The number 34742
34742 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 599. Divisors (8): 1, 2, 29, 58, 599, 1198, 17371, 34742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34742 is composite. Its prime factorisation is
- 3
The divisors add up to 54000; without 34742 itself that is 19258, so 34742 is deficient (19258 is less than 34742). Euler's totient φ(34742) = 16744 numbers up to 34742 share no factor with it.
- 4
The digits of 34742 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34742 = 2 \times 29 \times 599 \]
34742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54000 |
| Euler totient φ(n) | 16744 |
| Square | 1207006564 |
| Cube | 41933822046488 |
| Square root | 186.392060 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4742 × |
34742 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and forty-two |
| Binary (base 2) | 1000011110110110 |
| Octal (base 8) | 103666 |
| Hexadecimal (base 16) | 87B6 |
| Base 3 | 1202122202 |
| As time | 34742 seconds = 9 h 39 min 2 s |
Is 34742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34742 ÷ 2 = 17371) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 34742 a prime number?
No. 34742 = 2 × 29 × 599, so it is divisible by 2.
What are the factors of 34742?
1, 2, 29, 58, 599, 1198, 17371, 34742.
What is 34742 in binary?
1000011110110110 (hexadecimal 87B6, octal 103666).
What is the square root of 34742?
About 186.3921.
Is 34742 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 34742?
34742 is a happy number: repeatedly adding the squares of its digits reaches 1.