The number 73470
73470 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 31 × 79. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 79, 93, 155, 158, 186, 237 … 73470.
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How to work it out
- 1
73470 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73470 is composite. Its prime factorisation is
- 3
The divisors add up to 184320; without 73470 itself that is 110850, so 73470 is abundant (110850 is more than 73470). Euler's totient φ(73470) = 18720 numbers up to 73470 share no factor with it.
- 4
The digits of 73470 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73470 = 2 \times 3 \times 5 \times 31 \times 79 \]
73470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 184320 |
| Euler totient φ(n) | 18720 |
| Square | 5397840900 |
| Cube | 396579370923000 |
| Square root | 271.053500 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.347 × |
73470 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and seventy |
| Binary (base 2) | 10001111011111110 |
| Octal (base 8) | 217376 |
| Hexadecimal (base 16) | 11EFE |
| Base 3 | 10201210010 |
| As time | 73470 seconds = 20 h 24 min 30 s |
Is 73470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73470 ÷ 2 = 36735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73470 ÷ 3 = 24490) | 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 (73470 ÷ 5 = 14694) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73470 ÷ 6 = 12245) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73470 ÷ 10 = 7347) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73470 a prime number?
No. 73470 = 2 × 3 × 5 × 31 × 79, so it is divisible by 2.
What are the factors of 73470?
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 79, 93, 155, 158, 186, 237, 310, 395, 465, 474, 790, 930, 1185, 2370, 2449, 4898, 7347, 12245, 14694, 24490, 36735, 73470.
What is 73470 in binary?
10001111011111110 (hexadecimal 11EFE, octal 217376).
What is the square root of 73470?
About 271.0535.
Is 73470 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73470?
It is a composite number with 32 divisors.