The number 5616
5616 is a composite number with 40 divisors. Its prime factorisation is × × 13. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39 … 5616.
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How to work it out
- 1
What is special about 5616: a Harshad number: divisible by its digit sum 18.
- 2
5616 is composite. Its prime factorisation is
- 3
The divisors add up to 17360; without 5616 itself that is 11744, so 5616 is abundant (11744 is more than 5616). Euler's totient φ(5616) = 1728 numbers up to 5616 share no factor with it.
- 4
The digits of 5616 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5616 = 2^{4} \times 3^{3} \times 13 \]5616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 17360 |
| Euler totient φ(n) | 1728 |
| Square | 31539456 |
| Cube | 177125584896 |
| Square root | 74.939976 (= 12√39) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 5.616 × |
5616 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and sixteen |
| Binary (base 2) | 1010111110000 |
| Octal (base 8) | 12760 |
| Hexadecimal (base 16) | 15F0 |
| Base 3 | 21201000 |
| As time | 5616 seconds = 1 h 33 min 36 s |
Is 5616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5616 ÷ 2 = 2808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5616 ÷ 3 = 1872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5616 ÷ 4 = 1404) | 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 | Yes (5616 ÷ 6 = 936) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (5616 ÷ 8 = 702) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5616 ÷ 9 = 624) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5616 ÷ 12 = 468) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5616 a prime number?
No. 5616 = × × 13, so it is divisible by 2.
What are the factors of 5616?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616.
What is 5616 in binary?
1010111110000 (hexadecimal 15F0, octal 12760).
What is the square root of 5616?
About 74.9400, exactly 12√39.
Is 5616 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5616?
5616 is a Harshad number: divisible by its digit sum 18.