The number 42137
42137 is a composite number with 4 divisors. Its prime factorisation is 29 × 1453. Divisors (4): 1, 29, 1453, 42137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42137: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1453, the product of two primes.
- 2
42137 is composite. Its prime factorisation is
- 3
The divisors add up to 43620; without 42137 itself that is 1483, so 42137 is deficient (1483 is less than 42137). Euler's totient φ(42137) = 40656 numbers up to 42137 share no factor with it.
- 4
The digits of 42137 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42137 = 29 \times 1453 \]
42137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43620 |
| Euler totient φ(n) | 40656 |
| Square | 1775526769 |
| Cube | 74815371465353 |
| Square root | 205.272989 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2137 × |
42137 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and thirty-seven |
| Binary (base 2) | 1010010010011001 |
| Octal (base 8) | 122231 |
| Hexadecimal (base 16) | A499 |
| Base 3 | 2010210122 |
| As time | 42137 seconds = 11 h 42 min 17 s |
Is 42137 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 2) | 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 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 1) | 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 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42137 a prime number?
No. 42137 = 29 × 1453, so it is divisible by 29.
What are the factors of 42137?
1, 29, 1453, 42137.
What is 42137 in binary?
1010010010011001 (hexadecimal A499, octal 122231).
What is the square root of 42137?
About 205.2730.
Is 42137 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42137?
42137 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1453, the product of two primes.