The number 37242
37242 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2069. Divisors (12): 1, 2, 3, 6, 9, 18, 2069, 4138, 6207, 12414, 18621, 37242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37242: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
37242 is composite. Its prime factorisation is
- 3
The divisors add up to 80730; without 37242 itself that is 43488, so 37242 is abundant (43488 is more than 37242). Euler's totient φ(37242) = 12408 numbers up to 37242 share no factor with it.
- 4
The digits of 37242 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37242 = 2 \times 3^{2} \times 2069 \]37242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80730 |
| Euler totient φ(n) | 12408 |
| Square | 1386966564 |
| Cube | 51653408776488 |
| Square root | 192.981864 (= 3√4138) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7242 × |
37242 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and forty-two |
| Binary (base 2) | 1001000101111010 |
| Octal (base 8) | 110572 |
| Hexadecimal (base 16) | 917A |
| Base 3 | 1220002100 |
| As time | 37242 seconds = 10 h 20 min 42 s |
Is 37242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37242 ÷ 2 = 18621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37242 ÷ 3 = 12414) | 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 (37242 ÷ 6 = 6207) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (37242 ÷ 9 = 4138) | 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 7) | 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 37242 a prime number?
No. 37242 = 2 × × 2069, so it is divisible by 2.
What are the factors of 37242?
1, 2, 3, 6, 9, 18, 2069, 4138, 6207, 12414, 18621, 37242.
What is 37242 in binary?
1001000101111010 (hexadecimal 917A, octal 110572).
What is the square root of 37242?
About 192.9819, exactly 3√4138.
Is 37242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37242?
37242 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.