The number 74004
74004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 881. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 881, 1762, 2643, 3524 … 74004.
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How to work it out
- 1
74004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74004 is composite. Its prime factorisation is
- 3
The divisors add up to 197568; without 74004 itself that is 123564, so 74004 is abundant (123564 is more than 74004). Euler's totient φ(74004) = 21120 numbers up to 74004 share no factor with it.
- 4
The digits of 74004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74004 = 2^{2} \times 3 \times 7 \times 881 \]74004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 197568 |
| Euler totient φ(n) | 21120 |
| Square | 5476592016 |
| Cube | 405289715552064 |
| Square root | 272.036762 (= 2√18501) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4004 × |
74004 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and four |
| Binary (base 2) | 10010000100010100 |
| Octal (base 8) | 220424 |
| Hexadecimal (base 16) | 12114 |
| Base 3 | 10202111220 |
| As time | 74004 seconds = 20 h 33 min 24 s |
Is 74004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74004 ÷ 2 = 37002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74004 ÷ 3 = 24668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74004 ÷ 4 = 18501) | 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 (74004 ÷ 6 = 12334) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74004 ÷ 7 = 10572) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74004 ÷ 12 = 6167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74004 a prime number?
No. 74004 = × 3 × 7 × 881, so it is divisible by 2.
What are the factors of 74004?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 881, 1762, 2643, 3524, 5286, 6167, 10572, 12334, 18501, 24668, 37002, 74004.
What is 74004 in binary?
10010000100010100 (hexadecimal 12114, octal 220424).
What is the square root of 74004?
About 272.0368, exactly 2√18501.
Is 74004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 74004?
It is a composite number with 24 divisors.