The number 13168
13168 is a composite number with 10 divisors. Its prime factorisation is × 823. Divisors (10): 1, 2, 4, 8, 16, 823, 1646, 3292, 6584, 13168.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13168 is composite. Its prime factorisation is
- 3
The divisors add up to 25544; without 13168 itself that is 12376, so 13168 is deficient (12376 is less than 13168). Euler's totient φ(13168) = 6576 numbers up to 13168 share no factor with it.
- 4
The digits of 13168 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13168 = 2^{4} \times 823 \]13168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 25544 |
| Euler totient φ(n) | 6576 |
| Square | 173396224 |
| Cube | 2283281477632 |
| Square root | 114.751906 (= 4√823) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3168 × |
13168 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixty-eight |
| Binary (base 2) | 11001101110000 |
| Octal (base 8) | 31560 |
| Hexadecimal (base 16) | 3370 |
| Base 3 | 200001201 |
| As time | 13168 seconds = 3 h 39 min 28 s |
Is 13168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13168 ÷ 2 = 6584) | 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 (13168 ÷ 4 = 3292) | 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 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 (13168 ÷ 8 = 1646) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 13168 a prime number?
No. 13168 = × 823, so it is divisible by 2.
What are the factors of 13168?
1, 2, 4, 8, 16, 823, 1646, 3292, 6584, 13168.
What is 13168 in binary?
11001101110000 (hexadecimal 3370, octal 31560).
What is the square root of 13168?
About 114.7519, exactly 4√823.
Is 13168 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13168?
It is a composite number with 10 divisors.