The number 4132
4132 is a composite number with 6 divisors. Its prime factorisation is × 1033. Divisors (6): 1, 2, 4, 1033, 2066, 4132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4132 is composite. Its prime factorisation is
- 3
The divisors add up to 7238; without 4132 itself that is 3106, so 4132 is deficient (3106 is less than 4132). Euler's totient φ(4132) = 2064 numbers up to 4132 share no factor with it.
- 4
The digits of 4132 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4132 = 2^{2} \times 1033 \]4132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7238 |
| Euler totient φ(n) | 2064 |
| Square | 17073424 |
| Cube | 70547387968 |
| Square root | 64.280635 (= 2√1033) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.132 × |
4132 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-two |
| Binary (base 2) | 1000000100100 |
| Octal (base 8) | 10044 |
| Hexadecimal (base 16) | 1024 |
| Base 3 | 12200001 |
| As time | 4132 seconds = 1 h 8 min 52 s |
Is 4132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4132 ÷ 2 = 2066) | 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 (4132 ÷ 4 = 1033) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 7) | 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 4132 a prime number?
No. 4132 = × 1033, so it is divisible by 2.
What are the factors of 4132?
1, 2, 4, 1033, 2066, 4132.
What is 4132 in binary?
1000000100100 (hexadecimal 1024, octal 10044).
What is the square root of 4132?
About 64.2806, exactly 2√1033.
Is 4132 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4132?
It is a composite number with 6 divisors.