The number 72473
72473 is a composite number with 6 divisors. Its prime factorisation is Ć 137. Divisors (6): 1, 23, 137, 529, 3151, 72473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72473: a Harshad number: divisible by its digit sum 23.
- 2
72473 is composite. Its prime factorisation is
- 3
The divisors add up to 76314; without 72473 itself that is 3841, so 72473 is deficient (3841 is less than 72473). Euler's totient Ļ(72473) = 68816 numbers up to 72473 share no factor with it.
- 4
The digits of 72473 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 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72473 = 23^{2} \times 137 \]72473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 76314 |
| Euler totient Ļ(n) | 68816 |
| Square | 5252335729 |
| Cube | 380652527287817 |
| Square root | 269.208098 (= 23ā137) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 205 |
| Scientific notation | 7.2473 Ć |
72473 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and seventy-three |
| Binary (base 2) | 10001101100011001 |
| Octal (base 8) | 215431 |
| Hexadecimal (base 16) | 11B19 |
| Base 3 | 10200102012 |
| As time | 72473 seconds = 20 h 7 min 53 s |
Is 72473 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72473 a prime number?
No. 72473 = Ć 137, so it is divisible by 23.
What are the factors of 72473?
1, 23, 137, 529, 3151, 72473.
What is 72473 in binary?
10001101100011001 (hexadecimal 11B19, octal 215431).
What is the square root of 72473?
About 269.2081, exactly 23ā137.
Is 72473 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72473?
72473 is a Harshad number: divisible by its digit sum 23.