The number 42029
42029 is a composite number with 8 divisors. Its prime factorisation is 13 × 53 × 61. Divisors (8): 1, 13, 53, 61, 689, 793, 3233, 42029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42029 is composite. Its prime factorisation is
- 3
The divisors add up to 46872; without 42029 itself that is 4843, so 42029 is deficient (4843 is less than 42029). Euler's totient φ(42029) = 37440 numbers up to 42029 share no factor with it.
- 4
The digits of 42029 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42029 = 13 \times 53 \times 61 \]
42029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46872 |
| Euler totient φ(n) | 37440 |
| Square | 1766436841 |
| Cube | 74241573990389 |
| Square root | 205.009756 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2029 × |
42029 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and twenty-nine |
| Binary (base 2) | 1010010000101101 |
| Octal (base 8) | 122055 |
| Hexadecimal (base 16) | A42D |
| Base 3 | 2010122122 |
| As time | 42029 seconds = 11 h 40 min 29 s |
Is 42029 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42029 a prime number?
No. 42029 = 13 × 53 × 61, so it is divisible by 13.
What are the factors of 42029?
1, 13, 53, 61, 689, 793, 3233, 42029.
What is 42029 in binary?
1010010000101101 (hexadecimal A42D, octal 122055).
What is the square root of 42029?
About 205.0098.
Is 42029 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42029?
It is a composite number with 8 divisors.