The number 55896
55896 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 137. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 137, 204 … 55896.
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How to work it out
- 1
55896 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55896 is composite. Its prime factorisation is
- 3
The divisors add up to 149040; without 55896 itself that is 93144, so 55896 is abundant (93144 is more than 55896). Euler's totient φ(55896) = 17408 numbers up to 55896 share no factor with it.
- 4
The digits of 55896 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55896 = 2^{3} \times 3 \times 17 \times 137 \]55896 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 149040 |
| Euler totient φ(n) | 17408 |
| Square | 3124362816 |
| Cube | 174639383963136 |
| Square root | 236.423349 (= 2√13974) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5896 × |
55896 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and ninety-six |
| Binary (base 2) | 1101101001011000 |
| Octal (base 8) | 155130 |
| Hexadecimal (base 16) | DA58 |
| Base 3 | 2211200020 |
| As time | 55896 seconds = 15 h 31 min 36 s |
Is 55896 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55896 ÷ 2 = 27948) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55896 ÷ 3 = 18632) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55896 ÷ 4 = 13974) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55896 ÷ 6 = 9316) | 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 (55896 ÷ 8 = 6987) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (55896 ÷ 12 = 4658) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55896 a prime number?
No. 55896 = × 3 × 17 × 137, so it is divisible by 2.
What are the factors of 55896?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 137, 204, 274, 408, 411, 548, 822, 1096, 1644, 2329, 3288, 4658, 6987, 9316, 13974, 18632, 27948, 55896.
What is 55896 in binary?
1101101001011000 (hexadecimal DA58, octal 155130).
What is the square root of 55896?
About 236.4233, exactly 2√13974.
Is 55896 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 55896?
It is a composite number with 32 divisors.