The number 16572
16572 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1381. Divisors (12): 1, 2, 3, 4, 6, 12, 1381, 2762, 4143, 5524, 8286, 16572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16572 is composite. Its prime factorisation is
- 3
The divisors add up to 38696; without 16572 itself that is 22124, so 16572 is abundant (22124 is more than 16572). Euler's totient φ(16572) = 5520 numbers up to 16572 share no factor with it.
- 4
The digits of 16572 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16572 = 2^{2} \times 3 \times 1381 \]16572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38696 |
| Euler totient φ(n) | 5520 |
| Square | 274631184 |
| Cube | 4551187981248 |
| Square root | 128.732280 (= 2√4143) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6572 × |
16572 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and seventy-two |
| Binary (base 2) | 100000010111100 |
| Octal (base 8) | 40274 |
| Hexadecimal (base 16) | 40BC |
| Base 3 | 211201210 |
| As time | 16572 seconds = 4 h 36 min 12 s |
Is 16572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16572 ÷ 2 = 8286) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16572 ÷ 3 = 5524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16572 ÷ 4 = 4143) | 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 (16572 ÷ 6 = 2762) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16572 ÷ 12 = 1381) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16572 a prime number?
No. 16572 = × 3 × 1381, so it is divisible by 2.
What are the factors of 16572?
1, 2, 3, 4, 6, 12, 1381, 2762, 4143, 5524, 8286, 16572.
What is 16572 in binary?
100000010111100 (hexadecimal 40BC, octal 40274).
What is the square root of 16572?
About 128.7323, exactly 2√4143.
Is 16572 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16572?
It is a composite number with 12 divisors.