The number 14200
14200 is a composite number with 24 divisors. Its prime factorisation is × × 71. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 142, 200, 284, 355 … 14200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14200 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 14200 itself that is 19280, so 14200 is abundant (19280 is more than 14200). Euler's totient φ(14200) = 5600 numbers up to 14200 share no factor with it.
- 4
The digits of 14200 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14200 = 2^{3} \times 5^{2} \times 71 \]14200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 5600 |
| Square | 201640000 |
| Cube | 2863288000000 |
| Square root | 119.163753 (= 10√142) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.42 × |
14200 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred |
| Binary (base 2) | 11011101111000 |
| Octal (base 8) | 33570 |
| Hexadecimal (base 16) | 3778 |
| Base 3 | 201110221 |
| As time | 14200 seconds = 3 h 56 min 40 s |
Is 14200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14200 ÷ 2 = 7100) | 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 (14200 ÷ 4 = 3550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14200 ÷ 5 = 2840) | 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 4) | 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 (14200 ÷ 8 = 1775) | 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 (14200 ÷ 10 = 1420) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14200 a prime number?
No. 14200 = × × 71, so it is divisible by 2.
What are the factors of 14200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 142, 200, 284, 355, 568, 710, 1420, 1775, 2840, 3550, 7100, 14200.
What is 14200 in binary?
11011101111000 (hexadecimal 3778, octal 33570).
What is the square root of 14200?
About 119.1638, exactly 10√142.
Is 14200 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 14200?
It is a composite number with 24 divisors.