The number 3650
3650 is a composite number with 12 divisors. Its prime factorisation is 2 × × 73. Divisors (12): 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3650: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3650 is composite. Its prime factorisation is
- 3
The divisors add up to 6882; without 3650 itself that is 3232, so 3650 is deficient (3232 is less than 3650). Euler's totient φ(3650) = 1440 numbers up to 3650 share no factor with it.
- 4
The digits of 3650 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3650 = 2 \times 5^{2} \times 73 \]3650 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6882 |
| Euler totient φ(n) | 1440 |
| Square | 13322500 |
| Cube | 48627125000 |
| Square root | 60.415230 (= 5√146) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.65 × |
3650 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and fifty |
| Roman numerals | MMMDCL |
| Binary (base 2) | 111001000010 |
| Octal (base 8) | 7102 |
| Hexadecimal (base 16) | E42 |
| Base 3 | 12000012 |
| As time | 3650 seconds = 1 h 0 min 50 s |
Is 3650 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3650 ÷ 2 = 1825) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3650 ÷ 5 = 730) | 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 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3650 ÷ 10 = 365) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3650 a prime number?
No. 3650 = 2 × × 73, so it is divisible by 2.
What are the factors of 3650?
1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650.
What is 3650 in binary?
111001000010 (hexadecimal E42, octal 7102).
What is the square root of 3650?
About 60.4152, exactly 5√146.
What is 3650 in Roman numerals?
MMMDCL.
Is 3650 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3650?
3650 is a happy number: repeatedly adding the squares of its digits reaches 1.