The number 80172
80172 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 131. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 131, 153 … 80172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80172: a Harshad number: divisible by its digit sum 18.
- 2
80172 is composite. Its prime factorisation is
- 3
The divisors add up to 216216; without 80172 itself that is 136044, so 80172 is abundant (136044 is more than 80172). Euler's totient φ(80172) = 24960 numbers up to 80172 share no factor with it.
- 4
The digits of 80172 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80172 = 2^{2} \times 3^{2} \times 17 \times 131 \]80172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 216216 |
| Euler totient φ(n) | 24960 |
| Square | 6427549584 |
| Cube | 515309505248448 |
| Square root | 283.146605 (= 6√2227) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0172 × |
80172 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and seventy-two |
| Binary (base 2) | 10011100100101100 |
| Octal (base 8) | 234454 |
| Hexadecimal (base 16) | 1392C |
| Base 3 | 11001222100 |
| As time | 80172 seconds = 22 h 16 min 12 s |
Is 80172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80172 ÷ 2 = 40086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80172 ÷ 3 = 26724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80172 ÷ 4 = 20043) | 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 | Yes (80172 ÷ 6 = 13362) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (80172 ÷ 9 = 8908) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80172 ÷ 12 = 6681) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80172 a prime number?
No. 80172 = × × 17 × 131, so it is divisible by 2.
What are the factors of 80172?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 131, 153, 204, 262, 306, 393, 524, 612, 786, 1179, 1572, 2227, 2358, 4454, 4716, 6681, 8908, 13362, 20043, 26724, 40086, 80172.
What is 80172 in binary?
10011100100101100 (hexadecimal 1392C, octal 234454).
What is the square root of 80172?
About 283.1466, exactly 6√2227.
Is 80172 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80172?
80172 is a Harshad number: divisible by its digit sum 18.