The number 1722
1722 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 41. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1722 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 1722 itself that is 2310, so 1722 is abundant (2310 is more than 1722). Euler's totient φ(1722) = 480 numbers up to 1722 share no factor with it.
- 4
The digits of 1722 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1722 = 2 \times 3 \times 7 \times 41 \]
1722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 480 |
| Square | 2965284 |
| Cube | 5106219048 |
| Square root | 41.496988 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.722 × |
1722 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and twenty-two |
| Roman numerals | MDCCXXII |
| Binary (base 2) | 11010111010 |
| Octal (base 8) | 3272 |
| Hexadecimal (base 16) | 6BA |
| Base 3 | 2100210 |
| As time | 1722 seconds = 28 min 42 s |
Is 1722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1722 ÷ 2 = 861) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1722 ÷ 3 = 574) | 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 (1722 ÷ 6 = 287) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1722 ÷ 7 = 246) | 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 3) | 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 6) | 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 1722 a prime number?
No. 1722 = 2 × 3 × 7 × 41, so it is divisible by 2.
What are the factors of 1722?
1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722.
What is 1722 in binary?
11010111010 (hexadecimal 6BA, octal 3272).
What is the square root of 1722?
About 41.4970.
What is 1722 in Roman numerals?
MDCCXXII.
Is 1722 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1722?
It is a composite number with 16 divisors.