The number 55216
55216 is a composite number with 40 divisors. Its prime factorisation is × 7 × 17 × 29. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 17, 28, 29, 34, 56, 58, 68, 112, 116 … 55216.
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How to work it out
- 1
What is special about 55216: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55216 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 55216 itself that is 78704, so 55216 is abundant (78704 is more than 55216). Euler's totient φ(55216) = 21504 numbers up to 55216 share no factor with it.
- 4
The digits of 55216 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55216 = 2^{4} \times 7 \times 17 \times 29 \]55216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 21504 |
| Square | 3048806656 |
| Cube | 168342908317696 |
| Square root | 234.980850 (= 4√3451) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5216 × |
55216 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and sixteen |
| Binary (base 2) | 1101011110110000 |
| Octal (base 8) | 153660 |
| Hexadecimal (base 16) | D7B0 |
| Base 3 | 2210202001 |
| As time | 55216 seconds = 15 h 20 min 16 s |
Is 55216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55216 ÷ 2 = 27608) | 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 (55216 ÷ 4 = 13804) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55216 ÷ 7 = 7888) | 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 (55216 ÷ 8 = 6902) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 55216 a prime number?
No. 55216 = × 7 × 17 × 29, so it is divisible by 2.
What are the factors of 55216?
1, 2, 4, 7, 8, 14, 16, 17, 28, 29, 34, 56, 58, 68, 112, 116, 119, 136, 203, 232, 238, 272, 406, 464, 476, 493, 812, 952, 986, 1624, 1904, 1972, 3248, 3451, 3944, 6902, 7888, 13804, 27608, 55216.
What is 55216 in binary?
1101011110110000 (hexadecimal D7B0, octal 153660).
What is the square root of 55216?
About 234.9809, exactly 4√3451.
Is 55216 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55216?
55216 is a happy number: repeatedly adding the squares of its digits reaches 1.