The number 36016
36016 is a composite number with 10 divisors. Its prime factorisation is × 2251. Divisors (10): 1, 2, 4, 8, 16, 2251, 4502, 9004, 18008, 36016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36016: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
36016 is composite. Its prime factorisation is
- 3
The divisors add up to 69812; without 36016 itself that is 33796, so 36016 is deficient (33796 is less than 36016). Euler's totient φ(36016) = 18000 numbers up to 36016 share no factor with it.
- 4
The digits of 36016 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36016 = 2^{4} \times 2251 \]36016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 69812 |
| Euler totient φ(n) | 18000 |
| Square | 1297152256 |
| Cube | 46718235652096 |
| Square root | 189.778819 (= 4√2251) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.6016 × |
36016 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and sixteen |
| Binary (base 2) | 1000110010110000 |
| Octal (base 8) | 106260 |
| Hexadecimal (base 16) | 8CB0 |
| Base 3 | 1211101221 |
| As time | 36016 seconds = 10 h 0 min 16 s |
Is 36016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36016 ÷ 2 = 18008) | 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 | Yes (36016 ÷ 4 = 9004) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (36016 ÷ 8 = 4502) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36016 a prime number?
No. 36016 = × 2251, so it is divisible by 2.
What are the factors of 36016?
1, 2, 4, 8, 16, 2251, 4502, 9004, 18008, 36016.
What is 36016 in binary?
1000110010110000 (hexadecimal 8CB0, octal 106260).
What is the square root of 36016?
About 189.7788, exactly 4√2251.
Is 36016 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 36016?
36016 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.