The number 1352
1352 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1352 is composite. Its prime factorisation is
- 3
The divisors add up to 2745; without 1352 itself that is 1393, so 1352 is abundant (1393 is more than 1352). Euler's totient φ(1352) = 624 numbers up to 1352 share no factor with it.
- 4
The digits of 1352 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1352 = 2^{3} \times 13^{2} \]1352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2745 |
| Euler totient φ(n) | 624 |
| Square | 1827904 |
| Cube | 2471326208 |
| Square root | 36.769553 (= 26√2) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.352 × |
1352 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fifty-two |
| Roman numerals | MCCCLII |
| Binary (base 2) | 10101001000 |
| Octal (base 8) | 2510 |
| Hexadecimal (base 16) | 548 |
| Base 3 | 1212002 |
| As time | 1352 seconds = 22 min 32 s |
Is 1352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1352 ÷ 2 = 676) | 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 (1352 ÷ 4 = 338) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (1352 ÷ 8 = 169) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 1352 a prime number?
No. 1352 = × , so it is divisible by 2.
What are the factors of 1352?
1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352.
What is 1352 in binary?
10101001000 (hexadecimal 548, octal 2510).
What is the square root of 1352?
About 36.7696, exactly 26√2.
What is 1352 in Roman numerals?
MCCCLII.
Is 1352 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1352?
It is a composite number with 12 divisors.