The number 1742
1742 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 67. Divisors (8): 1, 2, 13, 26, 67, 134, 871, 1742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1742 is composite. Its prime factorisation is
- 3
The divisors add up to 2856; without 1742 itself that is 1114, so 1742 is deficient (1114 is less than 1742). Euler's totient φ(1742) = 792 numbers up to 1742 share no factor with it.
- 4
The digits of 1742 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1742 = 2 \times 13 \times 67 \]
1742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2856 |
| Euler totient φ(n) | 792 |
| Square | 3034564 |
| Cube | 5286210488 |
| Square root | 41.737274 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 179 |
| Scientific notation | 1.742 × |
1742 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and forty-two |
| Roman numerals | MDCCXLII |
| Binary (base 2) | 11011001110 |
| Octal (base 8) | 3316 |
| Hexadecimal (base 16) | 6CE |
| Base 3 | 2101112 |
| As time | 1742 seconds = 29 min 2 s |
Is 1742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1742 ÷ 2 = 871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1742 a prime number?
No. 1742 = 2 × 13 × 67, so it is divisible by 2.
What are the factors of 1742?
1, 2, 13, 26, 67, 134, 871, 1742.
What is 1742 in binary?
11011001110 (hexadecimal 6CE, octal 3316).
What is the square root of 1742?
About 41.7373.
What is 1742 in Roman numerals?
MDCCXLII.
Is 1742 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1742?
1742 is a happy number: repeatedly adding the squares of its digits reaches 1.