The number 37052
37052 is a composite number with 12 divisors. Its prime factorisation is × 59 × 157. Divisors (12): 1, 2, 4, 59, 118, 157, 236, 314, 628, 9263, 18526, 37052.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37052 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37052 is composite. Its prime factorisation is
- 3
The divisors add up to 66360; without 37052 itself that is 29308, so 37052 is deficient (29308 is less than 37052). Euler's totient φ(37052) = 18096 numbers up to 37052 share no factor with it.
- 4
The digits of 37052 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37052 = 2^{2} \times 59 \times 157 \]37052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66360 |
| Euler totient φ(n) | 18096 |
| Square | 1372850704 |
| Cube | 50866864284608 |
| Square root | 192.488961 (= 2√9263) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.7052 × |
37052 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and fifty-two |
| Binary (base 2) | 1001000010111100 |
| Octal (base 8) | 110274 |
| Hexadecimal (base 16) | 90BC |
| Base 3 | 1212211022 |
| As time | 37052 seconds = 10 h 17 min 32 s |
Is 37052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37052 ÷ 2 = 18526) | 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 (37052 ÷ 4 = 9263) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37052 a prime number?
No. 37052 = × 59 × 157, so it is divisible by 2.
What are the factors of 37052?
1, 2, 4, 59, 118, 157, 236, 314, 628, 9263, 18526, 37052.
What is 37052 in binary?
1001000010111100 (hexadecimal 90BC, octal 110274).
What is the square root of 37052?
About 192.4890, exactly 2√9263.
Is 37052 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37052?
It is a composite number with 12 divisors.