The number 37240
37240 is a composite number with 48 divisors. Its prime factorisation is × 5 × × 19. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 49, 56 … 37240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37240 is composite. Its prime factorisation is
- 3
The divisors add up to 102600; without 37240 itself that is 65360, so 37240 is abundant (65360 is more than 37240). Euler's totient φ(37240) = 12096 numbers up to 37240 share no factor with it.
- 4
The digits of 37240 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37240 = 2^{3} \times 5 \times 7^{2} \times 19 \]37240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 102600 |
| Euler totient φ(n) | 12096 |
| Square | 1386817600 |
| Cube | 51645087424000 |
| Square root | 192.976683 (= 14√190) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.724 × |
37240 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and forty |
| Binary (base 2) | 1001000101111000 |
| Octal (base 8) | 110570 |
| Hexadecimal (base 16) | 9178 |
| Base 3 | 1220002021 |
| As time | 37240 seconds = 10 h 20 min 40 s |
Is 37240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37240 ÷ 2 = 18620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37240 ÷ 4 = 9310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37240 ÷ 5 = 7448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37240 ÷ 7 = 5320) | 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 (37240 ÷ 8 = 4655) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37240 ÷ 10 = 3724) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37240 a prime number?
No. 37240 = × 5 × × 19, so it is divisible by 2.
What are the factors of 37240?
1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 49, 56, 70, 76, 95, 98, 133, 140, 152, 190, 196, 245, 266, 280, 380, 392, 490, 532, 665, 760, 931, 980, 1064, 1330, 1862, 1960, 2660, 3724, 4655, 5320, 7448, 9310, 18620, 37240.
What is 37240 in binary?
1001000101111000 (hexadecimal 9178, octal 110570).
What is the square root of 37240?
About 192.9767, exactly 14√190.
Is 37240 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37240?
It is a composite number with 48 divisors.