The number 65552
65552 is a composite number with 20 divisors. Its prime factorisation is × 17 × 241. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 241, 272, 482, 964, 1928, 3856, 4097 … 65552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65552 is composite. Its prime factorisation is
- 3
The divisors add up to 135036; without 65552 itself that is 69484, so 65552 is abundant (69484 is more than 65552). Euler's totient φ(65552) = 30720 numbers up to 65552 share no factor with it.
- 4
The digits of 65552 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65552 = 2^{4} \times 17 \times 241 \]65552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 135036 |
| Euler totient φ(n) | 30720 |
| Square | 4297064704 |
| Cube | 281681185476608 |
| Square root | 256.031248 (= 4√4097) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.5552 × |
65552 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand five hundred and fifty-two |
| Binary (base 2) | 10000000000010000 |
| Octal (base 8) | 200020 |
| Hexadecimal (base 16) | 10010 |
| Base 3 | 10022220212 |
| As time | 65552 seconds = 18 h 12 min 32 s |
Is 65552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65552 ÷ 2 = 32776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (65552 ÷ 4 = 16388) | 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 | No (remainder 2) | 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 (65552 ÷ 8 = 8194) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65552 a prime number?
No. 65552 = × 17 × 241, so it is divisible by 2.
What are the factors of 65552?
1, 2, 4, 8, 16, 17, 34, 68, 136, 241, 272, 482, 964, 1928, 3856, 4097, 8194, 16388, 32776, 65552.
What is 65552 in binary?
10000000000010000 (hexadecimal 10010, octal 200020).
What is the square root of 65552?
About 256.0312, exactly 4√4097.
Is 65552 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 65552?
It is a composite number with 20 divisors.