The number 16048
16048 is a composite number with 20 divisors. Its prime factorisation is × 17 × 59. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 59, 68, 118, 136, 236, 272, 472, 944, 1003 … 16048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16048 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 16048 itself that is 17432, so 16048 is abundant (17432 is more than 16048). Euler's totient φ(16048) = 7424 numbers up to 16048 share no factor with it.
- 4
The digits of 16048 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16048 = 2^{4} \times 17 \times 59 \]16048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 7424 |
| Square | 257538304 |
| Cube | 4132974702592 |
| Square root | 126.680701 (= 4√1003) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6048 × |
16048 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and forty-eight |
| Binary (base 2) | 11111010110000 |
| Octal (base 8) | 37260 |
| Hexadecimal (base 16) | 3EB0 |
| Base 3 | 211000101 |
| As time | 16048 seconds = 4 h 27 min 28 s |
Is 16048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16048 ÷ 2 = 8024) | 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 (16048 ÷ 4 = 4012) | 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 4) | 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 (16048 ÷ 8 = 2006) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 16048 a prime number?
No. 16048 = × 17 × 59, so it is divisible by 2.
What are the factors of 16048?
1, 2, 4, 8, 16, 17, 34, 59, 68, 118, 136, 236, 272, 472, 944, 1003, 2006, 4012, 8024, 16048.
What is 16048 in binary?
11111010110000 (hexadecimal 3EB0, octal 37260).
What is the square root of 16048?
About 126.6807, exactly 4√1003.
Is 16048 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16048?
It is a composite number with 20 divisors.