The number 31742
31742 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 269. Divisors (8): 1, 2, 59, 118, 269, 538, 15871, 31742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31742 is composite. Its prime factorisation is
- 3
The divisors add up to 48600; without 31742 itself that is 16858, so 31742 is deficient (16858 is less than 31742). Euler's totient φ(31742) = 15544 numbers up to 31742 share no factor with it.
- 4
The digits of 31742 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31742 = 2 \times 59 \times 269 \]
31742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48600 |
| Euler totient φ(n) | 15544 |
| Square | 1007554564 |
| Cube | 31981796970488 |
| Square root | 178.162847 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.1742 × |
31742 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and forty-two |
| Binary (base 2) | 111101111111110 |
| Octal (base 8) | 75776 |
| Hexadecimal (base 16) | 7BFE |
| Base 3 | 1121112122 |
| As time | 31742 seconds = 8 h 49 min 2 s |
Is 31742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31742 ÷ 2 = 15871) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 31742 a prime number?
No. 31742 = 2 × 59 × 269, so it is divisible by 2.
What are the factors of 31742?
1, 2, 59, 118, 269, 538, 15871, 31742.
What is 31742 in binary?
111101111111110 (hexadecimal 7BFE, octal 75776).
What is the square root of 31742?
About 178.1628.
Is 31742 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31742?
31742 is a happy number: repeatedly adding the squares of its digits reaches 1.