The number 13900
13900 is a composite number with 18 divisors. Its prime factorisation is × × 139. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 139, 278, 556, 695, 1390, 2780, 3475 … 13900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13900: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13900 is composite. Its prime factorisation is
- 3
The divisors add up to 30380; without 13900 itself that is 16480, so 13900 is abundant (16480 is more than 13900). Euler's totient φ(13900) = 5520 numbers up to 13900 share no factor with it.
- 4
The digits of 13900 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13900 = 2^{2} \times 5^{2} \times 139 \]13900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 30380 |
| Euler totient φ(n) | 5520 |
| Square | 193210000 |
| Cube | 2685619000000 |
| Square root | 117.898261 (= 10√139) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.39 × |
13900 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred |
| Binary (base 2) | 11011001001100 |
| Octal (base 8) | 33114 |
| Hexadecimal (base 16) | 364C |
| Base 3 | 201001211 |
| As time | 13900 seconds = 3 h 51 min 40 s |
Is 13900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13900 ÷ 2 = 6950) | 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 (13900 ÷ 4 = 3475) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13900 ÷ 5 = 2780) | 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 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13900 ÷ 10 = 1390) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13900 a prime number?
No. 13900 = × × 139, so it is divisible by 2.
What are the factors of 13900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 139, 278, 556, 695, 1390, 2780, 3475, 6950, 13900.
What is 13900 in binary?
11011001001100 (hexadecimal 364C, octal 33114).
What is the square root of 13900?
About 117.8983, exactly 10√139.
Is 13900 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13900?
13900 is a happy number: repeatedly adding the squares of its digits reaches 1.