The number 72130
72130 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 7213. Divisors (8): 1, 2, 5, 10, 7213, 14426, 36065, 72130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72130 is composite. Its prime factorisation is
- 3
The divisors add up to 129852; without 72130 itself that is 57722, so 72130 is deficient (57722 is less than 72130). Euler's totient φ(72130) = 28848 numbers up to 72130 share no factor with it.
- 4
The digits of 72130 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72130 = 2 \times 5 \times 7213 \]
72130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 129852 |
| Euler totient φ(n) | 28848 |
| Square | 5202736900 |
| Cube | 375273412597000 |
| Square root | 268.570289 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.213 × |
72130 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirty |
| Binary (base 2) | 10001100111000010 |
| Octal (base 8) | 214702 |
| Hexadecimal (base 16) | 119C2 |
| Base 3 | 10122221111 |
| As time | 72130 seconds = 20 h 2 min 10 s |
Is 72130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72130 ÷ 2 = 36065) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (72130 ÷ 5 = 14426) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72130 ÷ 10 = 7213) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72130 a prime number?
No. 72130 = 2 × 5 × 7213, so it is divisible by 2.
What are the factors of 72130?
1, 2, 5, 10, 7213, 14426, 36065, 72130.
What is 72130 in binary?
10001100111000010 (hexadecimal 119C2, octal 214702).
What is the square root of 72130?
About 268.5703.
Is 72130 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 72130?
It is a composite number with 8 divisors.