The number 55072
55072 is a composite number with 12 divisors. Its prime factorisation is × 1721. Divisors (12): 1, 2, 4, 8, 16, 32, 1721, 3442, 6884, 13768, 27536, 55072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55072 is composite. Its prime factorisation is
- 3
The divisors add up to 108486; without 55072 itself that is 53414, so 55072 is deficient (53414 is less than 55072). Euler's totient φ(55072) = 27520 numbers up to 55072 share no factor with it.
- 4
The digits of 55072 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55072 = 2^{5} \times 1721 \]55072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108486 |
| Euler totient φ(n) | 27520 |
| Square | 3032925184 |
| Cube | 167029255733248 |
| Square root | 234.674242 (= 4√3442) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5072 × |
55072 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and seventy-two |
| Binary (base 2) | 1101011100100000 |
| Octal (base 8) | 153440 |
| Hexadecimal (base 16) | D720 |
| Base 3 | 2210112201 |
| As time | 55072 seconds = 15 h 17 min 52 s |
Is 55072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55072 ÷ 2 = 27536) | 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 (55072 ÷ 4 = 13768) | 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 3) | 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 (55072 ÷ 8 = 6884) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 55072 a prime number?
No. 55072 = × 1721, so it is divisible by 2.
What are the factors of 55072?
1, 2, 4, 8, 16, 32, 1721, 3442, 6884, 13768, 27536, 55072.
What is 55072 in binary?
1101011100100000 (hexadecimal D720, octal 153440).
What is the square root of 55072?
About 234.6742, exactly 4√3442.
Is 55072 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55072?
55072 is a happy number: repeatedly adding the squares of its digits reaches 1.