The number 46221
46221 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 71. Divisors (16): 1, 3, 7, 21, 31, 71, 93, 213, 217, 497, 651, 1491, 2201, 6603, 15407, 46221.
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How to work it out
- 1
46221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46221 is composite. Its prime factorisation is
- 3
The divisors add up to 73728; without 46221 itself that is 27507, so 46221 is deficient (27507 is less than 46221). Euler's totient φ(46221) = 25200 numbers up to 46221 share no factor with it.
- 4
The digits of 46221 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46221 = 3 \times 7 \times 31 \times 71 \]
46221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73728 |
| Euler totient φ(n) | 25200 |
| Square | 2136380841 |
| Cube | 98745658851861 |
| Square root | 214.990697 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6221 × |
46221 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and twenty-one |
| Binary (base 2) | 1011010010001101 |
| Octal (base 8) | 132215 |
| Hexadecimal (base 16) | B48D |
| Base 3 | 2100101220 |
| As time | 46221 seconds = 12 h 50 min 21 s |
Is 46221 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 (46221 ÷ 3 = 15407) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 (46221 ÷ 7 = 6603) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46221 a prime number?
No. 46221 = 3 × 7 × 31 × 71, so it is divisible by 3.
What are the factors of 46221?
1, 3, 7, 21, 31, 71, 93, 213, 217, 497, 651, 1491, 2201, 6603, 15407, 46221.
What is 46221 in binary?
1011010010001101 (hexadecimal B48D, octal 132215).
What is the square root of 46221?
About 214.9907.
Is 46221 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46221?
It is a composite number with 16 divisors.