The number 47352
47352 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1973. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 47352.
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How to work it out
- 1
What is special about 47352: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47352 is composite. Its prime factorisation is
- 3
The divisors add up to 118440; without 47352 itself that is 71088, so 47352 is abundant (71088 is more than 47352). Euler's totient φ(47352) = 15776 numbers up to 47352 share no factor with it.
- 4
The digits of 47352 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47352 = 2^{3} \times 3 \times 1973 \]47352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118440 |
| Euler totient φ(n) | 15776 |
| Square | 2242211904 |
| Cube | 106173218078208 |
| Square root | 217.605147 (= 2√11838) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7352 × |
47352 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and fifty-two |
| Binary (base 2) | 1011100011111000 |
| Octal (base 8) | 134370 |
| Hexadecimal (base 16) | B8F8 |
| Base 3 | 2101221210 |
| As time | 47352 seconds = 13 h 9 min 12 s |
Is 47352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47352 ÷ 2 = 23676) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47352 ÷ 3 = 15784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47352 ÷ 4 = 11838) | 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 (47352 ÷ 6 = 7892) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (47352 ÷ 8 = 5919) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47352 ÷ 12 = 3946) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47352 a prime number?
No. 47352 = × 3 × 1973, so it is divisible by 2.
What are the factors of 47352?
1, 2, 3, 4, 6, 8, 12, 24, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 47352.
What is 47352 in binary?
1011100011111000 (hexadecimal B8F8, octal 134370).
What is the square root of 47352?
About 217.6051, exactly 2√11838.
Is 47352 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47352?
47352 is a happy number: repeatedly adding the squares of its digits reaches 1.