The number 5672
5672 is a composite number with 8 divisors. Its prime factorisation is × 709. Divisors (8): 1, 2, 4, 8, 709, 1418, 2836, 5672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5672 is composite. Its prime factorisation is
- 3
The divisors add up to 10650; without 5672 itself that is 4978, so 5672 is deficient (4978 is less than 5672). Euler's totient φ(5672) = 2832 numbers up to 5672 share no factor with it.
- 4
The digits of 5672 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5672 = 2^{3} \times 709 \]5672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10650 |
| Euler totient φ(n) | 2832 |
| Square | 32171584 |
| Cube | 182477224448 |
| Square root | 75.312682 (= 2√1418) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.672 × |
5672 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and seventy-two |
| Binary (base 2) | 1011000101000 |
| Octal (base 8) | 13050 |
| Hexadecimal (base 16) | 1628 |
| Base 3 | 21210002 |
| As time | 5672 seconds = 1 h 34 min 32 s |
Is 5672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5672 ÷ 2 = 2836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5672 ÷ 4 = 1418) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (5672 ÷ 8 = 709) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5672 a prime number?
No. 5672 = × 709, so it is divisible by 2.
What are the factors of 5672?
1, 2, 4, 8, 709, 1418, 2836, 5672.
What is 5672 in binary?
1011000101000 (hexadecimal 1628, octal 13050).
What is the square root of 5672?
About 75.3127, exactly 2√1418.
Is 5672 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5672?
It is a composite number with 8 divisors.