The number 47358
47358 is a composite number with 16 divisors. Its prime factorisation is 2 × × 877. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 877, 1754, 2631, 5262, 7893, 15786, 23679, 47358.
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How to work it out
- 1
What is special about 47358: a Harshad number: divisible by its digit sum 27.
- 2
47358 is composite. Its prime factorisation is
- 3
The divisors add up to 105360; without 47358 itself that is 58002, so 47358 is abundant (58002 is more than 47358). Euler's totient φ(47358) = 15768 numbers up to 47358 share no factor with it.
- 4
The digits of 47358 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47358 = 2 \times 3^{3} \times 877 \]47358 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105360 |
| Euler totient φ(n) | 15768 |
| Square | 2242780164 |
| Cube | 106213583006712 |
| Square root | 217.618933 (= 3√5262) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7358 × |
47358 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and fifty-eight |
| Binary (base 2) | 1011100011111110 |
| Octal (base 8) | 134376 |
| Hexadecimal (base 16) | B8FE |
| Base 3 | 2101222000 |
| As time | 47358 seconds = 13 h 9 min 18 s |
Is 47358 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47358 ÷ 2 = 23679) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47358 ÷ 3 = 15786) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47358 ÷ 6 = 7893) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47358 ÷ 9 = 5262) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47358 a prime number?
No. 47358 = 2 × × 877, so it is divisible by 2.
What are the factors of 47358?
1, 2, 3, 6, 9, 18, 27, 54, 877, 1754, 2631, 5262, 7893, 15786, 23679, 47358.
What is 47358 in binary?
1011100011111110 (hexadecimal B8FE, octal 134376).
What is the square root of 47358?
About 217.6189, exactly 3√5262.
Is 47358 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47358?
47358 is a Harshad number: divisible by its digit sum 27.