Number dictionary · Exact arithmetic
696: factors and number facts
six hundred ninety-six is an even number and is composite. Its 16 positive divisors form 8 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- six hundred ninety-six
- Roman numeral
- DCXCVI
- Prime factorization
- 2^3 × 3 × 29
- Digital root
- 3
All factors of 696
A positive factor divides 696 with no remainder. In ascending order, the complete list is:
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Factor pairs
- 1 × 696 = 696
- 2 × 348 = 696
- 3 × 232 = 696
- 4 × 174 = 696
- 6 × 116 = 696
- 8 × 87 = 696
- 12 × 58 = 696
- 24 × 29 = 696
Each pair describes an arrangement of 696 items into equal rows. The pairs have different row and column counts; 696 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 16
- Sum of all divisors
- 1800
- Sum excluding 696
- 1104
- Classification
- abundant
696 is abundant because its proper divisors add to 1104, which is greater than 696.
Prime factorization of 696
696 = 2^3 × 3 × 29
Repeated division, step by step
- 696 ÷ 2 = 348
- 348 ÷ 2 = 174
- 174 ÷ 2 = 87
- 87 ÷ 3 = 29
- 29 ÷ 29 = 1
Multiply the prime divisors in these steps to reconstruct 696. An exponent records how many times the same prime occurs. The divisor-count calculation is (3 + 1) × (1 + 1) × (1 + 1) = 16.
The preceding prime is 691. The next larger prime is 701. The factor list above explains why 696 is composite.
Learn the factorization method696 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | six hundred ninety-six |
| Roman numeral | DCXCVI |
| Binary (base 2) | 1010111000 |
| Octal (base 8) | 1270 |
| Decimal (base 10) | 696 |
| Hexadecimal (base 16) | 2B8 |
Check the binary conversion
Read 1010111000 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
512 + 128 + 32 + 16 + 8 = 696
Check the hexadecimal conversion
2 × 16^2 + 11 × 16^1 + 8 × 16^0 = 696
Hexadecimal uses A through F for digit values 10 through 15. These notations represent the same quantity; changing the base does not change the integer.
Square, cube and square root of 696
- 696 squared
- 696 × 696 = 484,416
- 696 cubed
- 696 × 696 × 696 = 337,153,536
- Square root
- ≈ 26.381812
- Simplified radical
- 2√174
696 lies between 676 (26²) and 729 (27²), so it is not a perfect square. It is not a perfect cube.
696 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 696.
Distinguish a square from a square rootMultiplication table for 696
These are the first twelve positive multiples. Unlike the finite factor list, the sequence of multiples continues without an upper limit.
Divisibility checks
| Divide by | Whole quotient | Remainder | Divides exactly? |
|---|---|---|---|
| 2 | 348 | 0 | Yes |
| 3 | 232 | 0 | Yes |
| 4 | 174 | 0 | Yes |
| 5 | 139 | 1 | No |
| 6 | 116 | 0 | Yes |
| 7 | 99 | 3 | No |
| 8 | 87 | 0 | Yes |
| 9 | 77 | 3 | No |
| 10 | 69 | 6 | No |
| 11 | 63 | 3 | No |
| 12 | 58 | 0 | Yes |
For example, 696 = 7 × 99 + 3. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 696
696 contains 3 decimal digits. Its digit sum is 6 + 9 + 6 = 21.
- 696: 6 + 9 + 6 = 21
- 21: 2 + 1 = 3
The digital root is 3. 696 reads the same forward and backward, making it a decimal palindrome. Digit patterns depend on the notation being used.
Digital-root arithmetic always finishes at a single digit for a positive integer. Some numerology methods stop at 11, 22 or 33 instead; that is a separate interpretive convention.
Fractions and a worked comparison
As a fraction of 100, 696/100 simplifies to 174/25 by dividing both terms by their greatest common divisor, 4. Its decimal value is 6.96. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 696 and 12 is 12. Their least common multiple is 696. The identity GCD × LCM = 696 × 12 = 8352 checks both results.
Work through GCF and LCMQuestions about 696
What are the factors of 696?
The positive factors are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 factors, including 1 and 696.
Is 696 a prime number?
No. 696 is composite: 2^3 × 3 × 29 = 696.
How do you write 696 in Roman numerals?
696 is DCXCVI in standard subtractive Roman numeral notation.
What is the binary representation of 696?
696 in decimal is 1010111000 in base 2. Adding its active place values gives 512 + 128 + 32 + 16 + 8 = 696.
Methods and reference definitions
Number JD calculates each result from the integer on this page. Positive factors are enumerated in pairs; repeated division gives the prime factorization; place values verify base conversions. Decimal square roots are rounded to six places when irrational.
NUMBER JOURNAL / JD
A reflective note on 696
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 696 add to 21. That arithmetic result is separate from the cultural symbolism of the pattern. If this number matters to you, write down what you noticed and choose one grounded action rather than treating the sighting as a prediction.