The number 37074
37074 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 167. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 167, 222, 334, 501, 1002, 6179, 12358, 18537, 37074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37074 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37074 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 37074 itself that is 39534, so 37074 is abundant (39534 is more than 37074). Euler's totient φ(37074) = 11952 numbers up to 37074 share no factor with it.
- 4
The digits of 37074 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37074 = 2 \times 3 \times 37 \times 167 \]
37074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 11952 |
| Square | 1374481476 |
| Cube | 50957526241224 |
| Square root | 192.546098 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.7074 × |
37074 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and seventy-four |
| Binary (base 2) | 1001000011010010 |
| Octal (base 8) | 110322 |
| Hexadecimal (base 16) | 90D2 |
| Base 3 | 1212212010 |
| As time | 37074 seconds = 10 h 17 min 54 s |
Is 37074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37074 ÷ 2 = 18537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37074 ÷ 3 = 12358) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37074 ÷ 6 = 6179) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37074 a prime number?
No. 37074 = 2 × 3 × 37 × 167, so it is divisible by 2.
What are the factors of 37074?
1, 2, 3, 6, 37, 74, 111, 167, 222, 334, 501, 1002, 6179, 12358, 18537, 37074.
What is 37074 in binary?
1001000011010010 (hexadecimal 90D2, octal 110322).
What is the square root of 37074?
About 192.5461.
Is 37074 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 37074?
It is a composite number with 16 divisors.