The number 1356
1356 is a composite number with 12 divisors. Its prime factorisation is × 3 × 113. Divisors (12): 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1356 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1356 is composite. Its prime factorisation is
- 3
The divisors add up to 3192; without 1356 itself that is 1836, so 1356 is abundant (1836 is more than 1356). Euler's totient φ(1356) = 448 numbers up to 1356 share no factor with it.
- 4
The digits of 1356 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1356 = 2^{2} \times 3 \times 113 \]1356 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3192 |
| Euler totient φ(n) | 448 |
| Square | 1838736 |
| Cube | 2493326016 |
| Square root | 36.823905 (= 2√339) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.356 × |
1356 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fifty-six |
| Roman numerals | MCCCLVI |
| Binary (base 2) | 10101001100 |
| Octal (base 8) | 2514 |
| Hexadecimal (base 16) | 54C |
| Base 3 | 1212020 |
| As time | 1356 seconds = 22 min 36 s |
Is 1356 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1356 ÷ 2 = 678) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1356 ÷ 3 = 452) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1356 ÷ 4 = 339) | 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 (1356 ÷ 6 = 226) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1356 ÷ 12 = 113) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1356 a prime number?
No. 1356 = × 3 × 113, so it is divisible by 2.
What are the factors of 1356?
1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356.
What is 1356 in binary?
10101001100 (hexadecimal 54C, octal 2514).
What is the square root of 1356?
About 36.8239, exactly 2√339.
What is 1356 in Roman numerals?
MCCCLVI.
Is 1356 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1356?
It is a composite number with 12 divisors.