The number 74788
74788 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2671. Divisors (12): 1, 2, 4, 7, 14, 28, 2671, 5342, 10684, 18697, 37394, 74788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74788 is composite. Its prime factorisation is
- 3
The divisors add up to 149632; without 74788 itself that is 74844, so 74788 is abundant (74844 is more than 74788). Euler's totient φ(74788) = 32040 numbers up to 74788 share no factor with it.
- 4
The digits of 74788 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74788 = 2^{2} \times 7 \times 2671 \]74788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 149632 |
| Euler totient φ(n) | 32040 |
| Square | 5593244944 |
| Cube | 418307602871872 |
| Square root | 273.473948 (= 2√18697) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4788 × |
74788 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and eighty-eight |
| Binary (base 2) | 10010010000100100 |
| Octal (base 8) | 222044 |
| Hexadecimal (base 16) | 12424 |
| Base 3 | 10210120221 |
| As time | 74788 seconds = 20 h 46 min 28 s |
Is 74788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74788 ÷ 2 = 37394) | 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 (74788 ÷ 4 = 18697) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74788 ÷ 7 = 10684) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 74788 a prime number?
No. 74788 = × 7 × 2671, so it is divisible by 2.
What are the factors of 74788?
1, 2, 4, 7, 14, 28, 2671, 5342, 10684, 18697, 37394, 74788.
What is 74788 in binary?
10010010000100100 (hexadecimal 12424, octal 222044).
What is the square root of 74788?
About 273.4739, exactly 2√18697.
Is 74788 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 74788?
It is a composite number with 12 divisors.