The number 55278
55278 is a triangular number: 1 + 2 + … + 332 = 55278. Its prime factorisation is 2 × × 37 × 83. Divisors (24): 1, 2, 3, 6, 9, 18, 37, 74, 83, 111, 166, 222, 249, 333, 498, 666 … 55278.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55278: a triangular number: 1 + 2 + … + 332 = 55278; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55278 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 55278 itself that is 69210, so 55278 is abundant (69210 is more than 55278). Euler's totient φ(55278) = 17712 numbers up to 55278 share no factor with it.
- 4
The digits of 55278 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55278 = 2 \times 3^{2} \times 37 \times 83 \]55278 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 17712 |
| Square | 3055657284 |
| Cube | 168910623344952 |
| Square root | 235.112739 (= 3√6142) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.5278 × |
55278 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and seventy-eight |
| Binary (base 2) | 1101011111101110 |
| Octal (base 8) | 153756 |
| Hexadecimal (base 16) | D7EE |
| Base 3 | 2210211100 |
| As time | 55278 seconds = 15 h 21 min 18 s |
Is 55278 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55278 ÷ 2 = 27639) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55278 ÷ 3 = 18426) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55278 ÷ 6 = 9213) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55278 ÷ 9 = 6142) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55278 a prime number?
No. 55278 = 2 × × 37 × 83, so it is divisible by 2.
What are the factors of 55278?
1, 2, 3, 6, 9, 18, 37, 74, 83, 111, 166, 222, 249, 333, 498, 666, 747, 1494, 3071, 6142, 9213, 18426, 27639, 55278.
What is 55278 in binary?
1101011111101110 (hexadecimal D7EE, octal 153756).
What is the square root of 55278?
About 235.1127, exactly 3√6142.
Is 55278 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55278?
55278 is a triangular number: 1 + 2 + … + 332 = 55278; a happy number: repeatedly adding the squares of its digits reaches 1.