The number 73014
73014 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 283. Divisors (16): 1, 2, 3, 6, 43, 86, 129, 258, 283, 566, 849, 1698, 12169, 24338, 36507, 73014.
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How to work it out
- 1
73014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73014 is composite. Its prime factorisation is
- 3
The divisors add up to 149952; without 73014 itself that is 76938, so 73014 is abundant (76938 is more than 73014). Euler's totient φ(73014) = 23688 numbers up to 73014 share no factor with it.
- 4
The digits of 73014 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73014 = 2 \times 3 \times 43 \times 283 \]
73014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149952 |
| Euler totient φ(n) | 23688 |
| Square | 5331044196 |
| Cube | 389240860926744 |
| Square root | 270.211029 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.3014 × |
73014 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and fourteen |
| Binary (base 2) | 10001110100110110 |
| Octal (base 8) | 216466 |
| Hexadecimal (base 16) | 11D36 |
| Base 3 | 10201011020 |
| As time | 73014 seconds = 20 h 16 min 54 s |
Is 73014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73014 ÷ 2 = 36507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73014 ÷ 3 = 24338) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73014 ÷ 6 = 12169) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 73014 a prime number?
No. 73014 = 2 × 3 × 43 × 283, so it is divisible by 2.
What are the factors of 73014?
1, 2, 3, 6, 43, 86, 129, 258, 283, 566, 849, 1698, 12169, 24338, 36507, 73014.
What is 73014 in binary?
10001110100110110 (hexadecimal 11D36, octal 216466).
What is the square root of 73014?
About 270.2110.
Is 73014 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73014?
It is a composite number with 16 divisors.