The number 16036
16036 is a composite number with 12 divisors. Its prime factorisation is × 19 × 211. Divisors (12): 1, 2, 4, 19, 38, 76, 211, 422, 844, 4009, 8018, 16036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16036: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16036 is composite. Its prime factorisation is
- 3
The divisors add up to 29680; without 16036 itself that is 13644, so 16036 is deficient (13644 is less than 16036). Euler's totient φ(16036) = 7560 numbers up to 16036 share no factor with it.
- 4
The digits of 16036 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16036 = 2^{2} \times 19 \times 211 \]16036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29680 |
| Euler totient φ(n) | 7560 |
| Square | 257153296 |
| Cube | 4123710254656 |
| Square root | 126.633329 (= 2√4009) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6036 × |
16036 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and thirty-six |
| Binary (base 2) | 11111010100100 |
| Octal (base 8) | 37244 |
| Hexadecimal (base 16) | 3EA4 |
| Base 3 | 210222221 |
| As time | 16036 seconds = 4 h 27 min 16 s |
Is 16036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16036 ÷ 2 = 8018) | 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 (16036 ÷ 4 = 4009) | 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 6) | 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 4) | 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 9) | 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 16036 a prime number?
No. 16036 = × 19 × 211, so it is divisible by 2.
What are the factors of 16036?
1, 2, 4, 19, 38, 76, 211, 422, 844, 4009, 8018, 16036.
What is 16036 in binary?
11111010100100 (hexadecimal 3EA4, octal 37244).
What is the square root of 16036?
About 126.6333, exactly 2√4009.
Is 16036 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16036?
16036 is a happy number: repeatedly adding the squares of its digits reaches 1.