The number 1716
1716 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 13. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78 … 1716.
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How to work it out
- 1
1716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1716 is composite. Its prime factorisation is
- 3
The divisors add up to 4704; without 1716 itself that is 2988, so 1716 is abundant (2988 is more than 1716). Euler's totient φ(1716) = 480 numbers up to 1716 share no factor with it.
- 4
The digits of 1716 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1716 = 2^{2} \times 3 \times 11 \times 13 \]1716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 4704 |
| Euler totient φ(n) | 480 |
| Square | 2944656 |
| Cube | 5053029696 |
| Square root | 41.424630 (= 2√429) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.716 × |
1716 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and sixteen |
| Roman numerals | MDCCXVI |
| Binary (base 2) | 11010110100 |
| Octal (base 8) | 3264 |
| Hexadecimal (base 16) | 6B4 |
| Base 3 | 2100120 |
| As time | 1716 seconds = 28 min 36 s |
Is 1716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1716 ÷ 2 = 858) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1716 ÷ 3 = 572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1716 ÷ 4 = 429) | 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 (1716 ÷ 6 = 286) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 | Yes (1716 ÷ 11 = 156) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1716 ÷ 12 = 143) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1716 a prime number?
No. 1716 = × 3 × 11 × 13, so it is divisible by 2.
What are the factors of 1716?
1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716.
What is 1716 in binary?
11010110100 (hexadecimal 6B4, octal 3264).
What is the square root of 1716?
About 41.4246, exactly 2√429.
What is 1716 in Roman numerals?
MDCCXVI.
Is 1716 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1716?
It is a composite number with 24 divisors.