The number 20272
20272 is a composite number with 20 divisors. Its prime factorisation is × 7 × 181. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 181, 362, 724, 1267, 1448, 2534 … 20272.
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How to work it out
- 1
20272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20272 is composite. Its prime factorisation is
- 3
The divisors add up to 45136; without 20272 itself that is 24864, so 20272 is abundant (24864 is more than 20272). Euler's totient φ(20272) = 8640 numbers up to 20272 share no factor with it.
- 4
The digits of 20272 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20272 = 2^{4} \times 7 \times 181 \]20272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 45136 |
| Euler totient φ(n) | 8640 |
| Square | 410953984 |
| Cube | 8330859163648 |
| Square root | 142.379774 (= 4√1267) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 35 |
| Scientific notation | 2.0272 × |
20272 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and seventy-two |
| Binary (base 2) | 100111100110000 |
| Octal (base 8) | 47460 |
| Hexadecimal (base 16) | 4F30 |
| Base 3 | 1000210211 |
| As time | 20272 seconds = 5 h 37 min 52 s |
Is 20272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20272 ÷ 2 = 10136) | 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 (20272 ÷ 4 = 5068) | 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 | Yes (20272 ÷ 7 = 2896) | 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 (20272 ÷ 8 = 2534) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 20272 a prime number?
No. 20272 = × 7 × 181, so it is divisible by 2.
What are the factors of 20272?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 181, 362, 724, 1267, 1448, 2534, 2896, 5068, 10136, 20272.
What is 20272 in binary?
100111100110000 (hexadecimal 4F30, octal 47460).
What is the square root of 20272?
About 142.3798, exactly 4√1267.
Is 20272 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 20272?
It is a composite number with 20 divisors.