The number 696
696 is a palindrome: it reads 696 backwards too. Its prime factorisation is × 3 × 29. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 696: a palindrome: it reads 696 backwards too.
- 2
696 is composite. Its prime factorisation is
- 3
The divisors add up to 1800; without 696 itself that is 1104, so 696 is abundant (1104 is more than 696). Euler's totient φ(696) = 224 numbers up to 696 share no factor with it.
- 4
The digits of 696 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 696 = 2^{3} \times 3 \times 29 \]696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1800 |
| Euler totient φ(n) | 224 |
| Square | 484416 |
| Cube | 337153536 |
| Square root | 26.381812 (= 2√174) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 6.96 × |
696 in other forms
| Form | Value |
|---|---|
| In words | six hundred and ninety-six |
| Roman numerals | DCXCVI |
| Binary (base 2) | 1010111000 |
| Octal (base 8) | 1270 |
| Hexadecimal (base 16) | 2B8 |
| Base 3 | 221210 |
| As time | 696 seconds = 11 min 36 s |
Is 696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (696 ÷ 2 = 348) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (696 ÷ 3 = 232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (696 ÷ 4 = 174) | 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 (696 ÷ 6 = 116) | 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 (696 ÷ 8 = 87) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (696 ÷ 12 = 58) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 696 a prime number?
No. 696 = × 3 × 29, so it is divisible by 2.
What are the factors of 696?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696.
What is 696 in binary?
1010111000 (hexadecimal 2B8, octal 1270).
What is the square root of 696?
About 26.3818, exactly 2√174.
What is 696 in Roman numerals?
DCXCVI.
Is 696 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 696?
696 is a palindrome: it reads 696 backwards too.