The number 96552
96552 is a composite number with 40 divisors. Its prime factorisation is × × 149. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108 … 96552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96552: a Harshad number: divisible by its digit sum 27.
- 2
96552 is composite. Its prime factorisation is
- 3
The divisors add up to 272250; without 96552 itself that is 175698, so 96552 is abundant (175698 is more than 96552). Euler's totient φ(96552) = 31968 numbers up to 96552 share no factor with it.
- 4
The digits of 96552 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96552 = 2^{3} \times 3^{4} \times 149 \]96552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 272250 |
| Euler totient φ(n) | 31968 |
| Square | 9322288704 |
| Cube | 900085618948608 |
| Square root | 310.728177 (= 18√298) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 9.6552 × |
96552 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand five hundred and fifty-two |
| Binary (base 2) | 10111100100101000 |
| Octal (base 8) | 274450 |
| Hexadecimal (base 16) | 17928 |
| Base 3 | 11220110000 |
| As time | 96552 seconds = 26 h 49 min 12 s |
Is 96552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96552 ÷ 2 = 48276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96552 ÷ 3 = 32184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96552 ÷ 4 = 24138) | 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 (96552 ÷ 6 = 16092) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (96552 ÷ 8 = 12069) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (96552 ÷ 9 = 10728) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96552 ÷ 12 = 8046) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96552 a prime number?
No. 96552 = × × 149, so it is divisible by 2.
What are the factors of 96552?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 149, 162, 216, 298, 324, 447, 596, 648, 894, 1192, 1341, 1788, 2682, 3576, 4023, 5364, 8046, 10728, 12069, 16092, 24138, 32184, 48276, 96552.
What is 96552 in binary?
10111100100101000 (hexadecimal 17928, octal 274450).
What is the square root of 96552?
About 310.7282, exactly 18√298.
Is 96552 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 96552?
96552 is a Harshad number: divisible by its digit sum 27.