The number 13164
13164 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1097. Divisors (12): 1, 2, 3, 4, 6, 12, 1097, 2194, 3291, 4388, 6582, 13164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13164 is composite. Its prime factorisation is
- 3
The divisors add up to 30744; without 13164 itself that is 17580, so 13164 is abundant (17580 is more than 13164). Euler's totient φ(13164) = 4384 numbers up to 13164 share no factor with it.
- 4
The digits of 13164 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13164 = 2^{2} \times 3 \times 1097 \]13164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30744 |
| Euler totient φ(n) | 4384 |
| Square | 173290896 |
| Cube | 2281201354944 |
| Square root | 114.734476 (= 2√3291) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3164 × |
13164 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixty-four |
| Binary (base 2) | 11001101101100 |
| Octal (base 8) | 31554 |
| Hexadecimal (base 16) | 336C |
| Base 3 | 200001120 |
| As time | 13164 seconds = 3 h 39 min 24 s |
Is 13164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13164 ÷ 2 = 6582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13164 ÷ 3 = 4388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13164 ÷ 4 = 3291) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13164 ÷ 6 = 2194) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13164 ÷ 12 = 1097) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13164 a prime number?
No. 13164 = × 3 × 1097, so it is divisible by 2.
What are the factors of 13164?
1, 2, 3, 4, 6, 12, 1097, 2194, 3291, 4388, 6582, 13164.
What is 13164 in binary?
11001101101100 (hexadecimal 336C, octal 31554).
What is the square root of 13164?
About 114.7345, exactly 2√3291.
Is 13164 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13164?
It is a composite number with 12 divisors.