The number 13755
13755 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 131. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 131, 393, 655, 917, 1965, 2751, 4585, 13755.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13755: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
13755 is composite. Its prime factorisation is
- 3
The divisors add up to 25344; without 13755 itself that is 11589, so 13755 is deficient (11589 is less than 13755). Euler's totient φ(13755) = 6240 numbers up to 13755 share no factor with it.
- 4
The digits of 13755 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13755 = 3 \times 5 \times 7 \times 131 \]
13755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25344 |
| Euler totient φ(n) | 6240 |
| Square | 189200025 |
| Cube | 2602446343875 |
| Square root | 117.281712 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3755 × |
13755 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and fifty-five |
| Binary (base 2) | 11010110111011 |
| Octal (base 8) | 32673 |
| Hexadecimal (base 16) | 35BB |
| Base 3 | 200212110 |
| As time | 13755 seconds = 3 h 49 min 15 s |
Is 13755 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13755 ÷ 3 = 4585) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13755 ÷ 5 = 2751) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13755 ÷ 7 = 1965) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13755 a prime number?
No. 13755 = 3 × 5 × 7 × 131, so it is divisible by 3.
What are the factors of 13755?
1, 3, 5, 7, 15, 21, 35, 105, 131, 393, 655, 917, 1965, 2751, 4585, 13755.
What is 13755 in binary?
11010110111011 (hexadecimal 35BB, octal 32673).
What is the square root of 13755?
About 117.2817.
Is 13755 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13755?
13755 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.