The number 74500
74500 is a composite number with 24 divisors. Its prime factorisation is × × 149. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 149, 250, 298, 500, 596, 745 … 74500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74500 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 74500 itself that is 89300, so 74500 is abundant (89300 is more than 74500). Euler's totient φ(74500) = 29600 numbers up to 74500 share no factor with it.
- 4
The digits of 74500 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74500 = 2^{2} \times 5^{3} \times 149 \]74500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 29600 |
| Square | 5550250000 |
| Cube | 413493625000000 |
| Square root | 272.946881 (= 10√745) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.45 × |
74500 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred |
| Binary (base 2) | 10010001100000100 |
| Octal (base 8) | 221404 |
| Hexadecimal (base 16) | 12304 |
| Base 3 | 10210012021 |
| As time | 74500 seconds = 20 h 41 min 40 s |
Is 74500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74500 ÷ 2 = 37250) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74500 ÷ 4 = 18625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74500 ÷ 5 = 14900) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74500 ÷ 10 = 7450) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74500 a prime number?
No. 74500 = × × 149, so it is divisible by 2.
What are the factors of 74500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 149, 250, 298, 500, 596, 745, 1490, 2980, 3725, 7450, 14900, 18625, 37250, 74500.
What is 74500 in binary?
10010001100000100 (hexadecimal 12304, octal 221404).
What is the square root of 74500?
About 272.9469, exactly 10√745.
Is 74500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74500?
It is a composite number with 24 divisors.