The number 36029
36029 is a composite number with 4 divisors. Its prime factorisation is 7 × 5147. Divisors (4): 1, 7, 5147, 36029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36029: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5147, the product of two primes.
- 2
36029 is composite. Its prime factorisation is
- 3
The divisors add up to 41184; without 36029 itself that is 5155, so 36029 is deficient (5155 is less than 36029). Euler's totient φ(36029) = 30876 numbers up to 36029 share no factor with it.
- 4
The digits of 36029 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36029 = 7 \times 5147 \]
36029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41184 |
| Euler totient φ(n) | 30876 |
| Square | 1298088841 |
| Cube | 46768842852389 |
| Square root | 189.813066 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.6029 × |
36029 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and twenty-nine |
| Binary (base 2) | 1000110010111101 |
| Octal (base 8) | 106275 |
| Hexadecimal (base 16) | 8CBD |
| Base 3 | 1211102102 |
| As time | 36029 seconds = 10 h 0 min 29 s |
Is 36029 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 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36029 ÷ 7 = 5147) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36029 a prime number?
No. 36029 = 7 × 5147, so it is divisible by 7.
What are the factors of 36029?
1, 7, 5147, 36029.
What is 36029 in binary?
1000110010111101 (hexadecimal 8CBD, octal 106275).
What is the square root of 36029?
About 189.8131.
Is 36029 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36029?
36029 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5147, the product of two primes.