The number 13156
13156 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 23. Divisors (24): 1, 2, 4, 11, 13, 22, 23, 26, 44, 46, 52, 92, 143, 253, 286, 299 … 13156.
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How to work it out
- 1
13156 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13156 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 13156 itself that is 15068, so 13156 is abundant (15068 is more than 13156). Euler's totient φ(13156) = 5280 numbers up to 13156 share no factor with it.
- 4
The digits of 13156 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13156 = 2^{2} \times 11 \times 13 \times 23 \]13156 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 5280 |
| Square | 173080336 |
| Cube | 2277044900416 |
| Square root | 114.699608 (= 2√3289) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3156 × |
13156 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and fifty-six |
| Binary (base 2) | 11001101100100 |
| Octal (base 8) | 31544 |
| Hexadecimal (base 16) | 3364 |
| Base 3 | 200001021 |
| As time | 13156 seconds = 3 h 39 min 16 s |
Is 13156 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13156 ÷ 2 = 6578) | 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 (13156 ÷ 4 = 3289) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13156 ÷ 11 = 1196) | 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 13156 a prime number?
No. 13156 = × 11 × 13 × 23, so it is divisible by 2.
What are the factors of 13156?
1, 2, 4, 11, 13, 22, 23, 26, 44, 46, 52, 92, 143, 253, 286, 299, 506, 572, 598, 1012, 1196, 3289, 6578, 13156.
What is 13156 in binary?
11001101100100 (hexadecimal 3364, octal 31544).
What is the square root of 13156?
About 114.6996, exactly 2√3289.
Is 13156 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13156?
It is a composite number with 24 divisors.