The number 16272
16272 is a composite number with 30 divisors. Its prime factorisation is × × 113. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 113, 144 … 16272.
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How to work it out
- 1
What is special about 16272: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
16272 is composite. Its prime factorisation is
- 3
The divisors add up to 45942; without 16272 itself that is 29670, so 16272 is abundant (29670 is more than 16272). Euler's totient φ(16272) = 5376 numbers up to 16272 share no factor with it.
- 4
The digits of 16272 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16272 = 2^{4} \times 3^{2} \times 113 \]16272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 45942 |
| Euler totient φ(n) | 5376 |
| Square | 264777984 |
| Cube | 4308467355648 |
| Square root | 127.561750 (= 12√113) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6272 × |
16272 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and seventy-two |
| Binary (base 2) | 11111110010000 |
| Octal (base 8) | 37620 |
| Hexadecimal (base 16) | 3F90 |
| Base 3 | 211022200 |
| As time | 16272 seconds = 4 h 31 min 12 s |
Is 16272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16272 ÷ 2 = 8136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16272 ÷ 3 = 5424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16272 ÷ 4 = 4068) | 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 | Yes (16272 ÷ 6 = 2712) | 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 (16272 ÷ 8 = 2034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16272 ÷ 9 = 1808) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16272 ÷ 12 = 1356) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16272 a prime number?
No. 16272 = × × 113, so it is divisible by 2.
What are the factors of 16272?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 113, 144, 226, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 4068, 5424, 8136, 16272.
What is 16272 in binary?
11111110010000 (hexadecimal 3F90, octal 37620).
What is the square root of 16272?
About 127.5617, exactly 12√113.
Is 16272 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16272?
16272 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.