The number 74835
74835 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1663. Divisors (12): 1, 3, 5, 9, 15, 45, 1663, 4989, 8315, 14967, 24945, 74835.
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How to work it out
- 1
74835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74835 is composite. Its prime factorisation is
- 3
The divisors add up to 129792; without 74835 itself that is 54957, so 74835 is deficient (54957 is less than 74835). Euler's totient φ(74835) = 39888 numbers up to 74835 share no factor with it.
- 4
The digits of 74835 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74835 = 3^{2} \times 5 \times 1663 \]74835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 129792 |
| Euler totient φ(n) | 39888 |
| Square | 5600277225 |
| Cube | 419096746132875 |
| Square root | 273.559865 (= 3√8315) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4835 × |
74835 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand eight hundred and thirty-five |
| Binary (base 2) | 10010010001010011 |
| Octal (base 8) | 222123 |
| Hexadecimal (base 16) | 12453 |
| Base 3 | 10210122200 |
| As time | 74835 seconds = 20 h 47 min 15 s |
Is 74835 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74835 ÷ 3 = 24945) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74835 ÷ 5 = 14967) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74835 ÷ 9 = 8315) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74835 a prime number?
No. 74835 = × 5 × 1663, so it is divisible by 3.
What are the factors of 74835?
1, 3, 5, 9, 15, 45, 1663, 4989, 8315, 14967, 24945, 74835.
What is 74835 in binary?
10010010001010011 (hexadecimal 12453, octal 222123).
What is the square root of 74835?
About 273.5599, exactly 3√8315.
Is 74835 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74835?
It is a composite number with 12 divisors.