The number 46032
46032 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 137. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 46032.
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How to work it out
- 1
46032 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46032 is composite. Its prime factorisation is
- 3
The divisors add up to 136896; without 46032 itself that is 90864, so 46032 is abundant (90864 is more than 46032). Euler's totient φ(46032) = 13056 numbers up to 46032 share no factor with it.
- 4
The digits of 46032 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46032 = 2^{4} \times 3 \times 7 \times 137 \]46032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 136896 |
| Euler totient φ(n) | 13056 |
| Square | 2118945024 |
| Cube | 97539277344768 |
| Square root | 214.550693 (= 4√2877) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6032 × |
46032 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and thirty-two |
| Binary (base 2) | 1011001111010000 |
| Octal (base 8) | 131720 |
| Hexadecimal (base 16) | B3D0 |
| Base 3 | 2100010220 |
| As time | 46032 seconds = 12 h 47 min 12 s |
Is 46032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46032 ÷ 2 = 23016) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46032 ÷ 3 = 15344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46032 ÷ 4 = 11508) | 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 | Yes (46032 ÷ 6 = 7672) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46032 ÷ 7 = 6576) | 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 (46032 ÷ 8 = 5754) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46032 ÷ 12 = 3836) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46032 a prime number?
No. 46032 = × 3 × 7 × 137, so it is divisible by 2.
What are the factors of 46032?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 137, 168, 274, 336, 411, 548, 822, 959, 1096, 1644, 1918, 2192, 2877, 3288, 3836, 5754, 6576, 7672, 11508, 15344, 23016, 46032.
What is 46032 in binary?
1011001111010000 (hexadecimal B3D0, octal 131720).
What is the square root of 46032?
About 214.5507, exactly 4√2877.
Is 46032 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46032?
It is a composite number with 40 divisors.