The number 37542
37542 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6257. Divisors (8): 1, 2, 3, 6, 6257, 12514, 18771, 37542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37542: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37542 is composite. Its prime factorisation is
- 3
The divisors add up to 75096; without 37542 itself that is 37554, so 37542 is abundant (37554 is more than 37542). Euler's totient φ(37542) = 12512 numbers up to 37542 share no factor with it.
- 4
The digits of 37542 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37542 = 2 \times 3 \times 6257 \]
37542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75096 |
| Euler totient φ(n) | 12512 |
| Square | 1409401764 |
| Cube | 52911761024088 |
| Square root | 193.757580 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.7542 × |
37542 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand five hundred and forty-two |
| Binary (base 2) | 1001001010100110 |
| Octal (base 8) | 111246 |
| Hexadecimal (base 16) | 92A6 |
| Base 3 | 1220111110 |
| As time | 37542 seconds = 10 h 25 min 42 s |
Is 37542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37542 ÷ 2 = 18771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37542 ÷ 3 = 12514) | 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 (37542 ÷ 6 = 6257) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 37542 a prime number?
No. 37542 = 2 × 3 × 6257, so it is divisible by 2.
What are the factors of 37542?
1, 2, 3, 6, 6257, 12514, 18771, 37542.
What is 37542 in binary?
1001001010100110 (hexadecimal 92A6, octal 111246).
What is the square root of 37542?
About 193.7576.
Is 37542 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 37542?
37542 is a happy number: repeatedly adding the squares of its digits reaches 1.