The number 37004
37004 is a composite number with 18 divisors. Its prime factorisation is × 11 × . Divisors (18): 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 841, 1276, 1682, 3364, 9251 … 37004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37004 is composite. Its prime factorisation is
- 3
The divisors add up to 73164; without 37004 itself that is 36160, so 37004 is deficient (36160 is less than 37004). Euler's totient φ(37004) = 16240 numbers up to 37004 share no factor with it.
- 4
The digits of 37004 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37004 = 2^{2} \times 11 \times 29^{2} \]37004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 73164 |
| Euler totient φ(n) | 16240 |
| Square | 1369296016 |
| Cube | 50669429776064 |
| Square root | 192.364238 (= 58√11) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7004 × |
37004 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and four |
| Binary (base 2) | 1001000010001100 |
| Octal (base 8) | 110214 |
| Hexadecimal (base 16) | 908C |
| Base 3 | 1212202112 |
| As time | 37004 seconds = 10 h 16 min 44 s |
Is 37004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37004 ÷ 2 = 18502) | 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 (37004 ÷ 4 = 9251) | 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 | No (remainder 2) | 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 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37004 ÷ 11 = 3364) | 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 37004 a prime number?
No. 37004 = × 11 × , so it is divisible by 2.
What are the factors of 37004?
1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 841, 1276, 1682, 3364, 9251, 18502, 37004.
What is 37004 in binary?
1001000010001100 (hexadecimal 908C, octal 110214).
What is the square root of 37004?
About 192.3642, exactly 58√11.
Is 37004 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37004?
It is a composite number with 18 divisors.