The number 1608
1608 is a composite number with 16 divisors. Its prime factorisation is × 3 × 67. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1608 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1608 is composite. Its prime factorisation is
- 3
The divisors add up to 4080; without 1608 itself that is 2472, so 1608 is abundant (2472 is more than 1608). Euler's totient φ(1608) = 528 numbers up to 1608 share no factor with it.
- 4
The digits of 1608 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1608 = 2^{3} \times 3 \times 67 \]1608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4080 |
| Euler totient φ(n) | 528 |
| Square | 2585664 |
| Cube | 4157747712 |
| Square root | 40.099875 (= 2√402) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.608 × |
1608 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and eight |
| Roman numerals | MDCVIII |
| Binary (base 2) | 11001001000 |
| Octal (base 8) | 3110 |
| Hexadecimal (base 16) | 648 |
| Base 3 | 2012120 |
| As time | 1608 seconds = 26 min 48 s |
Is 1608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1608 ÷ 2 = 804) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1608 ÷ 3 = 536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1608 ÷ 4 = 402) | 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 (1608 ÷ 6 = 268) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (1608 ÷ 8 = 201) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (1608 ÷ 12 = 134) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1608 a prime number?
No. 1608 = × 3 × 67, so it is divisible by 2.
What are the factors of 1608?
1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608.
What is 1608 in binary?
11001001000 (hexadecimal 648, octal 3110).
What is the square root of 1608?
About 40.0999, exactly 2√402.
What is 1608 in Roman numerals?
MDCVIII.
Is 1608 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1608?
It is a composite number with 16 divisors.