The number 74508
74508 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 887. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 887, 1774, 2661, 3548 … 74508.
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How to work it out
- 1
74508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74508 is composite. Its prime factorisation is
- 3
The divisors add up to 198912; without 74508 itself that is 124404, so 74508 is abundant (124404 is more than 74508). Euler's totient φ(74508) = 21264 numbers up to 74508 share no factor with it.
- 4
The digits of 74508 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74508 = 2^{2} \times 3 \times 7 \times 887 \]74508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 198912 |
| Euler totient φ(n) | 21264 |
| Square | 5551442064 |
| Cube | 413626845304512 |
| Square root | 272.961536 (= 2√18627) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4508 × |
74508 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and eight |
| Binary (base 2) | 10010001100001100 |
| Octal (base 8) | 221414 |
| Hexadecimal (base 16) | 1230C |
| Base 3 | 10210012120 |
| As time | 74508 seconds = 20 h 41 min 48 s |
Is 74508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74508 ÷ 2 = 37254) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74508 ÷ 3 = 24836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74508 ÷ 4 = 18627) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74508 ÷ 6 = 12418) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74508 ÷ 7 = 10644) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74508 ÷ 12 = 6209) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74508 a prime number?
No. 74508 = × 3 × 7 × 887, so it is divisible by 2.
What are the factors of 74508?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 887, 1774, 2661, 3548, 5322, 6209, 10644, 12418, 18627, 24836, 37254, 74508.
What is 74508 in binary?
10010001100001100 (hexadecimal 1230C, octal 221414).
What is the square root of 74508?
About 272.9615, exactly 2√18627.
Is 74508 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74508?
It is a composite number with 24 divisors.