The number 55572
55572 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 421. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 421, 842, 1263, 1684 … 55572.
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How to work it out
- 1
55572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55572 is composite. Its prime factorisation is
- 3
The divisors add up to 141792; without 55572 itself that is 86220, so 55572 is abundant (86220 is more than 55572). Euler's totient φ(55572) = 16800 numbers up to 55572 share no factor with it.
- 4
The digits of 55572 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55572 = 2^{2} \times 3 \times 11 \times 421 \]55572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141792 |
| Euler totient φ(n) | 16800 |
| Square | 3088247184 |
| Cube | 171620072509248 |
| Square root | 235.737142 (= 2√13893) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5572 × |
55572 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and seventy-two |
| Binary (base 2) | 1101100100010100 |
| Octal (base 8) | 154424 |
| Hexadecimal (base 16) | D914 |
| Base 3 | 2211020020 |
| As time | 55572 seconds = 15 h 26 min 12 s |
Is 55572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55572 ÷ 2 = 27786) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55572 ÷ 3 = 18524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55572 ÷ 4 = 13893) | 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 | Yes (55572 ÷ 6 = 9262) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (55572 ÷ 11 = 5052) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55572 ÷ 12 = 4631) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55572 a prime number?
No. 55572 = × 3 × 11 × 421, so it is divisible by 2.
What are the factors of 55572?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 421, 842, 1263, 1684, 2526, 4631, 5052, 9262, 13893, 18524, 27786, 55572.
What is 55572 in binary?
1101100100010100 (hexadecimal D914, octal 154424).
What is the square root of 55572?
About 235.7371, exactly 2√13893.
Is 55572 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55572?
It is a composite number with 24 divisors.