The number 3608
3608 is a composite number with 16 divisors. Its prime factorisation is × 11 × 41. Divisors (16): 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3608: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3608 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 3608 itself that is 3952, so 3608 is abundant (3952 is more than 3608). Euler's totient φ(3608) = 1600 numbers up to 3608 share no factor with it.
- 4
The digits of 3608 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3608 = 2^{3} \times 11 \times 41 \]3608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1600 |
| Square | 13017664 |
| Cube | 46967731712 |
| Square root | 60.066630 (= 2√902) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.608 × |
3608 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and eight |
| Roman numerals | MMMDCVIII |
| Binary (base 2) | 111000011000 |
| Octal (base 8) | 7030 |
| Hexadecimal (base 16) | E18 |
| Base 3 | 11221122 |
| As time | 3608 seconds = 1 h 0 min 8 s |
Is 3608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3608 ÷ 2 = 1804) | 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 (3608 ÷ 4 = 902) | 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 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 (3608 ÷ 8 = 451) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (3608 ÷ 11 = 328) | 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 3608 a prime number?
No. 3608 = × 11 × 41, so it is divisible by 2.
What are the factors of 3608?
1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608.
What is 3608 in binary?
111000011000 (hexadecimal E18, octal 7030).
What is the square root of 3608?
About 60.0666, exactly 2√902.
What is 3608 in Roman numerals?
MMMDCVIII.
Is 3608 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3608?
3608 is a happy number: repeatedly adding the squares of its digits reaches 1.