The number 46132
46132 is a composite number with 12 divisors. Its prime factorisation is × 19 × 607. Divisors (12): 1, 2, 4, 19, 38, 76, 607, 1214, 2428, 11533, 23066, 46132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46132 is composite. Its prime factorisation is
- 3
The divisors add up to 85120; without 46132 itself that is 38988, so 46132 is deficient (38988 is less than 46132). Euler's totient φ(46132) = 21816 numbers up to 46132 share no factor with it.
- 4
The digits of 46132 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46132 = 2^{2} \times 19 \times 607 \]46132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85120 |
| Euler totient φ(n) | 21816 |
| Square | 2128161424 |
| Cube | 98176342811968 |
| Square root | 214.783612 (= 2√11533) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6132 × |
46132 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and thirty-two |
| Binary (base 2) | 1011010000110100 |
| Octal (base 8) | 132064 |
| Hexadecimal (base 16) | B434 |
| Base 3 | 2100021121 |
| As time | 46132 seconds = 12 h 48 min 52 s |
Is 46132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46132 ÷ 2 = 23066) | 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 (46132 ÷ 4 = 11533) | 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 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46132 a prime number?
No. 46132 = × 19 × 607, so it is divisible by 2.
What are the factors of 46132?
1, 2, 4, 19, 38, 76, 607, 1214, 2428, 11533, 23066, 46132.
What is 46132 in binary?
1011010000110100 (hexadecimal B434, octal 132064).
What is the square root of 46132?
About 214.7836, exactly 2√11533.
Is 46132 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 46132?
It is a composite number with 12 divisors.