The number 55672
55672 is a composite number with 8 divisors. Its prime factorisation is × 6959. Divisors (8): 1, 2, 4, 8, 6959, 13918, 27836, 55672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55672 is composite. Its prime factorisation is
- 3
The divisors add up to 104400; without 55672 itself that is 48728, so 55672 is deficient (48728 is less than 55672). Euler's totient φ(55672) = 27832 numbers up to 55672 share no factor with it.
- 4
The digits of 55672 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55672 = 2^{3} \times 6959 \]55672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104400 |
| Euler totient φ(n) | 27832 |
| Square | 3099371584 |
| Cube | 172548214824448 |
| Square root | 235.949147 (= 2√13918) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5672 × |
55672 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and seventy-two |
| Binary (base 2) | 1101100101111000 |
| Octal (base 8) | 154570 |
| Hexadecimal (base 16) | D978 |
| Base 3 | 2211100221 |
| As time | 55672 seconds = 15 h 27 min 52 s |
Is 55672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55672 ÷ 2 = 27836) | 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 (55672 ÷ 4 = 13918) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 1) | 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 (55672 ÷ 8 = 6959) | 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 2) | 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 55672 a prime number?
No. 55672 = × 6959, so it is divisible by 2.
What are the factors of 55672?
1, 2, 4, 8, 6959, 13918, 27836, 55672.
What is 55672 in binary?
1101100101111000 (hexadecimal D978, octal 154570).
What is the square root of 55672?
About 235.9491, exactly 2√13918.
Is 55672 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55672?
55672 is a happy number: repeatedly adding the squares of its digits reaches 1.