The number 13930
13930 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 199. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 199, 398, 995, 1393, 1990, 2786, 6965, 13930.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13930: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13930 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 13930 itself that is 14870, so 13930 is abundant (14870 is more than 13930). Euler's totient φ(13930) = 4752 numbers up to 13930 share no factor with it.
- 4
The digits of 13930 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13930 = 2 \times 5 \times 7 \times 199 \]
13930 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 4752 |
| Square | 194044900 |
| Cube | 2703045457000 |
| Square root | 118.025421 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.393 × |
13930 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirty |
| Binary (base 2) | 11011001101010 |
| Octal (base 8) | 33152 |
| Hexadecimal (base 16) | 366A |
| Base 3 | 201002221 |
| As time | 13930 seconds = 3 h 52 min 10 s |
Is 13930 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13930 ÷ 2 = 6965) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13930 ÷ 5 = 2786) | 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 | Yes (13930 ÷ 7 = 1990) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13930 ÷ 10 = 1393) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13930 a prime number?
No. 13930 = 2 × 5 × 7 × 199, so it is divisible by 2.
What are the factors of 13930?
1, 2, 5, 7, 10, 14, 35, 70, 199, 398, 995, 1393, 1990, 2786, 6965, 13930.
What is 13930 in binary?
11011001101010 (hexadecimal 366A, octal 33152).
What is the square root of 13930?
About 118.0254.
Is 13930 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13930?
13930 is a happy number: repeatedly adding the squares of its digits reaches 1.