The number 55664
55664 is a composite number with 30 divisors. Its prime factorisation is × × 71. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 71, 98, 112, 142, 196, 284 … 55664.
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How to work it out
- 1
55664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55664 is composite. Its prime factorisation is
- 3
The divisors add up to 127224; without 55664 itself that is 71560, so 55664 is abundant (71560 is more than 55664). Euler's totient φ(55664) = 23520 numbers up to 55664 share no factor with it.
- 4
The digits of 55664 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55664 = 2^{4} \times 7^{2} \times 71 \]55664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 127224 |
| Euler totient φ(n) | 23520 |
| Square | 3098480896 |
| Cube | 172473840594944 |
| Square root | 235.932194 (= 28√71) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5664 × |
55664 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and sixty-four |
| Binary (base 2) | 1101100101110000 |
| Octal (base 8) | 154560 |
| Hexadecimal (base 16) | D970 |
| Base 3 | 2211100122 |
| As time | 55664 seconds = 15 h 27 min 44 s |
Is 55664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55664 ÷ 2 = 27832) | 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 (55664 ÷ 4 = 13916) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (55664 ÷ 7 = 7952) | 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 (55664 ÷ 8 = 6958) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 55664 a prime number?
No. 55664 = × × 71, so it is divisible by 2.
What are the factors of 55664?
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 71, 98, 112, 142, 196, 284, 392, 497, 568, 784, 994, 1136, 1988, 3479, 3976, 6958, 7952, 13916, 27832, 55664.
What is 55664 in binary?
1101100101110000 (hexadecimal D970, octal 154560).
What is the square root of 55664?
About 235.9322, exactly 28√71.
Is 55664 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55664?
It is a composite number with 30 divisors.