The number 13112
13112 is a composite number with 16 divisors. Its prime factorisation is × 11 × 149. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 149, 298, 596, 1192, 1639, 3278, 6556, 13112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13112: a Harshad number: divisible by its digit sum 8.
- 2
13112 is composite. Its prime factorisation is
- 3
The divisors add up to 27000; without 13112 itself that is 13888, so 13112 is abundant (13888 is more than 13112). Euler's totient φ(13112) = 5920 numbers up to 13112 share no factor with it.
- 4
The digits of 13112 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13112 = 2^{3} \times 11 \times 149 \]13112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27000 |
| Euler totient φ(n) | 5920 |
| Square | 171924544 |
| Cube | 2254274620928 |
| Square root | 114.507642 (= 2√3278) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3112 × |
13112 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and twelve |
| Binary (base 2) | 11001100111000 |
| Octal (base 8) | 31470 |
| Hexadecimal (base 16) | 3338 |
| Base 3 | 122222122 |
| As time | 13112 seconds = 3 h 38 min 32 s |
Is 13112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13112 ÷ 2 = 6556) | 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 | Yes (13112 ÷ 4 = 3278) | 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 | Yes (13112 ÷ 8 = 1639) | 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 | Yes (13112 ÷ 11 = 1192) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13112 a prime number?
No. 13112 = × 11 × 149, so it is divisible by 2.
What are the factors of 13112?
1, 2, 4, 8, 11, 22, 44, 88, 149, 298, 596, 1192, 1639, 3278, 6556, 13112.
What is 13112 in binary?
11001100111000 (hexadecimal 3338, octal 31470).
What is the square root of 13112?
About 114.5076, exactly 2√3278.
Is 13112 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13112?
13112 is a Harshad number: divisible by its digit sum 8.