The number 6136
6136 is a composite number with 16 divisors. Its prime factorisation is × 13 × 59. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136.
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How to work it out
- 1
What is special about 6136: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6136 is composite. Its prime factorisation is
- 3
The divisors add up to 12600; without 6136 itself that is 6464, so 6136 is abundant (6464 is more than 6136). Euler's totient φ(6136) = 2784 numbers up to 6136 share no factor with it.
- 4
The digits of 6136 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6136 = 2^{3} \times 13 \times 59 \]6136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12600 |
| Euler totient φ(n) | 2784 |
| Square | 37650496 |
| Cube | 231023443456 |
| Square root | 78.332624 (= 2√1534) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.136 × |
6136 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and thirty-six |
| Binary (base 2) | 1011111111000 |
| Octal (base 8) | 13770 |
| Hexadecimal (base 16) | 17F8 |
| Base 3 | 22102021 |
| As time | 6136 seconds = 1 h 42 min 16 s |
Is 6136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6136 ÷ 2 = 3068) | 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 (6136 ÷ 4 = 1534) | 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 4) | 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 (6136 ÷ 8 = 767) | 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 6136 a prime number?
No. 6136 = × 13 × 59, so it is divisible by 2.
What are the factors of 6136?
1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136.
What is 6136 in binary?
1011111111000 (hexadecimal 17F8, octal 13770).
What is the square root of 6136?
About 78.3326, exactly 2√1534.
Is 6136 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6136?
6136 is a happy number: repeatedly adding the squares of its digits reaches 1.