The number 37406
37406 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 317. Divisors (8): 1, 2, 59, 118, 317, 634, 18703, 37406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37406 is composite. Its prime factorisation is
- 3
The divisors add up to 57240; without 37406 itself that is 19834, so 37406 is deficient (19834 is less than 37406). Euler's totient φ(37406) = 18328 numbers up to 37406 share no factor with it.
- 4
The digits of 37406 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37406 = 2 \times 59 \times 317 \]
37406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57240 |
| Euler totient φ(n) | 18328 |
| Square | 1399208836 |
| Cube | 52338805719416 |
| Square root | 193.406308 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7406 × |
37406 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and six |
| Binary (base 2) | 1001001000011110 |
| Octal (base 8) | 111036 |
| Hexadecimal (base 16) | 921E |
| Base 3 | 1220022102 |
| As time | 37406 seconds = 10 h 23 min 26 s |
Is 37406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37406 ÷ 2 = 18703) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37406 a prime number?
No. 37406 = 2 × 59 × 317, so it is divisible by 2.
What are the factors of 37406?
1, 2, 59, 118, 317, 634, 18703, 37406.
What is 37406 in binary?
1001001000011110 (hexadecimal 921E, octal 111036).
What is the square root of 37406?
About 193.4063.
Is 37406 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37406?
It is a composite number with 8 divisors.