The number 72550
72550 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1451. Divisors (12): 1, 2, 5, 10, 25, 50, 1451, 2902, 7255, 14510, 36275, 72550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72550: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72550 is composite. Its prime factorisation is
- 3
The divisors add up to 135036; without 72550 itself that is 62486, so 72550 is deficient (62486 is less than 72550). Euler's totient φ(72550) = 29000 numbers up to 72550 share no factor with it.
- 4
The digits of 72550 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72550 = 2 \times 5^{2} \times 1451 \]72550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 135036 |
| Euler totient φ(n) | 29000 |
| Square | 5263502500 |
| Cube | 381867106375000 |
| Square root | 269.351072 (= 5√2902) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.255 × |
72550 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred and fifty |
| Binary (base 2) | 10001101101100110 |
| Octal (base 8) | 215546 |
| Hexadecimal (base 16) | 11B66 |
| Base 3 | 10200112001 |
| As time | 72550 seconds = 20 h 9 min 10 s |
Is 72550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72550 ÷ 2 = 36275) | 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 (72550 ÷ 5 = 14510) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72550 ÷ 10 = 7255) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 72550 a prime number?
No. 72550 = 2 × × 1451, so it is divisible by 2.
What are the factors of 72550?
1, 2, 5, 10, 25, 50, 1451, 2902, 7255, 14510, 36275, 72550.
What is 72550 in binary?
10001101101100110 (hexadecimal 11B66, octal 215546).
What is the square root of 72550?
About 269.3511, exactly 5√2902.
Is 72550 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72550?
72550 is a happy number: repeatedly adding the squares of its digits reaches 1.