The number 4136
4136 is a composite number with 16 divisors. Its prime factorisation is × 11 × 47. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4136 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 4136 itself that is 4504, so 4136 is abundant (4504 is more than 4136). Euler's totient φ(4136) = 1840 numbers up to 4136 share no factor with it.
- 4
The digits of 4136 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4136 = 2^{3} \times 11 \times 47 \]4136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 1840 |
| Square | 17106496 |
| Cube | 70752467456 |
| Square root | 64.311741 (= 2√1034) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.136 × |
4136 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-six |
| Binary (base 2) | 1000000101000 |
| Octal (base 8) | 10050 |
| Hexadecimal (base 16) | 1028 |
| Base 3 | 12200012 |
| As time | 4136 seconds = 1 h 8 min 56 s |
Is 4136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4136 ÷ 2 = 2068) | 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 (4136 ÷ 4 = 1034) | 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 2) | 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 | Yes (4136 ÷ 8 = 517) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (4136 ÷ 11 = 376) | 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 4136 a prime number?
No. 4136 = × 11 × 47, so it is divisible by 2.
What are the factors of 4136?
1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136.
What is 4136 in binary?
1000000101000 (hexadecimal 1028, octal 10050).
What is the square root of 4136?
About 64.3117, exactly 2√1034.
Is 4136 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4136?
It is a composite number with 16 divisors.