The number 36673
36673 is a composite number with 12 divisors. Its prime factorisation is 7 × × 31. Divisors (12): 1, 7, 13, 31, 91, 169, 217, 403, 1183, 2821, 5239, 36673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36673: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36673 is composite. Its prime factorisation is
- 3
The divisors add up to 46848; without 36673 itself that is 10175, so 36673 is deficient (10175 is less than 36673). Euler's totient φ(36673) = 28080 numbers up to 36673 share no factor with it.
- 4
The digits of 36673 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36673 = 7 \times 13^{2} \times 31 \]36673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46848 |
| Euler totient φ(n) | 28080 |
| Square | 1344908929 |
| Cube | 49321845153217 |
| Square root | 191.501958 (= 13√217) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6673 × |
36673 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand six hundred and seventy-three |
| Binary (base 2) | 1000111101000001 |
| Octal (base 8) | 107501 |
| Hexadecimal (base 16) | 8F41 |
| Base 3 | 1212022021 |
| As time | 36673 seconds = 10 h 11 min 13 s |
Is 36673 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 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36673 ÷ 7 = 5239) | 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 1) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36673 a prime number?
No. 36673 = 7 × × 31, so it is divisible by 7.
What are the factors of 36673?
1, 7, 13, 31, 91, 169, 217, 403, 1183, 2821, 5239, 36673.
What is 36673 in binary?
1000111101000001 (hexadecimal 8F41, octal 107501).
What is the square root of 36673?
About 191.5020, exactly 13√217.
Is 36673 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36673?
36673 is a happy number: repeatedly adding the squares of its digits reaches 1.