The number 14220
14220 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 79. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 14220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14220: a Harshad number: divisible by its digit sum 9.
- 2
14220 is composite. Its prime factorisation is
- 3
The divisors add up to 43680; without 14220 itself that is 29460, so 14220 is abundant (29460 is more than 14220). Euler's totient φ(14220) = 3744 numbers up to 14220 share no factor with it.
- 4
The digits of 14220 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14220 = 2^{2} \times 3^{2} \times 5 \times 79 \]14220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 43680 |
| Euler totient φ(n) | 3744 |
| Square | 202208400 |
| Cube | 2875403448000 |
| Square root | 119.247641 (= 6√395) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.422 × |
14220 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred and twenty |
| Binary (base 2) | 11011110001100 |
| Octal (base 8) | 33614 |
| Hexadecimal (base 16) | 378C |
| Base 3 | 201111200 |
| As time | 14220 seconds = 3 h 57 min 0 s |
Is 14220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14220 ÷ 2 = 7110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14220 ÷ 3 = 4740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14220 ÷ 4 = 3555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14220 ÷ 5 = 2844) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (14220 ÷ 6 = 2370) | 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 | Yes (14220 ÷ 9 = 1580) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (14220 ÷ 10 = 1422) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14220 ÷ 12 = 1185) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14220 a prime number?
No. 14220 = × × 5 × 79, so it is divisible by 2.
What are the factors of 14220?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 79, 90, 158, 180, 237, 316, 395, 474, 711, 790, 948, 1185, 1422, 1580, 2370, 2844, 3555, 4740, 7110, 14220.
What is 14220 in binary?
11011110001100 (hexadecimal 378C, octal 33614).
What is the square root of 14220?
About 119.2476, exactly 6√395.
Is 14220 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 14220?
14220 is a Harshad number: divisible by its digit sum 9.