 8870, so 13882 is deficient (8870 is less than 13882). Euler's totient φ(13882) = 6300 numbers up to 13882 share no factor with it.
- 4
The digits of 13882 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13882 = 2 \times 11 \times 631 \]
13882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22752 |
| Euler totient φ(n) | 6300 |
| Square | 192709924 |
| Cube | 2675199164968 |
| Square root | 117.821899 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3882 × |
13882 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eighty-two |
| Binary (base 2) | 11011000111010 |
| Octal (base 8) | 33072 |
| Hexadecimal (base 16) | 363A |
| Base 3 | 201001011 |
| As time | 13882 seconds = 3 h 51 min 22 s |
Is 13882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13882 ÷ 2 = 6941) | 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 2) | 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 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 4) | 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 | Yes (13882 ÷ 11 = 1262) | 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 13882 a prime number?
No. 13882 = 2 × 11 × 631, so it is divisible by 2.
What are the factors of 13882?
1, 2, 11, 22, 631, 1262, 6941, 13882.
What is 13882 in binary?
11011000111010 (hexadecimal 363A, octal 33072).
What is the square root of 13882?
About 117.8219.
Is 13882 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13882?
13882 is a Harshad number: divisible by its digit sum 22.