The number 16672
16672 is a composite number with 12 divisors. Its prime factorisation is × 521. Divisors (12): 1, 2, 4, 8, 16, 32, 521, 1042, 2084, 4168, 8336, 16672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16672 is composite. Its prime factorisation is
- 3
The divisors add up to 32886; without 16672 itself that is 16214, so 16672 is deficient (16214 is less than 16672). Euler's totient φ(16672) = 8320 numbers up to 16672 share no factor with it.
- 4
The digits of 16672 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16672 = 2^{5} \times 521 \]16672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32886 |
| Euler totient φ(n) | 8320 |
| Square | 277955584 |
| Cube | 4634075496448 |
| Square root | 129.120099 (= 4√1042) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6672 × |
16672 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and seventy-two |
| Binary (base 2) | 100000100100000 |
| Octal (base 8) | 40440 |
| Hexadecimal (base 16) | 4120 |
| Base 3 | 211212111 |
| As time | 16672 seconds = 4 h 37 min 52 s |
Is 16672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16672 ÷ 2 = 8336) | 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 (16672 ÷ 4 = 4168) | 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 5) | 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 (16672 ÷ 8 = 2084) | 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 7) | 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 16672 a prime number?
No. 16672 = × 521, so it is divisible by 2.
What are the factors of 16672?
1, 2, 4, 8, 16, 32, 521, 1042, 2084, 4168, 8336, 16672.
What is 16672 in binary?
100000100100000 (hexadecimal 4120, octal 40440).
What is the square root of 16672?
About 129.1201, exactly 4√1042.
Is 16672 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16672?
It is a composite number with 12 divisors.