The number 42537
42537 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1289. Divisors (8): 1, 3, 11, 33, 1289, 3867, 14179, 42537.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42537: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42537 is composite. Its prime factorisation is
- 3
The divisors add up to 61920; without 42537 itself that is 19383, so 42537 is deficient (19383 is less than 42537). Euler's totient φ(42537) = 25760 numbers up to 42537 share no factor with it.
- 4
The digits of 42537 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42537 = 3 \times 11 \times 1289 \]
42537 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61920 |
| Euler totient φ(n) | 25760 |
| Square | 1809396369 |
| Cube | 76966293348153 |
| Square root | 206.245000 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2537 × |
42537 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and thirty-seven |
| Binary (base 2) | 1010011000101001 |
| Octal (base 8) | 123051 |
| Hexadecimal (base 16) | A629 |
| Base 3 | 2011100110 |
| As time | 42537 seconds = 11 h 48 min 57 s |
Is 42537 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 | Yes (42537 ÷ 3 = 14179) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 | Yes (42537 ÷ 11 = 3867) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42537 a prime number?
No. 42537 = 3 × 11 × 1289, so it is divisible by 3.
What are the factors of 42537?
1, 3, 11, 33, 1289, 3867, 14179, 42537.
What is 42537 in binary?
1010011000101001 (hexadecimal A629, octal 123051).
What is the square root of 42537?
About 206.2450.
Is 42537 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42537?
42537 is a happy number: repeatedly adding the squares of its digits reaches 1.