The number 676
676 is a perfect square (26²) and a palindrome: it reads 676 backwards too. Its prime factorisation is × . Divisors (9): 1, 2, 4, 13, 26, 52, 169, 338, 676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 676: a perfect square (26²); a palindrome: it reads 676 backwards too.
- 2
676 is composite. Its prime factorisation is
- 3
The divisors add up to 1281; without 676 itself that is 605, so 676 is deficient (605 is less than 676). Euler's totient φ(676) = 312 numbers up to 676 share no factor with it.
- 4
The digits of 676 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 676 = 2^{2} \times 13^{2} \]676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 1281 |
| Euler totient φ(n) | 312 |
| Square | 456976 |
| Cube | 308915776 |
| Square root | 26 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 6.76 × |
| Perfect power |
676 in other forms
| Form | Value |
|---|---|
| In words | six hundred and seventy-six |
| Roman numerals | DCLXXVI |
| Binary (base 2) | 1010100100 |
| Octal (base 8) | 1244 |
| Hexadecimal (base 16) | 2A4 |
| Base 3 | 221001 |
| As time | 676 seconds = 11 min 16 s |
Is 676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (676 ÷ 2 = 338) | 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 (676 ÷ 4 = 169) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | 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 676 a prime number?
No. 676 = × , so it is divisible by 2.
What are the factors of 676?
1, 2, 4, 13, 26, 52, 169, 338, 676.
What is 676 in binary?
1010100100 (hexadecimal 2A4, octal 1244).
What is the square root of 676?
26, because 26 × 26 = 676.
What is 676 in Roman numerals?
DCLXXVI.
Is 676 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 676?
676 is a perfect square (26²); a palindrome: it reads 676 backwards too.