The number 46428
46428 is a composite number with 24 divisors. Its prime factorisation is × 3 × 53 × 73. Divisors (24): 1, 2, 3, 4, 6, 12, 53, 73, 106, 146, 159, 212, 219, 292, 318, 438 … 46428.
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How to work it out
- 1
46428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46428 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 46428 itself that is 65460, so 46428 is abundant (65460 is more than 46428). Euler's totient φ(46428) = 14976 numbers up to 46428 share no factor with it.
- 4
The digits of 46428 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46428 = 2^{2} \times 3 \times 53 \times 73 \]46428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 14976 |
| Square | 2155559184 |
| Cube | 100078301794752 |
| Square root | 215.471576 (= 2√11607) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6428 × |
46428 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and twenty-eight |
| Binary (base 2) | 1011010101011100 |
| Octal (base 8) | 132534 |
| Hexadecimal (base 16) | B55C |
| Base 3 | 2100200120 |
| As time | 46428 seconds = 12 h 53 min 48 s |
Is 46428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46428 ÷ 2 = 23214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46428 ÷ 3 = 15476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46428 ÷ 4 = 11607) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46428 ÷ 6 = 7738) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (46428 ÷ 12 = 3869) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46428 a prime number?
No. 46428 = × 3 × 53 × 73, so it is divisible by 2.
What are the factors of 46428?
1, 2, 3, 4, 6, 12, 53, 73, 106, 146, 159, 212, 219, 292, 318, 438, 636, 876, 3869, 7738, 11607, 15476, 23214, 46428.
What is 46428 in binary?
1011010101011100 (hexadecimal B55C, octal 132534).
What is the square root of 46428?
About 215.4716, exactly 2√11607.
Is 46428 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46428?
It is a composite number with 24 divisors.