The number 55614
55614 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 23 × 31. Divisors (32): 1, 2, 3, 6, 13, 23, 26, 31, 39, 46, 62, 69, 78, 93, 138, 186 … 55614.
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How to work it out
- 1
What is special about 55614: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55614 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 55614 itself that is 73410, so 55614 is abundant (73410 is more than 55614). Euler's totient φ(55614) = 15840 numbers up to 55614 share no factor with it.
- 4
The digits of 55614 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 259 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55614 = 2 \times 3 \times 13 \times 23 \times 31 \]
55614 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 15840 |
| Square | 3092916996 |
| Cube | 172009485815544 |
| Square root | 235.826207 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 259 |
| Scientific notation | 5.5614 × |
55614 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and fourteen |
| Binary (base 2) | 1101100100111110 |
| Octal (base 8) | 154476 |
| Hexadecimal (base 16) | D93E |
| Base 3 | 2211021210 |
| As time | 55614 seconds = 15 h 26 min 54 s |
Is 55614 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55614 ÷ 2 = 27807) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55614 ÷ 3 = 18538) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55614 ÷ 6 = 9269) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 55614 a prime number?
No. 55614 = 2 × 3 × 13 × 23 × 31, so it is divisible by 2.
What are the factors of 55614?
1, 2, 3, 6, 13, 23, 26, 31, 39, 46, 62, 69, 78, 93, 138, 186, 299, 403, 598, 713, 806, 897, 1209, 1426, 1794, 2139, 2418, 4278, 9269, 18538, 27807, 55614.
What is 55614 in binary?
1101100100111110 (hexadecimal D93E, octal 154476).
What is the square root of 55614?
About 235.8262.
Is 55614 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55614?
55614 is a happy number: repeatedly adding the squares of its digits reaches 1.