The number 5572
5572 is a composite number with 12 divisors. Its prime factorisation is × 7 × 199. Divisors (12): 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5572 is composite. Its prime factorisation is
- 3
The divisors add up to 11200; without 5572 itself that is 5628, so 5572 is abundant (5628 is more than 5572). Euler's totient φ(5572) = 2376 numbers up to 5572 share no factor with it.
- 4
The digits of 5572 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5572 = 2^{2} \times 7 \times 199 \]5572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11200 |
| Euler totient φ(n) | 2376 |
| Square | 31047184 |
| Cube | 172994909248 |
| Square root | 74.645830 (= 2√1393) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.572 × |
5572 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and seventy-two |
| Binary (base 2) | 1010111000100 |
| Octal (base 8) | 12704 |
| Hexadecimal (base 16) | 15C4 |
| Base 3 | 21122101 |
| As time | 5572 seconds = 1 h 32 min 52 s |
Is 5572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5572 ÷ 2 = 2786) | 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 (5572 ÷ 4 = 1393) | 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 | Yes (5572 ÷ 7 = 796) | 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 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 5572 a prime number?
No. 5572 = × 7 × 199, so it is divisible by 2.
What are the factors of 5572?
1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572.
What is 5572 in binary?
1010111000100 (hexadecimal 15C4, octal 12704).
What is the square root of 5572?
About 74.6458, exactly 2√1393.
Is 5572 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5572?
5572 is a happy number: repeatedly adding the squares of its digits reaches 1.