The number 28072
28072 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 121, 232, 242, 319, 484 … 28072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28072 is composite. Its prime factorisation is
- 3
The divisors add up to 59850; without 28072 itself that is 31778, so 28072 is abundant (31778 is more than 28072). Euler's totient φ(28072) = 12320 numbers up to 28072 share no factor with it.
- 4
The digits of 28072 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28072 = 2^{3} \times 11^{2} \times 29 \]28072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 59850 |
| Euler totient φ(n) | 12320 |
| Square | 788037184 |
| Cube | 22121779829248 |
| Square root | 167.547008 (= 22√58) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8072 × |
28072 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and seventy-two |
| Binary (base 2) | 110110110101000 |
| Octal (base 8) | 66650 |
| Hexadecimal (base 16) | 6DA8 |
| Base 3 | 1102111201 |
| As time | 28072 seconds = 7 h 47 min 52 s |
Is 28072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28072 ÷ 2 = 14036) | 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 (28072 ÷ 4 = 7018) | 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 2) | 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 (28072 ÷ 8 = 3509) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (28072 ÷ 11 = 2552) | 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 28072 a prime number?
No. 28072 = × × 29, so it is divisible by 2.
What are the factors of 28072?
1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 121, 232, 242, 319, 484, 638, 968, 1276, 2552, 3509, 7018, 14036, 28072.
What is 28072 in binary?
110110110101000 (hexadecimal 6DA8, octal 66650).
What is the square root of 28072?
About 167.5470, exactly 22√58.
Is 28072 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 28072?
It is a composite number with 24 divisors.