The number 5072
5072 is a composite number with 10 divisors. Its prime factorisation is × 317. Divisors (10): 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5072 is composite. Its prime factorisation is
- 3
The divisors add up to 9858; without 5072 itself that is 4786, so 5072 is deficient (4786 is less than 5072). Euler's totient φ(5072) = 2528 numbers up to 5072 share no factor with it.
- 4
The digits of 5072 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5072 = 2^{4} \times 317 \]5072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 9858 |
| Euler totient φ(n) | 2528 |
| Square | 25725184 |
| Cube | 130478133248 |
| Square root | 71.217975 (= 4√317) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.072 × |
5072 in other forms
| Form | Value |
|---|---|
| In words | five thousand and seventy-two |
| Binary (base 2) | 1001111010000 |
| Octal (base 8) | 11720 |
| Hexadecimal (base 16) | 13D0 |
| Base 3 | 20221212 |
| As time | 5072 seconds = 1 h 24 min 32 s |
Is 5072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5072 ÷ 2 = 2536) | 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 (5072 ÷ 4 = 1268) | 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 4) | 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 (5072 ÷ 8 = 634) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5072 a prime number?
No. 5072 = × 317, so it is divisible by 2.
What are the factors of 5072?
1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072.
What is 5072 in binary?
1001111010000 (hexadecimal 13D0, octal 11720).
What is the square root of 5072?
About 71.2180, exactly 4√317.
Is 5072 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5072?
It is a composite number with 10 divisors.