The number 74000
74000 is a composite number with 40 divisors. Its prime factorisation is × × 37. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 50, 74, 80, 100, 125 … 74000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74000 is composite. Its prime factorisation is
- 3
The divisors add up to 183768; without 74000 itself that is 109768, so 74000 is abundant (109768 is more than 74000). Euler's totient φ(74000) = 28800 numbers up to 74000 share no factor with it.
- 4
The digits of 74000 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74000 = 2^{4} \times 5^{3} \times 37 \]74000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 183768 |
| Euler totient φ(n) | 28800 |
| Square | 5476000000 |
| Cube | 405224000000000 |
| Square root | 272.029410 (= 20√185) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4 × |
74000 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand |
| Binary (base 2) | 10010000100010000 |
| Octal (base 8) | 220420 |
| Hexadecimal (base 16) | 12110 |
| Base 3 | 10202111202 |
| As time | 74000 seconds = 20 h 33 min 20 s |
Is 74000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74000 ÷ 2 = 37000) | 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 (74000 ÷ 4 = 18500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74000 ÷ 5 = 14800) | 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 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 | Yes (74000 ÷ 8 = 9250) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74000 ÷ 10 = 7400) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 74000 a prime number?
No. 74000 = × × 37, so it is divisible by 2.
What are the factors of 74000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 50, 74, 80, 100, 125, 148, 185, 200, 250, 296, 370, 400, 500, 592, 740, 925, 1000, 1480, 1850, 2000, 2960, 3700, 4625, 7400, 9250, 14800, 18500, 37000, 74000.
What is 74000 in binary?
10010000100010000 (hexadecimal 12110, octal 220420).
What is the square root of 74000?
About 272.0294, exactly 20√185.
Is 74000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 74000?
It is a composite number with 40 divisors.