The number 1648
1648 is a composite number with 10 divisors. Its prime factorisation is × 103. Divisors (10): 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1648 is composite. Its prime factorisation is
- 3
The divisors add up to 3224; without 1648 itself that is 1576, so 1648 is deficient (1576 is less than 1648). Euler's totient φ(1648) = 816 numbers up to 1648 share no factor with it.
- 4
The digits of 1648 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1648 = 2^{4} \times 103 \]1648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 3224 |
| Euler totient φ(n) | 816 |
| Square | 2715904 |
| Cube | 4475809792 |
| Square root | 40.595566 (= 4√103) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.648 × |
1648 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and forty-eight |
| Roman numerals | MDCXLVIII |
| Binary (base 2) | 11001110000 |
| Octal (base 8) | 3160 |
| Hexadecimal (base 16) | 670 |
| Base 3 | 2021001 |
| As time | 1648 seconds = 27 min 28 s |
Is 1648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1648 ÷ 2 = 824) | 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 (1648 ÷ 4 = 412) | 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 | Yes (1648 ÷ 8 = 206) | 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 9) | 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 1648 a prime number?
No. 1648 = × 103, so it is divisible by 2.
What are the factors of 1648?
1, 2, 4, 8, 16, 103, 206, 412, 824, 1648.
What is 1648 in binary?
11001110000 (hexadecimal 670, octal 3160).
What is the square root of 1648?
About 40.5956, exactly 4√103.
What is 1648 in Roman numerals?
MDCXLVIII.
Is 1648 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1648?
It is a composite number with 10 divisors.