The number 37412
37412 is a composite number with 12 divisors. Its prime factorisation is × 47 × 199. Divisors (12): 1, 2, 4, 47, 94, 188, 199, 398, 796, 9353, 18706, 37412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37412: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37412 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 37412 itself that is 29788, so 37412 is deficient (29788 is less than 37412). Euler's totient φ(37412) = 18216 numbers up to 37412 share no factor with it.
- 4
The digits of 37412 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37412 = 2^{2} \times 47 \times 199 \]37412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 18216 |
| Square | 1399657744 |
| Cube | 52363995518528 |
| Square root | 193.421819 (= 2√9353) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.7412 × |
37412 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twelve |
| Binary (base 2) | 1001001000100100 |
| Octal (base 8) | 111044 |
| Hexadecimal (base 16) | 9224 |
| Base 3 | 1220022122 |
| As time | 37412 seconds = 10 h 23 min 32 s |
Is 37412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37412 ÷ 2 = 18706) | 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 | Yes (37412 ÷ 4 = 9353) | 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 2) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37412 a prime number?
No. 37412 = × 47 × 199, so it is divisible by 2.
What are the factors of 37412?
1, 2, 4, 47, 94, 188, 199, 398, 796, 9353, 18706, 37412.
What is 37412 in binary?
1001001000100100 (hexadecimal 9224, octal 111044).
What is the square root of 37412?
About 193.4218, exactly 2√9353.
Is 37412 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37412?
37412 is a happy number: repeatedly adding the squares of its digits reaches 1.