The number 1626
1626 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 271. Divisors (8): 1, 2, 3, 6, 271, 542, 813, 1626.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1626 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1626 is composite. Its prime factorisation is
- 3
The divisors add up to 3264; without 1626 itself that is 1638, so 1626 is abundant (1638 is more than 1626). Euler's totient φ(1626) = 540 numbers up to 1626 share no factor with it.
- 4
The digits of 1626 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1626 = 2 \times 3 \times 271 \]
1626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3264 |
| Euler totient φ(n) | 540 |
| Square | 2643876 |
| Cube | 4298942376 |
| Square root | 40.323690 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.626 × |
1626 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and twenty-six |
| Roman numerals | MDCXXVI |
| Binary (base 2) | 11001011010 |
| Octal (base 8) | 3132 |
| Hexadecimal (base 16) | 65A |
| Base 3 | 2020020 |
| As time | 1626 seconds = 27 min 6 s |
Is 1626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1626 ÷ 2 = 813) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1626 ÷ 3 = 542) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1626 ÷ 6 = 271) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 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 1626 a prime number?
No. 1626 = 2 × 3 × 271, so it is divisible by 2.
What are the factors of 1626?
1, 2, 3, 6, 271, 542, 813, 1626.
What is 1626 in binary?
11001011010 (hexadecimal 65A, octal 3132).
What is the square root of 1626?
About 40.3237.
What is 1626 in Roman numerals?
MDCXXVI.
Is 1626 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1626?
It is a composite number with 8 divisors.