The number 37940
37940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 271. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 271, 542, 1084, 1355 … 37940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37940 is composite. Its prime factorisation is
- 3
The divisors add up to 91392; without 37940 itself that is 53452, so 37940 is abundant (53452 is more than 37940). Euler's totient φ(37940) = 12960 numbers up to 37940 share no factor with it.
- 4
The digits of 37940 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37940 = 2^{2} \times 5 \times 7 \times 271 \]37940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91392 |
| Euler totient φ(n) | 12960 |
| Square | 1439443600 |
| Cube | 54612490184000 |
| Square root | 194.781929 (= 2√9485) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.794 × |
37940 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and forty |
| Binary (base 2) | 1001010000110100 |
| Octal (base 8) | 112064 |
| Hexadecimal (base 16) | 9434 |
| Base 3 | 1221001012 |
| As time | 37940 seconds = 10 h 32 min 20 s |
Is 37940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37940 ÷ 2 = 18970) | 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 (37940 ÷ 4 = 9485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37940 ÷ 5 = 7588) | 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 | Yes (37940 ÷ 7 = 5420) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37940 ÷ 10 = 3794) | 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 37940 a prime number?
No. 37940 = × 5 × 7 × 271, so it is divisible by 2.
What are the factors of 37940?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 271, 542, 1084, 1355, 1897, 2710, 3794, 5420, 7588, 9485, 18970, 37940.
What is 37940 in binary?
1001010000110100 (hexadecimal 9434, octal 112064).
What is the square root of 37940?
About 194.7819, exactly 2√9485.
Is 37940 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37940?
It is a composite number with 24 divisors.