The number 13356
13356 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 53. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63 … 13356.
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How to work it out
- 1
What is special about 13356: a Harshad number: divisible by its digit sum 18.
- 2
13356 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 13356 itself that is 25956, so 13356 is abundant (25956 is more than 13356). Euler's totient φ(13356) = 3744 numbers up to 13356 share no factor with it.
- 4
The digits of 13356 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13356 = 2^{2} \times 3^{2} \times 7 \times 53 \]13356 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 3744 |
| Square | 178382736 |
| Cube | 2382479822016 |
| Square root | 115.568162 (= 6√371) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3356 × |
13356 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-six |
| Binary (base 2) | 11010000101100 |
| Octal (base 8) | 32054 |
| Hexadecimal (base 16) | 342C |
| Base 3 | 200022200 |
| As time | 13356 seconds = 3 h 42 min 36 s |
Is 13356 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13356 ÷ 2 = 6678) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13356 ÷ 3 = 4452) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13356 ÷ 4 = 3339) | 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 | Yes (13356 ÷ 6 = 2226) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13356 ÷ 7 = 1908) | 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 | Yes (13356 ÷ 9 = 1484) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13356 ÷ 12 = 1113) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13356 a prime number?
No. 13356 = × × 7 × 53, so it is divisible by 2.
What are the factors of 13356?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 318, 371, 477, 636, 742, 954, 1113, 1484, 1908, 2226, 3339, 4452, 6678, 13356.
What is 13356 in binary?
11010000101100 (hexadecimal 342C, octal 32054).
What is the square root of 13356?
About 115.5682, exactly 6√371.
Is 13356 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13356?
13356 is a Harshad number: divisible by its digit sum 18.