The number 37040
37040 is a composite number with 20 divisors. Its prime factorisation is × 5 × 463. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 463, 926, 1852, 2315, 3704, 4630 … 37040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37040 is composite. Its prime factorisation is
- 3
The divisors add up to 86304; without 37040 itself that is 49264, so 37040 is abundant (49264 is more than 37040). Euler's totient φ(37040) = 14784 numbers up to 37040 share no factor with it.
- 4
The digits of 37040 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37040 = 2^{4} \times 5 \times 463 \]37040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 86304 |
| Euler totient φ(n) | 14784 |
| Square | 1371961600 |
| Cube | 50817457664000 |
| Square root | 192.457788 (= 4√2315) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.704 × |
37040 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and forty |
| Binary (base 2) | 1001000010110000 |
| Octal (base 8) | 110260 |
| Hexadecimal (base 16) | 90B0 |
| Base 3 | 1212210212 |
| As time | 37040 seconds = 10 h 17 min 20 s |
Is 37040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37040 ÷ 2 = 18520) | 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 (37040 ÷ 4 = 9260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37040 ÷ 5 = 7408) | 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 3) | 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 | Yes (37040 ÷ 8 = 4630) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37040 ÷ 10 = 3704) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 37040 a prime number?
No. 37040 = × 5 × 463, so it is divisible by 2.
What are the factors of 37040?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 463, 926, 1852, 2315, 3704, 4630, 7408, 9260, 18520, 37040.
What is 37040 in binary?
1001000010110000 (hexadecimal 90B0, octal 110260).
What is the square root of 37040?
About 192.4578, exactly 4√2315.
Is 37040 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37040?
It is a composite number with 20 divisors.