The number 72023
72023 is a composite number with 4 divisors. Its prime factorisation is 7 × 10289. Divisors (4): 1, 7, 10289, 72023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72023: a semiprime: 7 × 10289, the product of two primes.
- 2
72023 is composite. Its prime factorisation is
- 3
The divisors add up to 82320; without 72023 itself that is 10297, so 72023 is deficient (10297 is less than 72023). Euler's totient φ(72023) = 61728 numbers up to 72023 share no factor with it.
- 4
The digits of 72023 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72023 = 7 \times 10289 \]
72023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 82320 |
| Euler totient φ(n) | 61728 |
| Square | 5187312529 |
| Cube | 373605810276167 |
| Square root | 268.371012 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2023 × |
72023 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and twenty-three |
| Binary (base 2) | 10001100101010111 |
| Octal (base 8) | 214527 |
| Hexadecimal (base 16) | 11957 |
| Base 3 | 10122210112 |
| As time | 72023 seconds = 20 h 0 min 23 s |
Is 72023 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 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 | Yes (72023 ÷ 7 = 10289) | 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 7) | 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 6) | 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 72023 a prime number?
No. 72023 = 7 × 10289, so it is divisible by 7.
What are the factors of 72023?
1, 7, 10289, 72023.
What is 72023 in binary?
10001100101010111 (hexadecimal 11957, octal 214527).
What is the square root of 72023?
About 268.3710.
Is 72023 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72023?
72023 is a semiprime: 7 × 10289, the product of two primes.