The number 37404
37404 is a composite number with 18 divisors. Its prime factorisation is × × 1039. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1039, 2078, 3117, 4156, 6234, 9351, 12468 … 37404.
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How to work it out
- 1
What is special about 37404: a Harshad number: divisible by its digit sum 18.
- 2
37404 is composite. Its prime factorisation is
- 3
The divisors add up to 94640; without 37404 itself that is 57236, so 37404 is abundant (57236 is more than 37404). Euler's totient φ(37404) = 12456 numbers up to 37404 share no factor with it.
- 4
The digits of 37404 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37404 = 2^{2} \times 3^{2} \times 1039 \]37404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 94640 |
| Euler totient φ(n) | 12456 |
| Square | 1399059216 |
| Cube | 52330410915264 |
| Square root | 193.401138 (= 6√1039) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7404 × |
37404 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and four |
| Binary (base 2) | 1001001000011100 |
| Octal (base 8) | 111034 |
| Hexadecimal (base 16) | 921C |
| Base 3 | 1220022100 |
| As time | 37404 seconds = 10 h 23 min 24 s |
Is 37404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37404 ÷ 2 = 18702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37404 ÷ 3 = 12468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37404 ÷ 4 = 9351) | 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 (37404 ÷ 6 = 6234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (37404 ÷ 9 = 4156) | 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 | Yes (37404 ÷ 12 = 3117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37404 a prime number?
No. 37404 = × × 1039, so it is divisible by 2.
What are the factors of 37404?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1039, 2078, 3117, 4156, 6234, 9351, 12468, 18702, 37404.
What is 37404 in binary?
1001001000011100 (hexadecimal 921C, octal 111034).
What is the square root of 37404?
About 193.4011, exactly 6√1039.
Is 37404 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37404?
37404 is a Harshad number: divisible by its digit sum 18.