The number 16248
16248 is a composite number with 16 divisors. Its prime factorisation is × 3 × 677. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 677, 1354, 2031, 2708, 4062, 5416, 8124, 16248.
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How to work it out
- 1
16248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16248 is composite. Its prime factorisation is
- 3
The divisors add up to 40680; without 16248 itself that is 24432, so 16248 is abundant (24432 is more than 16248). Euler's totient φ(16248) = 5408 numbers up to 16248 share no factor with it.
- 4
The digits of 16248 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
\[ 16248 = 2^{3} \times 3 \times 677 \]16248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40680 |
| Euler totient φ(n) | 5408 |
| Square | 263997504 |
| Cube | 4289431444992 |
| Square root | 127.467643 (= 2√4062) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6248 × |
16248 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and forty-eight |
| Binary (base 2) | 11111101111000 |
| Octal (base 8) | 37570 |
| Hexadecimal (base 16) | 3F78 |
| Base 3 | 211021210 |
| As time | 16248 seconds = 4 h 30 min 48 s |
Is 16248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16248 ÷ 2 = 8124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16248 ÷ 3 = 5416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16248 ÷ 4 = 4062) | 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 | Yes (16248 ÷ 6 = 2708) | 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 | Yes (16248 ÷ 8 = 2031) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16248 ÷ 12 = 1354) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16248 a prime number?
No. 16248 = × 3 × 677, so it is divisible by 2.
What are the factors of 16248?
1, 2, 3, 4, 6, 8, 12, 24, 677, 1354, 2031, 2708, 4062, 5416, 8124, 16248.
What is 16248 in binary?
11111101111000 (hexadecimal 3F78, octal 37570).
What is the square root of 16248?
About 127.4676, exactly 2√4062.
Is 16248 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16248?
It is a composite number with 16 divisors.