The number 13890
13890 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 463. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 463, 926, 1389, 2315, 2778, 4630, 6945, 13890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13890 is composite. Its prime factorisation is
- 3
The divisors add up to 33408; without 13890 itself that is 19518, so 13890 is abundant (19518 is more than 13890). Euler's totient φ(13890) = 3696 numbers up to 13890 share no factor with it.
- 4
The digits of 13890 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13890 = 2 \times 3 \times 5 \times 463 \]
13890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33408 |
| Euler totient φ(n) | 3696 |
| Square | 192932100 |
| Cube | 2679826869000 |
| Square root | 117.855844 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.389 × |
13890 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and ninety |
| Binary (base 2) | 11011001000010 |
| Octal (base 8) | 33102 |
| Hexadecimal (base 16) | 3642 |
| Base 3 | 201001110 |
| As time | 13890 seconds = 3 h 51 min 30 s |
Is 13890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13890 ÷ 2 = 6945) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13890 ÷ 3 = 4630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13890 ÷ 5 = 2778) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13890 ÷ 6 = 2315) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13890 ÷ 10 = 1389) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13890 a prime number?
No. 13890 = 2 × 3 × 5 × 463, so it is divisible by 2.
What are the factors of 13890?
1, 2, 3, 5, 6, 10, 15, 30, 463, 926, 1389, 2315, 2778, 4630, 6945, 13890.
What is 13890 in binary?
11011001000010 (hexadecimal 3642, octal 33102).
What is the square root of 13890?
About 117.8558.
Is 13890 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13890?
It is a composite number with 16 divisors.