The number 37420
37420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1871. Divisors (12): 1, 2, 4, 5, 10, 20, 1871, 3742, 7484, 9355, 18710, 37420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37420 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 37420 itself that is 41204, so 37420 is abundant (41204 is more than 37420). Euler's totient φ(37420) = 14960 numbers up to 37420 share no factor with it.
- 4
The digits of 37420 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37420 = 2^{2} \times 5 \times 1871 \]37420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 14960 |
| Square | 1400256400 |
| Cube | 52397594488000 |
| Square root | 193.442498 (= 2√9355) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.742 × |
37420 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty |
| Binary (base 2) | 1001001000101100 |
| Octal (base 8) | 111054 |
| Hexadecimal (base 16) | 922C |
| Base 3 | 1220022221 |
| As time | 37420 seconds = 10 h 23 min 40 s |
Is 37420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37420 ÷ 2 = 18710) | 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 (37420 ÷ 4 = 9355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37420 ÷ 5 = 7484) | 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 | 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 4) | 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 (37420 ÷ 10 = 3742) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 37420 a prime number?
No. 37420 = × 5 × 1871, so it is divisible by 2.
What are the factors of 37420?
1, 2, 4, 5, 10, 20, 1871, 3742, 7484, 9355, 18710, 37420.
What is 37420 in binary?
1001001000101100 (hexadecimal 922C, octal 111054).
What is the square root of 37420?
About 193.4425, exactly 2√9355.
Is 37420 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37420?
It is a composite number with 12 divisors.