The number 13155
13155 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 877. Divisors (8): 1, 3, 5, 15, 877, 2631, 4385, 13155.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13155: a Harshad number: divisible by its digit sum 15.
- 2
13155 is composite. Its prime factorisation is
- 3
The divisors add up to 21072; without 13155 itself that is 7917, so 13155 is deficient (7917 is less than 13155). Euler's totient φ(13155) = 7008 numbers up to 13155 share no factor with it.
- 4
The digits of 13155 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
\[ 13155 = 3 \times 5 \times 877 \]
13155 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21072 |
| Euler totient φ(n) | 7008 |
| Square | 173054025 |
| Cube | 2276525698875 |
| Square root | 114.695248 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3155 × |
13155 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and fifty-five |
| Binary (base 2) | 11001101100011 |
| Octal (base 8) | 31543 |
| Hexadecimal (base 16) | 3363 |
| Base 3 | 200001020 |
| As time | 13155 seconds = 3 h 39 min 15 s |
Is 13155 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 (13155 ÷ 3 = 4385) | 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 (13155 ÷ 5 = 2631) | 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 | No (remainder 2) | 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 6) | 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 10) | 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 13155 a prime number?
No. 13155 = 3 × 5 × 877, so it is divisible by 3.
What are the factors of 13155?
1, 3, 5, 15, 877, 2631, 4385, 13155.
What is 13155 in binary?
11001101100011 (hexadecimal 3363, octal 31543).
What is the square root of 13155?
About 114.6952.
Is 13155 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13155?
13155 is a Harshad number: divisible by its digit sum 15.