The number 13600
13600 is a composite number with 36 divisors. Its prime factorisation is × × 17. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80 … 13600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13600: a Harshad number: divisible by its digit sum 10.
- 2
13600 is composite. Its prime factorisation is
- 3
The divisors add up to 35154; without 13600 itself that is 21554, so 13600 is abundant (21554 is more than 13600). Euler's totient φ(13600) = 5120 numbers up to 13600 share no factor with it.
- 4
The digits of 13600 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13600 = 2^{5} \times 5^{2} \times 17 \]13600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 35154 |
| Euler totient φ(n) | 5120 |
| Square | 184960000 |
| Cube | 2515456000000 |
| Square root | 116.619038 (= 20√34) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.36 × |
13600 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred |
| Binary (base 2) | 11010100100000 |
| Octal (base 8) | 32440 |
| Hexadecimal (base 16) | 3520 |
| Base 3 | 200122201 |
| As time | 13600 seconds = 3 h 46 min 40 s |
Is 13600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13600 ÷ 2 = 6800) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13600 ÷ 4 = 3400) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13600 ÷ 5 = 2720) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (13600 ÷ 8 = 1700) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13600 ÷ 10 = 1360) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13600 a prime number?
No. 13600 = × × 17, so it is divisible by 2.
What are the factors of 13600?
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 68, 80, 85, 100, 136, 160, 170, 200, 272, 340, 400, 425, 544, 680, 800, 850, 1360, 1700, 2720, 3400, 6800, 13600.
What is 13600 in binary?
11010100100000 (hexadecimal 3520, octal 32440).
What is the square root of 13600?
About 116.6190, exactly 20√34.
Is 13600 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13600?
13600 is a Harshad number: divisible by its digit sum 10.