The number 74888
74888 is a composite number with 32 divisors. Its prime factorisation is × 11 × 23 × 37. Divisors (32): 1, 2, 4, 8, 11, 22, 23, 37, 44, 46, 74, 88, 92, 148, 184, 253 … 74888.
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How to work it out
- 1
74888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74888 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 74888 itself that is 89272, so 74888 is abundant (89272 is more than 74888). Euler's totient φ(74888) = 31680 numbers up to 74888 share no factor with it.
- 4
The digits of 74888 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74888 = 2^{3} \times 11 \times 23 \times 37 \]74888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 31680 |
| Square | 5608212544 |
| Cube | 419987820995072 |
| Square root | 273.656719 (= 2√18722) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.4888 × |
74888 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand eight hundred and eighty-eight |
| Binary (base 2) | 10010010010001000 |
| Octal (base 8) | 222210 |
| Hexadecimal (base 16) | 12488 |
| Base 3 | 10210201122 |
| As time | 74888 seconds = 20 h 48 min 8 s |
Is 74888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74888 ÷ 2 = 37444) | 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 (74888 ÷ 4 = 18722) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (74888 ÷ 8 = 9361) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (74888 ÷ 11 = 6808) | 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 74888 a prime number?
No. 74888 = × 11 × 23 × 37, so it is divisible by 2.
What are the factors of 74888?
1, 2, 4, 8, 11, 22, 23, 37, 44, 46, 74, 88, 92, 148, 184, 253, 296, 407, 506, 814, 851, 1012, 1628, 1702, 2024, 3256, 3404, 6808, 9361, 18722, 37444, 74888.
What is 74888 in binary?
10010010010001000 (hexadecimal 12488, octal 222210).
What is the square root of 74888?
About 273.6567, exactly 2√18722.
Is 74888 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 74888?
It is a composite number with 32 divisors.