The number 14028
14028 is a triangular number: 1 + 2 + … + 167 = 14028. Its prime factorisation is × 3 × 7 × 167. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 167, 334, 501, 668 … 14028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14028: a triangular number: 1 + 2 + … + 167 = 14028.
- 2
14028 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 14028 itself that is 23604, so 14028 is abundant (23604 is more than 14028). Euler's totient φ(14028) = 3984 numbers up to 14028 share no factor with it.
- 4
The digits of 14028 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14028 = 2^{2} \times 3 \times 7 \times 167 \]14028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 3984 |
| Square | 196784784 |
| Cube | 2760496949952 |
| Square root | 118.439858 (= 2√3507) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.4028 × |
14028 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and twenty-eight |
| Binary (base 2) | 11011011001100 |
| Octal (base 8) | 33314 |
| Hexadecimal (base 16) | 36CC |
| Base 3 | 201020120 |
| As time | 14028 seconds = 3 h 53 min 48 s |
Is 14028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14028 ÷ 2 = 7014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14028 ÷ 3 = 4676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14028 ÷ 4 = 3507) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14028 ÷ 6 = 2338) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14028 ÷ 7 = 2004) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (14028 ÷ 12 = 1169) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14028 a prime number?
No. 14028 = × 3 × 7 × 167, so it is divisible by 2.
What are the factors of 14028?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 167, 334, 501, 668, 1002, 1169, 2004, 2338, 3507, 4676, 7014, 14028.
What is 14028 in binary?
11011011001100 (hexadecimal 36CC, octal 33314).
What is the square root of 14028?
About 118.4399, exactly 2√3507.
Is 14028 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 14028?
14028 is a triangular number: 1 + 2 + … + 167 = 14028.