The number 2132
2132 is a composite number with 12 divisors. Its prime factorisation is × 13 × 41. Divisors (12): 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2132 is composite. Its prime factorisation is
- 3
The divisors add up to 4116; without 2132 itself that is 1984, so 2132 is deficient (1984 is less than 2132). Euler's totient φ(2132) = 960 numbers up to 2132 share no factor with it.
- 4
The digits of 2132 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2132 = 2^{2} \times 13 \times 41 \]2132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4116 |
| Euler totient φ(n) | 960 |
| Square | 4545424 |
| Cube | 9690843968 |
| Square root | 46.173586 (= 2√533) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.132 × |
2132 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and thirty-two |
| Roman numerals | MMCXXXII |
| Binary (base 2) | 100001010100 |
| Octal (base 8) | 4124 |
| Hexadecimal (base 16) | 854 |
| Base 3 | 2220222 |
| As time | 2132 seconds = 35 min 32 s |
Is 2132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2132 ÷ 2 = 1066) | 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 (2132 ÷ 4 = 533) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | 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 2132 a prime number?
No. 2132 = × 13 × 41, so it is divisible by 2.
What are the factors of 2132?
1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132.
What is 2132 in binary?
100001010100 (hexadecimal 854, octal 4124).
What is the square root of 2132?
About 46.1736, exactly 2√533.
What is 2132 in Roman numerals?
MMCXXXII.
Is 2132 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2132?
It is a composite number with 12 divisors.