The number 608
608 is a composite number with 12 divisors. Its prime factorisation is × 19. Divisors (12): 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 608: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
608 is composite. Its prime factorisation is
- 3
The divisors add up to 1260; without 608 itself that is 652, so 608 is abundant (652 is more than 608). Euler's totient φ(608) = 288 numbers up to 608 share no factor with it.
- 4
The digits of 608 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 608 = 2^{5} \times 19 \]608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1260 |
| Euler totient φ(n) | 288 |
| Square | 369664 |
| Cube | 224755712 |
| Square root | 24.657656 (= 4√38) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 25 |
| Scientific notation | 6.08 × |
608 in other forms
| Form | Value |
|---|---|
| In words | six hundred and eight |
| Roman numerals | DCVIII |
| Binary (base 2) | 1001100000 |
| Octal (base 8) | 1140 |
| Hexadecimal (base 16) | 260 |
| Base 3 | 211112 |
| As time | 608 seconds = 10 min 8 s |
Is 608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (608 ÷ 2 = 304) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (608 ÷ 4 = 152) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (608 ÷ 8 = 76) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 608 a prime number?
No. 608 = × 19, so it is divisible by 2.
What are the factors of 608?
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608.
What is 608 in binary?
1001100000 (hexadecimal 260, octal 1140).
What is the square root of 608?
About 24.6577, exactly 4√38.
What is 608 in Roman numerals?
DCVIII.
Is 608 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 608?
608 is a happy number: repeatedly adding the squares of its digits reaches 1.