The number 13700
13700 is a composite number with 18 divisors. Its prime factorisation is × × 137. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 137, 274, 548, 685, 1370, 2740, 3425 … 13700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13700 is composite. Its prime factorisation is
- 3
The divisors add up to 29946; without 13700 itself that is 16246, so 13700 is abundant (16246 is more than 13700). Euler's totient φ(13700) = 5440 numbers up to 13700 share no factor with it.
- 4
The digits of 13700 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13700 = 2^{2} \times 5^{2} \times 137 \]13700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 29946 |
| Euler totient φ(n) | 5440 |
| Square | 187690000 |
| Cube | 2571353000000 |
| Square root | 117.046999 (= 10√137) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.37 × |
13700 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred |
| Binary (base 2) | 11010110000100 |
| Octal (base 8) | 32604 |
| Hexadecimal (base 16) | 3584 |
| Base 3 | 200210102 |
| As time | 13700 seconds = 3 h 48 min 20 s |
Is 13700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13700 ÷ 2 = 6850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13700 ÷ 4 = 3425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13700 ÷ 5 = 2740) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13700 ÷ 10 = 1370) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13700 a prime number?
No. 13700 = × × 137, so it is divisible by 2.
What are the factors of 13700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 137, 274, 548, 685, 1370, 2740, 3425, 6850, 13700.
What is 13700 in binary?
11010110000100 (hexadecimal 3584, octal 32604).
What is the square root of 13700?
About 117.0470, exactly 10√137.
Is 13700 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13700?
It is a composite number with 18 divisors.