The number 16348
16348 is a composite number with 12 divisors. Its prime factorisation is × 61 × 67. Divisors (12): 1, 2, 4, 61, 67, 122, 134, 244, 268, 4087, 8174, 16348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16348 is composite. Its prime factorisation is
- 3
The divisors add up to 29512; without 16348 itself that is 13164, so 16348 is deficient (13164 is less than 16348). Euler's totient φ(16348) = 7920 numbers up to 16348 share no factor with it.
- 4
The digits of 16348 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16348 = 2^{2} \times 61 \times 67 \]16348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29512 |
| Euler totient φ(n) | 7920 |
| Square | 267257104 |
| Cube | 4369119136192 |
| Square root | 127.859298 (= 2√4087) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6348 × |
16348 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and forty-eight |
| Binary (base 2) | 11111111011100 |
| Octal (base 8) | 37734 |
| Hexadecimal (base 16) | 3FDC |
| Base 3 | 211102111 |
| As time | 16348 seconds = 4 h 32 min 28 s |
Is 16348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16348 ÷ 2 = 8174) | 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 (16348 ÷ 4 = 4087) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 16348 a prime number?
No. 16348 = × 61 × 67, so it is divisible by 2.
What are the factors of 16348?
1, 2, 4, 61, 67, 122, 134, 244, 268, 4087, 8174, 16348.
What is 16348 in binary?
11111111011100 (hexadecimal 3FDC, octal 37734).
What is the square root of 16348?
About 127.8593, exactly 2√4087.
Is 16348 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16348?
It is a composite number with 12 divisors.