The number 616
616 is a palindrome: it reads 616 backwards too. Its prime factorisation is × 7 × 11. Divisors (16): 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 616: a palindrome: it reads 616 backwards too.
- 2
616 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 616 itself that is 824, so 616 is abundant (824 is more than 616). Euler's totient φ(616) = 240 numbers up to 616 share no factor with it.
- 4
The digits of 616 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 616 = 2^{3} \times 7 \times 11 \]616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 240 |
| Square | 379456 |
| Cube | 233744896 |
| Square root | 24.819347 (= 2√154) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 25 |
| Scientific notation | 6.16 × |
616 in other forms
| Form | Value |
|---|---|
| In words | six hundred and sixteen |
| Roman numerals | DCXVI |
| Binary (base 2) | 1001101000 |
| Octal (base 8) | 1150 |
| Hexadecimal (base 16) | 268 |
| Base 3 | 211211 |
| As time | 616 seconds = 10 min 16 s |
Is 616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (616 ÷ 2 = 308) | 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 (616 ÷ 4 = 154) | 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 | Yes (616 ÷ 7 = 88) | 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 (616 ÷ 8 = 77) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (616 ÷ 11 = 56) | 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 616 a prime number?
No. 616 = × 7 × 11, so it is divisible by 2.
What are the factors of 616?
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616.
What is 616 in binary?
1001101000 (hexadecimal 268, octal 1150).
What is the square root of 616?
About 24.8193, exactly 2√154.
What is 616 in Roman numerals?
DCXVI.
Is 616 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 616?
616 is a palindrome: it reads 616 backwards too.