The number 7172
7172 is a composite number with 12 divisors. Its prime factorisation is × 11 × 163. Divisors (12): 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7172 is composite. Its prime factorisation is
- 3
The divisors add up to 13776; without 7172 itself that is 6604, so 7172 is deficient (6604 is less than 7172). Euler's totient φ(7172) = 3240 numbers up to 7172 share no factor with it.
- 4
The digits of 7172 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7172 = 2^{2} \times 11 \times 163 \]7172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13776 |
| Euler totient φ(n) | 3240 |
| Square | 51437584 |
| Cube | 368910352448 |
| Square root | 84.687661 (= 2√1793) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 7.172 × |
7172 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and seventy-two |
| Binary (base 2) | 1110000000100 |
| Octal (base 8) | 16004 |
| Hexadecimal (base 16) | 1C04 |
| Base 3 | 100211122 |
| As time | 7172 seconds = 1 h 59 min 32 s |
Is 7172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7172 ÷ 2 = 3586) | 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 (7172 ÷ 4 = 1793) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (7172 ÷ 11 = 652) | 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 7172 a prime number?
No. 7172 = × 11 × 163, so it is divisible by 2.
What are the factors of 7172?
1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172.
What is 7172 in binary?
1110000000100 (hexadecimal 1C04, octal 16004).
What is the square root of 7172?
About 84.6877, exactly 2√1793.
Is 7172 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7172?
7172 is a happy number: repeatedly adding the squares of its digits reaches 1.