The number 47472
47472 is a composite number with 40 divisors. Its prime factorisation is × 3 × 23 × 43. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 43, 46, 48, 69, 86, 92 … 47472.
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How to work it out
- 1
What is special about 47472: a Harshad number: divisible by its digit sum 24.
- 2
47472 is composite. Its prime factorisation is
- 3
The divisors add up to 130944; without 47472 itself that is 83472, so 47472 is abundant (83472 is more than 47472). Euler's totient φ(47472) = 14784 numbers up to 47472 share no factor with it.
- 4
The digits of 47472 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47472 = 2^{4} \times 3 \times 23 \times 43 \]47472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 130944 |
| Euler totient φ(n) | 14784 |
| Square | 2253590784 |
| Cube | 106982461698048 |
| Square root | 217.880701 (= 4√2967) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7472 × |
47472 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and seventy-two |
| Binary (base 2) | 1011100101110000 |
| Octal (base 8) | 134560 |
| Hexadecimal (base 16) | B970 |
| Base 3 | 2102010020 |
| As time | 47472 seconds = 13 h 11 min 12 s |
Is 47472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47472 ÷ 2 = 23736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47472 ÷ 3 = 15824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47472 ÷ 4 = 11868) | 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 (47472 ÷ 6 = 7912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (47472 ÷ 8 = 5934) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47472 ÷ 12 = 3956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47472 a prime number?
No. 47472 = × 3 × 23 × 43, so it is divisible by 2.
What are the factors of 47472?
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 43, 46, 48, 69, 86, 92, 129, 138, 172, 184, 258, 276, 344, 368, 516, 552, 688, 989, 1032, 1104, 1978, 2064, 2967, 3956, 5934, 7912, 11868, 15824, 23736, 47472.
What is 47472 in binary?
1011100101110000 (hexadecimal B970, octal 134560).
What is the square root of 47472?
About 217.8807, exactly 4√2967.
Is 47472 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47472?
47472 is a Harshad number: divisible by its digit sum 24.