The number 55146
55146 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 13 × 101. Divisors (32): 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 101, 182, 202 … 55146.
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How to work it out
- 1
What is special about 55146: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
55146 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 55146 itself that is 81942, so 55146 is abundant (81942 is more than 55146). Euler's totient φ(55146) = 14400 numbers up to 55146 share no factor with it.
- 4
The digits of 55146 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55146 = 2 \times 3 \times 7 \times 13 \times 101 \]
55146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 14400 |
| Square | 3041081316 |
| Cube | 167703470252136 |
| Square root | 234.831855 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5146 × |
55146 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and forty-six |
| Binary (base 2) | 1101011101101010 |
| Octal (base 8) | 153552 |
| Hexadecimal (base 16) | D76A |
| Base 3 | 2210122110 |
| As time | 55146 seconds = 15 h 19 min 6 s |
Is 55146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55146 ÷ 2 = 27573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55146 ÷ 3 = 18382) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55146 ÷ 6 = 9191) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55146 ÷ 7 = 7878) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 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 55146 a prime number?
No. 55146 = 2 × 3 × 7 × 13 × 101, so it is divisible by 2.
What are the factors of 55146?
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 101, 182, 202, 273, 303, 546, 606, 707, 1313, 1414, 2121, 2626, 3939, 4242, 7878, 9191, 18382, 27573, 55146.
What is 55146 in binary?
1101011101101010 (hexadecimal D76A, octal 153552).
What is the square root of 55146?
About 234.8319.
Is 55146 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55146?
55146 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.