The number 36002
36002 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 383. Divisors (8): 1, 2, 47, 94, 383, 766, 18001, 36002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36002: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36002 is composite. Its prime factorisation is
- 3
The divisors add up to 55296; without 36002 itself that is 19294, so 36002 is deficient (19294 is less than 36002). Euler's totient φ(36002) = 17572 numbers up to 36002 share no factor with it.
- 4
The digits of 36002 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36002 = 2 \times 47 \times 383 \]
36002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55296 |
| Euler totient φ(n) | 17572 |
| Square | 1296144004 |
| Cube | 46663776432008 |
| Square root | 189.741930 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.6002 × |
36002 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and two |
| Binary (base 2) | 1000110010100010 |
| Octal (base 8) | 106242 |
| Hexadecimal (base 16) | 8CA2 |
| Base 3 | 1211101102 |
| As time | 36002 seconds = 10 h 0 min 2 s |
Is 36002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36002 ÷ 2 = 18001) | 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 | No (remainder 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36002 a prime number?
No. 36002 = 2 × 47 × 383, so it is divisible by 2.
What are the factors of 36002?
1, 2, 47, 94, 383, 766, 18001, 36002.
What is 36002 in binary?
1000110010100010 (hexadecimal 8CA2, octal 106242).
What is the square root of 36002?
About 189.7419.
Is 36002 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 36002?
36002 is a happy number: repeatedly adding the squares of its digits reaches 1.