The number 72059
72059 is a composite number with 8 divisors. Its prime factorisation is 13 × 23 × 241. Divisors (8): 1, 13, 23, 241, 299, 3133, 5543, 72059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72059: a Harshad number: divisible by its digit sum 23.
- 2
72059 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 72059 itself that is 9253, so 72059 is deficient (9253 is less than 72059). Euler's totient φ(72059) = 63360 numbers up to 72059 share no factor with it.
- 4
The digits of 72059 add up to 23, 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
\[ 72059 = 13 \times 23 \times 241 \]
72059 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 63360 |
| Square | 5192499481 |
| Cube | 374166320101379 |
| Square root | 268.438075 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2059 × |
72059 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and fifty-nine |
| Binary (base 2) | 10001100101111011 |
| Octal (base 8) | 214573 |
| Hexadecimal (base 16) | 1197B |
| Base 3 | 10122211212 |
| As time | 72059 seconds = 20 h 0 min 59 s |
Is 72059 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 3) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72059 a prime number?
No. 72059 = 13 × 23 × 241, so it is divisible by 13.
What are the factors of 72059?
1, 13, 23, 241, 299, 3133, 5543, 72059.
What is 72059 in binary?
10001100101111011 (hexadecimal 1197B, octal 214573).
What is the square root of 72059?
About 268.4381.
Is 72059 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72059?
72059 is a Harshad number: divisible by its digit sum 23.