The number 16344
16344 is a composite number with 24 divisors. Its prime factorisation is × × 227. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 227, 454, 681, 908 … 16344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16344: a Harshad number: divisible by its digit sum 18.
- 2
16344 is composite. Its prime factorisation is
- 3
The divisors add up to 44460; without 16344 itself that is 28116, so 16344 is abundant (28116 is more than 16344). Euler's totient φ(16344) = 5424 numbers up to 16344 share no factor with it.
- 4
The digits of 16344 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16344 = 2^{3} \times 3^{2} \times 227 \]16344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 44460 |
| Euler totient φ(n) | 5424 |
| Square | 267126336 |
| Cube | 4365912835584 |
| Square root | 127.843655 (= 6√454) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6344 × |
16344 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and forty-four |
| Binary (base 2) | 11111111011000 |
| Octal (base 8) | 37730 |
| Hexadecimal (base 16) | 3FD8 |
| Base 3 | 211102100 |
| As time | 16344 seconds = 4 h 32 min 24 s |
Is 16344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16344 ÷ 2 = 8172) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16344 ÷ 3 = 5448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16344 ÷ 4 = 4086) | 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 | Yes (16344 ÷ 6 = 2724) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (16344 ÷ 8 = 2043) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16344 ÷ 9 = 1816) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16344 ÷ 12 = 1362) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16344 a prime number?
No. 16344 = × × 227, so it is divisible by 2.
What are the factors of 16344?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 4086, 5448, 8172, 16344.
What is 16344 in binary?
11111111011000 (hexadecimal 3FD8, octal 37730).
What is the square root of 16344?
About 127.8437, exactly 6√454.
Is 16344 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16344?
16344 is a Harshad number: divisible by its digit sum 18.