The number 16132
16132 is a composite number with 12 divisors. Its prime factorisation is × 37 × 109. Divisors (12): 1, 2, 4, 37, 74, 109, 148, 218, 436, 4033, 8066, 16132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16132 is composite. Its prime factorisation is
- 3
The divisors add up to 29260; without 16132 itself that is 13128, so 16132 is deficient (13128 is less than 16132). Euler's totient φ(16132) = 7776 numbers up to 16132 share no factor with it.
- 4
The digits of 16132 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16132 = 2^{2} \times 37 \times 109 \]16132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29260 |
| Euler totient φ(n) | 7776 |
| Square | 260241424 |
| Cube | 4198214651968 |
| Square root | 127.011810 (= 2√4033) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6132 × |
16132 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and thirty-two |
| Binary (base 2) | 11111100000100 |
| Octal (base 8) | 37404 |
| Hexadecimal (base 16) | 3F04 |
| Base 3 | 211010111 |
| As time | 16132 seconds = 4 h 28 min 52 s |
Is 16132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16132 ÷ 2 = 8066) | 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 (16132 ÷ 4 = 4033) | 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 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 4) | 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 6) | 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 16132 a prime number?
No. 16132 = × 37 × 109, so it is divisible by 2.
What are the factors of 16132?
1, 2, 4, 37, 74, 109, 148, 218, 436, 4033, 8066, 16132.
What is 16132 in binary?
11111100000100 (hexadecimal 3F04, octal 37404).
What is the square root of 16132?
About 127.0118, exactly 2√4033.
Is 16132 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16132?
It is a composite number with 12 divisors.