The number 3136
3136 is a perfect square (56²). Its prime factorisation is × . Divisors (21): 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224 … 3136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3136: a perfect square (56²).
- 2
3136 is composite. Its prime factorisation is
- 3
The divisors add up to 7239; without 3136 itself that is 4103, so 3136 is abundant (4103 is more than 3136). Euler's totient φ(3136) = 1344 numbers up to 3136 share no factor with it.
- 4
The digits of 3136 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3136 = 2^{6} \times 7^{2} \]3136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 21 |
| Sum of divisors | 7239 |
| Euler totient φ(n) | 1344 |
| Square | 9834496 |
| Cube | 30840979456 |
| Square root | 56 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.136 × |
| Perfect power |
3136 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and thirty-six |
| Roman numerals | MMMCXXXVI |
| Binary (base 2) | 110001000000 |
| Octal (base 8) | 6100 |
| Hexadecimal (base 16) | C40 |
| Base 3 | 11022011 |
| As time | 3136 seconds = 52 min 16 s |
Is 3136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3136 ÷ 2 = 1568) | 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 (3136 ÷ 4 = 784) | 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 | Yes (3136 ÷ 7 = 448) | 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 (3136 ÷ 8 = 392) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | 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 3136 a prime number?
No. 3136 = × , so it is divisible by 2.
What are the factors of 3136?
1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136.
What is 3136 in binary?
110001000000 (hexadecimal C40, octal 6100).
What is the square root of 3136?
56, because 56 × 56 = 3136.
What is 3136 in Roman numerals?
MMMCXXXVI.
Is 3136 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3136?
3136 is a perfect square (56²).