The number 36008
36008 is a composite number with 16 divisors. Its prime factorisation is × 7 × 643. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36008: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36008 is composite. Its prime factorisation is
- 3
The divisors add up to 77280; without 36008 itself that is 41272, so 36008 is abundant (41272 is more than 36008). Euler's totient φ(36008) = 15408 numbers up to 36008 share no factor with it.
- 4
The digits of 36008 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36008 = 2^{3} \times 7 \times 643 \]36008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77280 |
| Euler totient φ(n) | 15408 |
| Square | 1296576064 |
| Cube | 46687110912512 |
| Square root | 189.757740 (= 2√9002) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6008 × |
36008 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and eight |
| Binary (base 2) | 1000110010101000 |
| Octal (base 8) | 106250 |
| Hexadecimal (base 16) | 8CA8 |
| Base 3 | 1211101122 |
| As time | 36008 seconds = 10 h 0 min 8 s |
Is 36008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36008 ÷ 2 = 18004) | 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 | Yes (36008 ÷ 4 = 9002) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36008 ÷ 7 = 5144) | 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 | Yes (36008 ÷ 8 = 4501) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36008 a prime number?
No. 36008 = × 7 × 643, so it is divisible by 2.
What are the factors of 36008?
1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008.
What is 36008 in binary?
1000110010101000 (hexadecimal 8CA8, octal 106250).
What is the square root of 36008?
About 189.7577, exactly 2√9002.
Is 36008 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 36008?
36008 is a happy number: repeatedly adding the squares of its digits reaches 1.