The number 13677
13677 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 97. Divisors (8): 1, 3, 47, 97, 141, 291, 4559, 13677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13677 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13677 is composite. Its prime factorisation is
- 3
The divisors add up to 18816; without 13677 itself that is 5139, so 13677 is deficient (5139 is less than 13677). Euler's totient φ(13677) = 8832 numbers up to 13677 share no factor with it.
- 4
The digits of 13677 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13677 = 3 \times 47 \times 97 \]
13677 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18816 |
| Euler totient φ(n) | 8832 |
| Square | 187060329 |
| Cube | 2558424119733 |
| Square root | 116.948707 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3677 × |
13677 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-seven |
| Binary (base 2) | 11010101101101 |
| Octal (base 8) | 32555 |
| Hexadecimal (base 16) | 356D |
| Base 3 | 200202120 |
| As time | 13677 seconds = 3 h 47 min 57 s |
Is 13677 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 (13677 ÷ 3 = 4559) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13677 a prime number?
No. 13677 = 3 × 47 × 97, so it is divisible by 3.
What are the factors of 13677?
1, 3, 47, 97, 141, 291, 4559, 13677.
What is 13677 in binary?
11010101101101 (hexadecimal 356D, octal 32555).
What is the square root of 13677?
About 116.9487.
Is 13677 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13677?
It is a composite number with 8 divisors.