The number 46224
46224 is a composite number with 40 divisors. Its prime factorisation is × × 107. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72 … 46224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46224: a Harshad number: divisible by its digit sum 18.
- 2
46224 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 46224 itself that is 87696, so 46224 is abundant (87696 is more than 46224). Euler's totient φ(46224) = 15264 numbers up to 46224 share no factor with it.
- 4
The digits of 46224 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46224 = 2^{4} \times 3^{3} \times 107 \]46224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 15264 |
| Square | 2136658176 |
| Cube | 98764887527424 |
| Square root | 214.997674 (= 12√321) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6224 × |
46224 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and twenty-four |
| Binary (base 2) | 1011010010010000 |
| Octal (base 8) | 132220 |
| Hexadecimal (base 16) | B490 |
| Base 3 | 2100102000 |
| As time | 46224 seconds = 12 h 50 min 24 s |
Is 46224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46224 ÷ 2 = 23112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46224 ÷ 3 = 15408) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46224 ÷ 4 = 11556) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46224 ÷ 6 = 7704) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (46224 ÷ 8 = 5778) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46224 ÷ 9 = 5136) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46224 ÷ 12 = 3852) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46224 a prime number?
No. 46224 = × × 107, so it is divisible by 2.
What are the factors of 46224?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 107, 108, 144, 214, 216, 321, 428, 432, 642, 856, 963, 1284, 1712, 1926, 2568, 2889, 3852, 5136, 5778, 7704, 11556, 15408, 23112, 46224.
What is 46224 in binary?
1011010010010000 (hexadecimal B490, octal 132220).
What is the square root of 46224?
About 214.9977, exactly 12√321.
Is 46224 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46224?
46224 is a Harshad number: divisible by its digit sum 18.