The number 73130
73130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 71 × 103. Divisors (16): 1, 2, 5, 10, 71, 103, 142, 206, 355, 515, 710, 1030, 7313, 14626, 36565, 73130.
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How to work it out
- 1
What is special about 73130: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73130 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 73130 itself that is 61654, so 73130 is deficient (61654 is less than 73130). Euler's totient φ(73130) = 28560 numbers up to 73130 share no factor with it.
- 4
The digits of 73130 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73130 = 2 \times 5 \times 71 \times 103 \]
73130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 28560 |
| Square | 5347996900 |
| Cube | 391099013297000 |
| Square root | 270.425591 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.313 × |
73130 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and thirty |
| Binary (base 2) | 10001110110101010 |
| Octal (base 8) | 216652 |
| Hexadecimal (base 16) | 11DAA |
| Base 3 | 10201022112 |
| As time | 73130 seconds = 20 h 18 min 50 s |
Is 73130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73130 ÷ 2 = 36565) | 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 (73130 ÷ 5 = 14626) | 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 | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73130 ÷ 10 = 7313) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 73130 a prime number?
No. 73130 = 2 × 5 × 71 × 103, so it is divisible by 2.
What are the factors of 73130?
1, 2, 5, 10, 71, 103, 142, 206, 355, 515, 710, 1030, 7313, 14626, 36565, 73130.
What is 73130 in binary?
10001110110101010 (hexadecimal 11DAA, octal 216652).
What is the square root of 73130?
About 270.4256.
Is 73130 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73130?
73130 is a happy number: repeatedly adding the squares of its digits reaches 1.