The number 16072
16072 is a composite number with 24 divisors. Its prime factorisation is × × 41. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 41, 49, 56, 82, 98, 164, 196, 287, 328 … 16072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16072 is composite. Its prime factorisation is
- 3
The divisors add up to 35910; without 16072 itself that is 19838, so 16072 is abundant (19838 is more than 16072). Euler's totient φ(16072) = 6720 numbers up to 16072 share no factor with it.
- 4
The digits of 16072 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16072 = 2^{3} \times 7^{2} \times 41 \]16072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 35910 |
| Euler totient φ(n) | 6720 |
| Square | 258309184 |
| Cube | 4151545205248 |
| Square root | 126.775392 (= 14√82) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.6072 × |
16072 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and seventy-two |
| Binary (base 2) | 11111011001000 |
| Octal (base 8) | 37310 |
| Hexadecimal (base 16) | 3EC8 |
| Base 3 | 211001021 |
| As time | 16072 seconds = 4 h 27 min 52 s |
Is 16072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16072 ÷ 2 = 8036) | 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 (16072 ÷ 4 = 4018) | 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 (16072 ÷ 7 = 2296) | 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 (16072 ÷ 8 = 2009) | 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 1) | 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 16072 a prime number?
No. 16072 = × × 41, so it is divisible by 2.
What are the factors of 16072?
1, 2, 4, 7, 8, 14, 28, 41, 49, 56, 82, 98, 164, 196, 287, 328, 392, 574, 1148, 2009, 2296, 4018, 8036, 16072.
What is 16072 in binary?
11111011001000 (hexadecimal 3EC8, octal 37310).
What is the square root of 16072?
About 126.7754, exactly 14√82.
Is 16072 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16072?
It is a composite number with 24 divisors.