The number 37480
37480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 937. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 937, 1874, 3748, 4685, 7496, 9370, 18740, 37480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37480 is composite. Its prime factorisation is
- 3
The divisors add up to 84420; without 37480 itself that is 46940, so 37480 is abundant (46940 is more than 37480). Euler's totient φ(37480) = 14976 numbers up to 37480 share no factor with it.
- 4
The digits of 37480 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37480 = 2^{3} \times 5 \times 937 \]37480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84420 |
| Euler totient φ(n) | 14976 |
| Square | 1404750400 |
| Cube | 52650044992000 |
| Square root | 193.597521 (= 2√9370) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.748 × |
37480 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and eighty |
| Binary (base 2) | 1001001001101000 |
| Octal (base 8) | 111150 |
| Hexadecimal (base 16) | 9268 |
| Base 3 | 1220102011 |
| As time | 37480 seconds = 10 h 24 min 40 s |
Is 37480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37480 ÷ 2 = 18740) | 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 (37480 ÷ 4 = 9370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37480 ÷ 5 = 7496) | 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 2) | 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 (37480 ÷ 8 = 4685) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37480 ÷ 10 = 3748) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37480 a prime number?
No. 37480 = × 5 × 937, so it is divisible by 2.
What are the factors of 37480?
1, 2, 4, 5, 8, 10, 20, 40, 937, 1874, 3748, 4685, 7496, 9370, 18740, 37480.
What is 37480 in binary?
1001001001101000 (hexadecimal 9268, octal 111150).
What is the square root of 37480?
About 193.5975, exactly 2√9370.
Is 37480 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37480?
It is a composite number with 16 divisors.