The number 72361
72361 is a perfect square (269²). Its prime factorisation is . Divisors (3): 1, 269, 72361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72361: a perfect square (269²); the square of a prime (269²).
- 2
72361 is composite. Its prime factorisation is
- 3
The divisors add up to 72631; without 72361 itself that is 270, so 72361 is deficient (270 is less than 72361). Euler's totient φ(72361) = 72092 numbers up to 72361 share no factor with it.
- 4
The digits of 72361 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 262 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72361 = 269^{2} \]72361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 72631 |
| Euler totient φ(n) | 72092 |
| Square | 5236114321 |
| Cube | 378890468381881 |
| Square root | 269 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 262 |
| Scientific notation | 7.2361 × |
| Perfect power |
72361 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and sixty-one |
| Binary (base 2) | 10001101010101001 |
| Octal (base 8) | 215251 |
| Hexadecimal (base 16) | 11AA9 |
| Base 3 | 10200021001 |
| As time | 72361 seconds = 20 h 6 min 1 s |
Is 72361 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72361 a prime number?
No. 72361 = , so it is divisible by 269.
What are the factors of 72361?
1, 269, 72361.
What is 72361 in binary?
10001101010101001 (hexadecimal 11AA9, octal 215251).
What is the square root of 72361?
269, because 269 × 269 = 72361.
Is 72361 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72361?
72361 is a perfect square (269²); the square of a prime (269²).