The number 13960
13960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 349. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 349, 698, 1396, 1745, 2792, 3490, 6980, 13960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13960 is composite. Its prime factorisation is
- 3
The divisors add up to 31500; without 13960 itself that is 17540, so 13960 is abundant (17540 is more than 13960). Euler's totient φ(13960) = 5568 numbers up to 13960 share no factor with it.
- 4
The digits of 13960 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13960 = 2^{3} \times 5 \times 349 \]13960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31500 |
| Euler totient φ(n) | 5568 |
| Square | 194881600 |
| Cube | 2720547136000 |
| Square root | 118.152444 (= 2√3490) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.396 × |
13960 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty |
| Binary (base 2) | 11011010001000 |
| Octal (base 8) | 33210 |
| Hexadecimal (base 16) | 3688 |
| Base 3 | 201011001 |
| As time | 13960 seconds = 3 h 52 min 40 s |
Is 13960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13960 ÷ 2 = 6980) | 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 (13960 ÷ 4 = 3490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13960 ÷ 5 = 2792) | 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 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 | Yes (13960 ÷ 8 = 1745) | 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 (13960 ÷ 10 = 1396) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13960 a prime number?
No. 13960 = × 5 × 349, so it is divisible by 2.
What are the factors of 13960?
1, 2, 4, 5, 8, 10, 20, 40, 349, 698, 1396, 1745, 2792, 3490, 6980, 13960.
What is 13960 in binary?
11011010001000 (hexadecimal 3688, octal 33210).
What is the square root of 13960?
About 118.1524, exactly 2√3490.
Is 13960 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13960?
It is a composite number with 16 divisors.