The number 13914
13914 is a composite number with 12 divisors. Its prime factorisation is 2 × × 773. Divisors (12): 1, 2, 3, 6, 9, 18, 773, 1546, 2319, 4638, 6957, 13914.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13914: a Harshad number: divisible by its digit sum 18.
- 2
13914 is composite. Its prime factorisation is
- 3
The divisors add up to 30186; without 13914 itself that is 16272, so 13914 is abundant (16272 is more than 13914). Euler's totient φ(13914) = 4632 numbers up to 13914 share no factor with it.
- 4
The digits of 13914 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13914 = 2 \times 3^{2} \times 773 \]13914 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30186 |
| Euler totient φ(n) | 4632 |
| Square | 193599396 |
| Cube | 2693741995944 |
| Square root | 117.957620 (= 3√1546) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3914 × |
13914 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and fourteen |
| Binary (base 2) | 11011001011010 |
| Octal (base 8) | 33132 |
| Hexadecimal (base 16) | 365A |
| Base 3 | 201002100 |
| As time | 13914 seconds = 3 h 51 min 54 s |
Is 13914 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13914 ÷ 2 = 6957) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13914 ÷ 3 = 4638) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13914 ÷ 6 = 2319) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13914 ÷ 9 = 1546) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 13914 a prime number?
No. 13914 = 2 × × 773, so it is divisible by 2.
What are the factors of 13914?
1, 2, 3, 6, 9, 18, 773, 1546, 2319, 4638, 6957, 13914.
What is 13914 in binary?
11011001011010 (hexadecimal 365A, octal 33132).
What is the square root of 13914?
About 117.9576, exactly 3√1546.
Is 13914 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13914?
13914 is a Harshad number: divisible by its digit sum 18.