The number 14272
14272 is a composite number with 14 divisors. Its prime factorisation is × 223. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 223, 446, 892, 1784, 3568, 7136, 14272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14272: a Harshad number: divisible by its digit sum 16.
- 2
14272 is composite. Its prime factorisation is
- 3
The divisors add up to 28448; without 14272 itself that is 14176, so 14272 is deficient (14176 is less than 14272). Euler's totient φ(14272) = 7104 numbers up to 14272 share no factor with it.
- 4
The digits of 14272 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14272 = 2^{6} \times 223 \]14272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 28448 |
| Euler totient φ(n) | 7104 |
| Square | 203689984 |
| Cube | 2907063451648 |
| Square root | 119.465476 (= 8√223) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.4272 × |
14272 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand two hundred and seventy-two |
| Binary (base 2) | 11011111000000 |
| Octal (base 8) | 33700 |
| Hexadecimal (base 16) | 37C0 |
| Base 3 | 201120121 |
| As time | 14272 seconds = 3 h 57 min 52 s |
Is 14272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14272 ÷ 2 = 7136) | 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 (14272 ÷ 4 = 3568) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 (14272 ÷ 8 = 1784) | 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 | No (remainder 2) | 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 14272 a prime number?
No. 14272 = × 223, so it is divisible by 2.
What are the factors of 14272?
1, 2, 4, 8, 16, 32, 64, 223, 446, 892, 1784, 3568, 7136, 14272.
What is 14272 in binary?
11011111000000 (hexadecimal 37C0, octal 33700).
What is the square root of 14272?
About 119.4655, exactly 8√223.
Is 14272 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 14272?
14272 is a Harshad number: divisible by its digit sum 16.