The number 46272
46272 is a composite number with 28 divisors. Its prime factorisation is × 3 × 241. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 241, 482 … 46272.
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How to work it out
- 1
What is special about 46272: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46272 is composite. Its prime factorisation is
- 3
The divisors add up to 122936; without 46272 itself that is 76664, so 46272 is abundant (76664 is more than 46272). Euler's totient φ(46272) = 15360 numbers up to 46272 share no factor with it.
- 4
The digits of 46272 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46272 = 2^{6} \times 3 \times 241 \]46272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 122936 |
| Euler totient φ(n) | 15360 |
| Square | 2141097984 |
| Cube | 99072885915648 |
| Square root | 215.109275 (= 8√723) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6272 × |
46272 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and seventy-two |
| Binary (base 2) | 1011010011000000 |
| Octal (base 8) | 132300 |
| Hexadecimal (base 16) | B4C0 |
| Base 3 | 2100110210 |
| As time | 46272 seconds = 12 h 51 min 12 s |
Is 46272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46272 ÷ 2 = 23136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46272 ÷ 3 = 15424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46272 ÷ 4 = 11568) | 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 (46272 ÷ 6 = 7712) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (46272 ÷ 8 = 5784) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46272 ÷ 12 = 3856) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46272 a prime number?
No. 46272 = × 3 × 241, so it is divisible by 2.
What are the factors of 46272?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 241, 482, 723, 964, 1446, 1928, 2892, 3856, 5784, 7712, 11568, 15424, 23136, 46272.
What is 46272 in binary?
1011010011000000 (hexadecimal B4C0, octal 132300).
What is the square root of 46272?
About 215.1093, exactly 8√723.
Is 46272 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46272?
46272 is a happy number: repeatedly adding the squares of its digits reaches 1.