The number 74685
74685 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 383. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 383, 1149, 1915, 4979, 5745, 14937, 24895, 74685.
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How to work it out
- 1
What is special about 74685: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74685 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 74685 itself that is 54339, so 74685 is deficient (54339 is less than 74685). Euler's totient φ(74685) = 36672 numbers up to 74685 share no factor with it.
- 4
The digits of 74685 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
\[ 74685 = 3 \times 5 \times 13 \times 383 \]
74685 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 36672 |
| Square | 5577849225 |
| Cube | 416581669369125 |
| Square root | 273.285565 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4685 × |
74685 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand six hundred and eighty-five |
| Binary (base 2) | 10010001110111101 |
| Octal (base 8) | 221675 |
| Hexadecimal (base 16) | 123BD |
| Base 3 | 10210110010 |
| As time | 74685 seconds = 20 h 44 min 45 s |
Is 74685 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 (74685 ÷ 3 = 24895) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74685 ÷ 5 = 14937) | 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 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 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74685 a prime number?
No. 74685 = 3 × 5 × 13 × 383, so it is divisible by 3.
What are the factors of 74685?
1, 3, 5, 13, 15, 39, 65, 195, 383, 1149, 1915, 4979, 5745, 14937, 24895, 74685.
What is 74685 in binary?
10010001110111101 (hexadecimal 123BD, octal 221675).
What is the square root of 74685?
About 273.2856.
Is 74685 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 74685?
74685 is a happy number: repeatedly adding the squares of its digits reaches 1.