The number 74775
74775 is a composite number with 12 divisors. Its prime factorisation is 3 × × 997. Divisors (12): 1, 3, 5, 15, 25, 75, 997, 2991, 4985, 14955, 24925, 74775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74775: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74775 is composite. Its prime factorisation is
- 3
The divisors add up to 123752; without 74775 itself that is 48977, so 74775 is deficient (48977 is less than 74775). Euler's totient φ(74775) = 39840 numbers up to 74775 share no factor with it.
- 4
The digits of 74775 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74775 = 3 \times 5^{2} \times 997 \]74775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123752 |
| Euler totient φ(n) | 39840 |
| Square | 5591300625 |
| Cube | 418089504234375 |
| Square root | 273.450178 (= 5√2991) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4775 × |
74775 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and seventy-five |
| Binary (base 2) | 10010010000010111 |
| Octal (base 8) | 222027 |
| Hexadecimal (base 16) | 12417 |
| Base 3 | 10210120110 |
| As time | 74775 seconds = 20 h 46 min 15 s |
Is 74775 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 (74775 ÷ 3 = 24925) | 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 (74775 ÷ 5 = 14955) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | 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 74775 a prime number?
No. 74775 = 3 × × 997, so it is divisible by 3.
What are the factors of 74775?
1, 3, 5, 15, 25, 75, 997, 2991, 4985, 14955, 24925, 74775.
What is 74775 in binary?
10010010000010111 (hexadecimal 12417, octal 222027).
What is the square root of 74775?
About 273.4502, exactly 5√2991.
Is 74775 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 74775?
74775 is a happy number: repeatedly adding the squares of its digits reaches 1.