The number 2136
2136 is a composite number with 16 divisors. Its prime factorisation is × 3 × 89. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2136: a Harshad number: divisible by its digit sum 12.
- 2
2136 is composite. Its prime factorisation is
- 3
The divisors add up to 5400; without 2136 itself that is 3264, so 2136 is abundant (3264 is more than 2136). Euler's totient φ(2136) = 704 numbers up to 2136 share no factor with it.
- 4
The digits of 2136 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2136 = 2^{3} \times 3 \times 89 \]2136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5400 |
| Euler totient φ(n) | 704 |
| Square | 4562496 |
| Cube | 9745491456 |
| Square root | 46.216880 (= 2√534) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 24 |
| Scientific notation | 2.136 × |
2136 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and thirty-six |
| Roman numerals | MMCXXXVI |
| Binary (base 2) | 100001011000 |
| Octal (base 8) | 4130 |
| Hexadecimal (base 16) | 858 |
| Base 3 | 2221010 |
| As time | 2136 seconds = 35 min 36 s |
Is 2136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2136 ÷ 2 = 1068) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2136 ÷ 3 = 712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2136 ÷ 4 = 534) | 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 | Yes (2136 ÷ 6 = 356) | 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 (2136 ÷ 8 = 267) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (2136 ÷ 12 = 178) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2136 a prime number?
No. 2136 = × 3 × 89, so it is divisible by 2.
What are the factors of 2136?
1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136.
What is 2136 in binary?
100001011000 (hexadecimal 858, octal 4130).
What is the square root of 2136?
About 46.2169, exactly 2√534.
What is 2136 in Roman numerals?
MMCXXXVI.
Is 2136 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2136?
2136 is a Harshad number: divisible by its digit sum 12.