The number 13608
13608 is a composite number with 48 divisors. Its prime factorisation is × × 7. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36 … 13608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13608: a Harshad number: divisible by its digit sum 18.
- 2
13608 is composite. Its prime factorisation is
- 3
The divisors add up to 43680; without 13608 itself that is 30072, so 13608 is abundant (30072 is more than 13608). Euler's totient φ(13608) = 3888 numbers up to 13608 share no factor with it.
- 4
The digits of 13608 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13608 = 2^{3} \times 3^{5} \times 7 \]13608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 43680 |
| Euler totient φ(n) | 3888 |
| Square | 185177664 |
| Cube | 2519897651712 |
| Square root | 116.653333 (= 18√42) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3608 × |
13608 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and eight |
| Binary (base 2) | 11010100101000 |
| Octal (base 8) | 32450 |
| Hexadecimal (base 16) | 3528 |
| Base 3 | 200200000 |
| As time | 13608 seconds = 3 h 46 min 48 s |
Is 13608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13608 ÷ 2 = 6804) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13608 ÷ 3 = 4536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13608 ÷ 4 = 3402) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13608 ÷ 6 = 2268) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13608 ÷ 7 = 1944) | 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 (13608 ÷ 8 = 1701) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13608 ÷ 9 = 1512) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13608 ÷ 12 = 1134) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13608 a prime number?
No. 13608 = × × 7, so it is divisible by 2.
What are the factors of 13608?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 243, 252, 324, 378, 486, 504, 567, 648, 756, 972, 1134, 1512, 1701, 1944, 2268, 3402, 4536, 6804, 13608.
What is 13608 in binary?
11010100101000 (hexadecimal 3528, octal 32450).
What is the square root of 13608?
About 116.6533, exactly 18√42.
Is 13608 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13608?
13608 is a Harshad number: divisible by its digit sum 18.