The number 72050
72050 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 131. Divisors (24): 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 131, 262, 275, 550, 655, 1310 … 72050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72050 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72050 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 72050 itself that is 75262, so 72050 is abundant (75262 is more than 72050). Euler's totient φ(72050) = 26000 numbers up to 72050 share no factor with it.
- 4
The digits of 72050 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72050 = 2 \times 5^{2} \times 11 \times 131 \]72050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 26000 |
| Square | 5191202500 |
| Cube | 374026140125000 |
| Square root | 268.421311 (= 5√2882) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.205 × |
72050 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and fifty |
| Binary (base 2) | 10001100101110010 |
| Octal (base 8) | 214562 |
| Hexadecimal (base 16) | 11972 |
| Base 3 | 10122211112 |
| As time | 72050 seconds = 20 h 0 min 50 s |
Is 72050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72050 ÷ 2 = 36025) | 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 (72050 ÷ 5 = 14410) | 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 6) | 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 (72050 ÷ 10 = 7205) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72050 ÷ 11 = 6550) | 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 72050 a prime number?
No. 72050 = 2 × × 11 × 131, so it is divisible by 2.
What are the factors of 72050?
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 131, 262, 275, 550, 655, 1310, 1441, 2882, 3275, 6550, 7205, 14410, 36025, 72050.
What is 72050 in binary?
10001100101110010 (hexadecimal 11972, octal 214562).
What is the square root of 72050?
About 268.4213, exactly 5√2882.
Is 72050 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72050?
It is a composite number with 24 divisors.