The number 72013
72013 is a composite number with 8 divisors. Its prime factorisation is 23 × 31 × 101. Divisors (8): 1, 23, 31, 101, 713, 2323, 3131, 72013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72013 is composite. Its prime factorisation is
- 3
The divisors add up to 78336; without 72013 itself that is 6323, so 72013 is deficient (6323 is less than 72013). Euler's totient φ(72013) = 66000 numbers up to 72013 share no factor with it.
- 4
The digits of 72013 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72013 = 23 \times 31 \times 101 \]
72013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78336 |
| Euler totient φ(n) | 66000 |
| Square | 5185872169 |
| Cube | 373450212506197 |
| Square root | 268.352380 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2013 × |
72013 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and thirteen |
| Binary (base 2) | 10001100101001101 |
| Octal (base 8) | 214515 |
| Hexadecimal (base 16) | 1194D |
| Base 3 | 10122210011 |
| As time | 72013 seconds = 20 h 0 min 13 s |
Is 72013 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 3) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 72013 a prime number?
No. 72013 = 23 × 31 × 101, so it is divisible by 23.
What are the factors of 72013?
1, 23, 31, 101, 713, 2323, 3131, 72013.
What is 72013 in binary?
10001100101001101 (hexadecimal 1194D, octal 214515).
What is the square root of 72013?
About 268.3524.
Is 72013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 72013?
It is a composite number with 8 divisors.