The number 55552
55552 is a composite number with 36 divisors. Its prime factorisation is × 7 × 31. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128 … 55552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55552 is composite. Its prime factorisation is
- 3
The divisors add up to 130816; without 55552 itself that is 75264, so 55552 is abundant (75264 is more than 55552). Euler's totient φ(55552) = 23040 numbers up to 55552 share no factor with it.
- 4
The digits of 55552 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55552 = 2^{8} \times 7 \times 31 \]55552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 130816 |
| Euler totient φ(n) | 23040 |
| Square | 3086024704 |
| Cube | 171434844356608 |
| Square root | 235.694718 (= 16√217) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5552 × |
55552 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and fifty-two |
| Binary (base 2) | 1101100100000000 |
| Octal (base 8) | 154400 |
| Hexadecimal (base 16) | D900 |
| Base 3 | 2211012111 |
| As time | 55552 seconds = 15 h 25 min 52 s |
Is 55552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55552 ÷ 2 = 27776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55552 ÷ 4 = 13888) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55552 ÷ 7 = 7936) | 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 (55552 ÷ 8 = 6944) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55552 a prime number?
No. 55552 = × 7 × 31, so it is divisible by 2.
What are the factors of 55552?
1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128, 217, 224, 248, 256, 434, 448, 496, 868, 896, 992, 1736, 1792, 1984, 3472, 3968, 6944, 7936, 13888, 27776, 55552.
What is 55552 in binary?
1101100100000000 (hexadecimal D900, octal 154400).
What is the square root of 55552?
About 235.6947, exactly 16√217.
Is 55552 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55552?
It is a composite number with 36 divisors.