The number 702
702 is a composite number with 16 divisors. Its prime factorisation is 2 × × 13. Divisors (16): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 702: a Harshad number: divisible by its digit sum 9.
- 2
702 is composite. Its prime factorisation is
- 3
The divisors add up to 1680; without 702 itself that is 978, so 702 is abundant (978 is more than 702). Euler's totient φ(702) = 216 numbers up to 702 share no factor with it.
- 4
The digits of 702 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 702 = 2 \times 3^{3} \times 13 \]702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1680 |
| Euler totient φ(n) | 216 |
| Square | 492804 |
| Cube | 345948408 |
| Square root | 26.495283 (= 3√78) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 82 |
| Scientific notation | 7.02 × |
702 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and two |
| Roman numerals | DCCII |
| Binary (base 2) | 1010111110 |
| Octal (base 8) | 1276 |
| Hexadecimal (base 16) | 2BE |
| Base 3 | 222000 |
| As time | 702 seconds = 11 min 42 s |
Is 702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (702 ÷ 2 = 351) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (702 ÷ 3 = 234) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (702 ÷ 6 = 117) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (702 ÷ 9 = 78) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 702 a prime number?
No. 702 = 2 × × 13, so it is divisible by 2.
What are the factors of 702?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702.
What is 702 in binary?
1010111110 (hexadecimal 2BE, octal 1276).
What is the square root of 702?
About 26.4953, exactly 3√78.
What is 702 in Roman numerals?
DCCII.
Is 702 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 702?
702 is a Harshad number: divisible by its digit sum 9.