The number 13176
13176 is a composite number with 32 divisors. Its prime factorisation is × × 61. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 61, 72, 108 … 13176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13176: a Harshad number: divisible by its digit sum 18.
- 2
13176 is composite. Its prime factorisation is
- 3
The divisors add up to 37200; without 13176 itself that is 24024, so 13176 is abundant (24024 is more than 13176). Euler's totient φ(13176) = 4320 numbers up to 13176 share no factor with it.
- 4
The digits of 13176 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13176 = 2^{3} \times 3^{3} \times 61 \]13176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 37200 |
| Euler totient φ(n) | 4320 |
| Square | 173606976 |
| Cube | 2287445515776 |
| Square root | 114.786759 (= 6√366) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3176 × |
13176 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and seventy-six |
| Binary (base 2) | 11001101111000 |
| Octal (base 8) | 31570 |
| Hexadecimal (base 16) | 3378 |
| Base 3 | 200002000 |
| As time | 13176 seconds = 3 h 39 min 36 s |
Is 13176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13176 ÷ 2 = 6588) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13176 ÷ 3 = 4392) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13176 ÷ 4 = 3294) | 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 (13176 ÷ 6 = 2196) | 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 | Yes (13176 ÷ 8 = 1647) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13176 ÷ 9 = 1464) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13176 ÷ 12 = 1098) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13176 a prime number?
No. 13176 = × × 61, so it is divisible by 2.
What are the factors of 13176?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 61, 72, 108, 122, 183, 216, 244, 366, 488, 549, 732, 1098, 1464, 1647, 2196, 3294, 4392, 6588, 13176.
What is 13176 in binary?
11001101111000 (hexadecimal 3378, octal 31570).
What is the square root of 13176?
About 114.7868, exactly 6√366.
Is 13176 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13176?
13176 is a Harshad number: divisible by its digit sum 18.