The number 7072
7072 is a composite number with 24 divisors. Its prime factorisation is × 13 × 17. Divisors (24): 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221 … 7072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7072: a Harshad number: divisible by its digit sum 16.
- 2
7072 is composite. Its prime factorisation is
- 3
The divisors add up to 15876; without 7072 itself that is 8804, so 7072 is abundant (8804 is more than 7072). Euler's totient φ(7072) = 3072 numbers up to 7072 share no factor with it.
- 4
The digits of 7072 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7072 = 2^{5} \times 13 \times 17 \]7072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 15876 |
| Euler totient φ(n) | 3072 |
| Square | 50013184 |
| Cube | 353693237248 |
| Square root | 84.095184 (= 4√442) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 7.072 × |
7072 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and seventy-two |
| Binary (base 2) | 1101110100000 |
| Octal (base 8) | 15640 |
| Hexadecimal (base 16) | 1BA0 |
| Base 3 | 100200221 |
| As time | 7072 seconds = 1 h 57 min 52 s |
Is 7072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7072 ÷ 2 = 3536) | 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 (7072 ÷ 4 = 1768) | 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 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 (7072 ÷ 8 = 884) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 7072 a prime number?
No. 7072 = × 13 × 17, so it is divisible by 2.
What are the factors of 7072?
1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072.
What is 7072 in binary?
1101110100000 (hexadecimal 1BA0, octal 15640).
What is the square root of 7072?
About 84.0952, exactly 4√442.
Is 7072 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7072?
7072 is a Harshad number: divisible by its digit sum 16.