The number 3616
3616 is a composite number with 12 divisors. Its prime factorisation is × 113. Divisors (12): 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3616: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
3616 is composite. Its prime factorisation is
- 3
The divisors add up to 7182; without 3616 itself that is 3566, so 3616 is deficient (3566 is less than 3616). Euler's totient φ(3616) = 1792 numbers up to 3616 share no factor with it.
- 4
The digits of 3616 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3616 = 2^{5} \times 113 \]3616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7182 |
| Euler totient φ(n) | 1792 |
| Square | 13075456 |
| Cube | 47280848896 |
| Square root | 60.133186 (= 4√226) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 17 |
| Scientific notation | 3.616 × |
3616 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and sixteen |
| Roman numerals | MMMDCXVI |
| Binary (base 2) | 111000100000 |
| Octal (base 8) | 7040 |
| Hexadecimal (base 16) | E20 |
| Base 3 | 11221221 |
| As time | 3616 seconds = 1 h 0 min 16 s |
Is 3616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3616 ÷ 2 = 1808) | 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 (3616 ÷ 4 = 904) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (3616 ÷ 8 = 452) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 3616 a prime number?
No. 3616 = × 113, so it is divisible by 2.
What are the factors of 3616?
1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616.
What is 3616 in binary?
111000100000 (hexadecimal E20, octal 7040).
What is the square root of 3616?
About 60.1332, exactly 4√226.
What is 3616 in Roman numerals?
MMMDCXVI.
Is 3616 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3616?
3616 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.