The number 73010
73010 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 149. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 149, 245, 298, 490, 745, 1043 … 73010.
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How to work it out
- 1
73010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73010 is composite. Its prime factorisation is
- 3
The divisors add up to 153900; without 73010 itself that is 80890, so 73010 is abundant (80890 is more than 73010). Euler's totient φ(73010) = 24864 numbers up to 73010 share no factor with it.
- 4
The digits of 73010 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73010 = 2 \times 5 \times 7^{2} \times 149 \]73010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 153900 |
| Euler totient φ(n) | 24864 |
| Square | 5330460100 |
| Cube | 389176891901000 |
| Square root | 270.203627 (= 7√1490) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.301 × |
73010 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and ten |
| Binary (base 2) | 10001110100110010 |
| Octal (base 8) | 216462 |
| Hexadecimal (base 16) | 11D32 |
| Base 3 | 10201011002 |
| As time | 73010 seconds = 20 h 16 min 50 s |
Is 73010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73010 ÷ 2 = 36505) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73010 ÷ 5 = 14602) | 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 | Yes (73010 ÷ 7 = 10430) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73010 ÷ 10 = 7301) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73010 a prime number?
No. 73010 = 2 × 5 × × 149, so it is divisible by 2.
What are the factors of 73010?
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 149, 245, 298, 490, 745, 1043, 1490, 2086, 5215, 7301, 10430, 14602, 36505, 73010.
What is 73010 in binary?
10001110100110010 (hexadecimal 11D32, octal 216462).
What is the square root of 73010?
About 270.2036, exactly 7√1490.
Is 73010 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 73010?
It is a composite number with 24 divisors.