The number 9558
9558 is a composite number with 20 divisors. Its prime factorisation is 2 × × 59. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062 … 9558.
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How to work it out
- 1
What is special about 9558: a Harshad number: divisible by its digit sum 27.
- 2
9558 is composite. Its prime factorisation is
- 3
The divisors add up to 21780; without 9558 itself that is 12222, so 9558 is abundant (12222 is more than 9558). Euler's totient φ(9558) = 3132 numbers up to 9558 share no factor with it.
- 4
The digits of 9558 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9558 = 2 \times 3^{4} \times 59 \]9558 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 21780 |
| Euler totient φ(n) | 3132 |
| Square | 91355364 |
| Cube | 873174569112 |
| Square root | 97.765024 (= 9√118) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 9.558 × |
9558 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and fifty-eight |
| Binary (base 2) | 10010101010110 |
| Octal (base 8) | 22526 |
| Hexadecimal (base 16) | 2556 |
| Base 3 | 111010000 |
| As time | 9558 seconds = 2 h 39 min 18 s |
Is 9558 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9558 ÷ 2 = 4779) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9558 ÷ 3 = 3186) | 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 (9558 ÷ 6 = 1593) | 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 (9558 ÷ 9 = 1062) | 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 10) | 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 9558 a prime number?
No. 9558 = 2 × × 59, so it is divisible by 2.
What are the factors of 9558?
1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558.
What is 9558 in binary?
10010101010110 (hexadecimal 2556, octal 22526).
What is the square root of 9558?
About 97.7650, exactly 9√118.
Is 9558 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9558?
9558 is a Harshad number: divisible by its digit sum 27.