The number 13940
13940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 41. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 41, 68, 82, 85, 164, 170, 205, 340 … 13940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13940: a Harshad number: divisible by its digit sum 17.
- 2
13940 is composite. Its prime factorisation is
- 3
The divisors add up to 31752; without 13940 itself that is 17812, so 13940 is abundant (17812 is more than 13940). Euler's totient φ(13940) = 5120 numbers up to 13940 share no factor with it.
- 4
The digits of 13940 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13940 = 2^{2} \times 5 \times 17 \times 41 \]13940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31752 |
| Euler totient φ(n) | 5120 |
| Square | 194323600 |
| Cube | 2708870984000 |
| Square root | 118.067777 (= 2√3485) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.394 × |
13940 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and forty |
| Binary (base 2) | 11011001110100 |
| Octal (base 8) | 33164 |
| Hexadecimal (base 16) | 3674 |
| Base 3 | 201010022 |
| As time | 13940 seconds = 3 h 52 min 20 s |
Is 13940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13940 ÷ 2 = 6970) | 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 (13940 ÷ 4 = 3485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13940 ÷ 5 = 2788) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13940 ÷ 10 = 1394) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 13940 a prime number?
No. 13940 = × 5 × 17 × 41, so it is divisible by 2.
What are the factors of 13940?
1, 2, 4, 5, 10, 17, 20, 34, 41, 68, 82, 85, 164, 170, 205, 340, 410, 697, 820, 1394, 2788, 3485, 6970, 13940.
What is 13940 in binary?
11011001110100 (hexadecimal 3674, octal 33164).
What is the square root of 13940?
About 118.0678, exactly 2√3485.
Is 13940 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13940?
13940 is a Harshad number: divisible by its digit sum 17.