The number 46431
46431 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 67. Divisors (24): 1, 3, 7, 9, 11, 21, 33, 63, 67, 77, 99, 201, 231, 469, 603, 693 … 46431.
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How to work it out
- 1
46431 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46431 is composite. Its prime factorisation is
- 3
The divisors add up to 84864; without 46431 itself that is 38433, so 46431 is deficient (38433 is less than 46431). Euler's totient φ(46431) = 23760 numbers up to 46431 share no factor with it.
- 4
The digits of 46431 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46431 = 3^{2} \times 7 \times 11 \times 67 \]46431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84864 |
| Euler totient φ(n) | 23760 |
| Square | 2155837761 |
| Cube | 100097703080991 |
| Square root | 215.478537 (= 3√5159) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6431 × |
46431 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and thirty-one |
| Binary (base 2) | 1011010101011111 |
| Octal (base 8) | 132537 |
| Hexadecimal (base 16) | B55F |
| Base 3 | 2100200200 |
| As time | 46431 seconds = 12 h 53 min 51 s |
Is 46431 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46431 ÷ 3 = 15477) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46431 ÷ 7 = 6633) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46431 ÷ 9 = 5159) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46431 ÷ 11 = 4221) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46431 a prime number?
No. 46431 = × 7 × 11 × 67, so it is divisible by 3.
What are the factors of 46431?
1, 3, 7, 9, 11, 21, 33, 63, 67, 77, 99, 201, 231, 469, 603, 693, 737, 1407, 2211, 4221, 5159, 6633, 15477, 46431.
What is 46431 in binary?
1011010101011111 (hexadecimal B55F, octal 132537).
What is the square root of 46431?
About 215.4785, exactly 3√5159.
Is 46431 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46431?
It is a composite number with 24 divisors.