The number 37842
37842 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 53. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 53, 102, 106, 119, 159 … 37842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37842 is composite. Its prime factorisation is
- 3
The divisors add up to 93312; without 37842 itself that is 55470, so 37842 is abundant (55470 is more than 37842). Euler's totient φ(37842) = 9984 numbers up to 37842 share no factor with it.
- 4
The digits of 37842 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37842 = 2 \times 3 \times 7 \times 17 \times 53 \]
37842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 93312 |
| Euler totient φ(n) | 9984 |
| Square | 1432016964 |
| Cube | 54190385951688 |
| Square root | 194.530203 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.7842 × |
37842 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and forty-two |
| Binary (base 2) | 1001001111010010 |
| Octal (base 8) | 111722 |
| Hexadecimal (base 16) | 93D2 |
| Base 3 | 1220220120 |
| As time | 37842 seconds = 10 h 30 min 42 s |
Is 37842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37842 ÷ 2 = 18921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37842 ÷ 3 = 12614) | 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 | Yes (37842 ÷ 6 = 6307) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37842 ÷ 7 = 5406) | 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 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37842 a prime number?
No. 37842 = 2 × 3 × 7 × 17 × 53, so it is divisible by 2.
What are the factors of 37842?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 53, 102, 106, 119, 159, 238, 318, 357, 371, 714, 742, 901, 1113, 1802, 2226, 2703, 5406, 6307, 12614, 18921, 37842.
What is 37842 in binary?
1001001111010010 (hexadecimal 93D2, octal 111722).
What is the square root of 37842?
About 194.5302.
Is 37842 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 37842?
It is a composite number with 32 divisors.