The number 16724
16724 is a composite number with 12 divisors. Its prime factorisation is × 37 × 113. Divisors (12): 1, 2, 4, 37, 74, 113, 148, 226, 452, 4181, 8362, 16724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16724 is composite. Its prime factorisation is
- 3
The divisors add up to 30324; without 16724 itself that is 13600, so 16724 is deficient (13600 is less than 16724). Euler's totient φ(16724) = 8064 numbers up to 16724 share no factor with it.
- 4
The digits of 16724 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16724 = 2^{2} \times 37 \times 113 \]16724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30324 |
| Euler totient φ(n) | 8064 |
| Square | 279692176 |
| Cube | 4677571951424 |
| Square root | 129.321305 (= 2√4181) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6724 × |
16724 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and twenty-four |
| Binary (base 2) | 100000101010100 |
| Octal (base 8) | 40524 |
| Hexadecimal (base 16) | 4154 |
| Base 3 | 211221102 |
| As time | 16724 seconds = 4 h 38 min 44 s |
Is 16724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16724 ÷ 2 = 8362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16724 ÷ 4 = 4181) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16724 a prime number?
No. 16724 = × 37 × 113, so it is divisible by 2.
What are the factors of 16724?
1, 2, 4, 37, 74, 113, 148, 226, 452, 4181, 8362, 16724.
What is 16724 in binary?
100000101010100 (hexadecimal 4154, octal 40524).
What is the square root of 16724?
About 129.3213, exactly 2√4181.
Is 16724 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16724?
It is a composite number with 12 divisors.