The number 73170
73170 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 271. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270 … 73170.
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How to work it out
- 1
What is special about 73170: a Harshad number: divisible by its digit sum 18.
- 2
73170 is composite. Its prime factorisation is
- 3
The divisors add up to 195840; without 73170 itself that is 122670, so 73170 is abundant (122670 is more than 73170). Euler's totient φ(73170) = 19440 numbers up to 73170 share no factor with it.
- 4
The digits of 73170 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
\[ 73170 = 2 \times 3^{3} \times 5 \times 271 \]73170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 195840 |
| Euler totient φ(n) | 19440 |
| Square | 5353848900 |
| Cube | 391741124013000 |
| Square root | 270.499538 (= 3√8130) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.317 × |
73170 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and seventy |
| Binary (base 2) | 10001110111010010 |
| Octal (base 8) | 216722 |
| Hexadecimal (base 16) | 11DD2 |
| Base 3 | 10201101000 |
| As time | 73170 seconds = 20 h 19 min 30 s |
Is 73170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73170 ÷ 2 = 36585) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73170 ÷ 3 = 24390) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73170 ÷ 5 = 14634) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73170 ÷ 6 = 12195) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73170 ÷ 9 = 8130) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73170 ÷ 10 = 7317) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73170 a prime number?
No. 73170 = 2 × × 5 × 271, so it is divisible by 2.
What are the factors of 73170?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 271, 542, 813, 1355, 1626, 2439, 2710, 4065, 4878, 7317, 8130, 12195, 14634, 24390, 36585, 73170.
What is 73170 in binary?
10001110111010010 (hexadecimal 11DD2, octal 216722).
What is the square root of 73170?
About 270.4995, exactly 3√8130.
Is 73170 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73170?
73170 is a Harshad number: divisible by its digit sum 18.