The number 34442
34442 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 1013. Divisors (8): 1, 2, 17, 34, 1013, 2026, 17221, 34442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34442: a Harshad number: divisible by its digit sum 17.
- 2
34442 is composite. Its prime factorisation is
- 3
The divisors add up to 54756; without 34442 itself that is 20314, so 34442 is deficient (20314 is less than 34442). Euler's totient φ(34442) = 16192 numbers up to 34442 share no factor with it.
- 4
The digits of 34442 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34442 = 2 \times 17 \times 1013 \]
34442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54756 |
| Euler totient φ(n) | 16192 |
| Square | 1186251364 |
| Cube | 40856869478888 |
| Square root | 185.585560 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4442 × |
34442 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and forty-two |
| Binary (base 2) | 1000011010001010 |
| Octal (base 8) | 103212 |
| Hexadecimal (base 16) | 868A |
| Base 3 | 1202020122 |
| As time | 34442 seconds = 9 h 34 min 2 s |
Is 34442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34442 ÷ 2 = 17221) | 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 2) | 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 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 1) | 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 34442 a prime number?
No. 34442 = 2 × 17 × 1013, so it is divisible by 2.
What are the factors of 34442?
1, 2, 17, 34, 1013, 2026, 17221, 34442.
What is 34442 in binary?
1000011010001010 (hexadecimal 868A, octal 103212).
What is the square root of 34442?
About 185.5856.
Is 34442 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 34442?
34442 is a Harshad number: divisible by its digit sum 17.