The number 55276
55276 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1063. Divisors (12): 1, 2, 4, 13, 26, 52, 1063, 2126, 4252, 13819, 27638, 55276.
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How to work it out
- 1
What is special about 55276: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55276 is composite. Its prime factorisation is
- 3
The divisors add up to 104272; without 55276 itself that is 48996, so 55276 is deficient (48996 is less than 55276). Euler's totient φ(55276) = 25488 numbers up to 55276 share no factor with it.
- 4
The digits of 55276 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55276 = 2^{2} \times 13 \times 1063 \]55276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104272 |
| Euler totient φ(n) | 25488 |
| Square | 3055436176 |
| Cube | 168892290064576 |
| Square root | 235.108486 (= 2√13819) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.5276 × |
55276 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and seventy-six |
| Binary (base 2) | 1101011111101100 |
| Octal (base 8) | 153754 |
| Hexadecimal (base 16) | D7EC |
| Base 3 | 2210211021 |
| As time | 55276 seconds = 15 h 21 min 16 s |
Is 55276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55276 ÷ 2 = 27638) | 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 (55276 ÷ 4 = 13819) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 55276 a prime number?
No. 55276 = × 13 × 1063, so it is divisible by 2.
What are the factors of 55276?
1, 2, 4, 13, 26, 52, 1063, 2126, 4252, 13819, 27638, 55276.
What is 55276 in binary?
1101011111101100 (hexadecimal D7EC, octal 153754).
What is the square root of 55276?
About 235.1085, exactly 2√13819.
Is 55276 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55276?
55276 is a happy number: repeatedly adding the squares of its digits reaches 1.