The number 14140
14140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 101. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 101, 140, 202, 404, 505 … 14140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14140: a Harshad number: divisible by its digit sum 10.
- 2
14140 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 14140 itself that is 20132, so 14140 is abundant (20132 is more than 14140). Euler's totient φ(14140) = 4800 numbers up to 14140 share no factor with it.
- 4
The digits of 14140 add up to 10, 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
\[ 14140 = 2^{2} \times 5 \times 7 \times 101 \]14140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 4800 |
| Square | 199939600 |
| Cube | 2827145944000 |
| Square root | 118.911732 (= 2√3535) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.414 × |
14140 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and forty |
| Binary (base 2) | 11011100111100 |
| Octal (base 8) | 33474 |
| Hexadecimal (base 16) | 373C |
| Base 3 | 201101201 |
| As time | 14140 seconds = 3 h 55 min 40 s |
Is 14140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14140 ÷ 2 = 7070) | 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 (14140 ÷ 4 = 3535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14140 ÷ 5 = 2828) | 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 (14140 ÷ 7 = 2020) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14140 ÷ 10 = 1414) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 14140 a prime number?
No. 14140 = × 5 × 7 × 101, so it is divisible by 2.
What are the factors of 14140?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 101, 140, 202, 404, 505, 707, 1010, 1414, 2020, 2828, 3535, 7070, 14140.
What is 14140 in binary?
11011100111100 (hexadecimal 373C, octal 33474).
What is the square root of 14140?
About 118.9117, exactly 2√3535.
Is 14140 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 14140?
14140 is a Harshad number: divisible by its digit sum 10.