The number 72513
72513 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1151. Divisors (12): 1, 3, 7, 9, 21, 63, 1151, 3453, 8057, 10359, 24171, 72513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72513 is composite. Its prime factorisation is
- 3
The divisors add up to 119808; without 72513 itself that is 47295, so 72513 is deficient (47295 is less than 72513). Euler's totient φ(72513) = 41400 numbers up to 72513 share no factor with it.
- 4
The digits of 72513 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72513 = 3^{2} \times 7 \times 1151 \]72513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119808 |
| Euler totient φ(n) | 41400 |
| Square | 5258135169 |
| Cube | 381283155509697 |
| Square root | 269.282380 (= 3√8057) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2513 × |
72513 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred and thirteen |
| Binary (base 2) | 10001101101000001 |
| Octal (base 8) | 215501 |
| Hexadecimal (base 16) | 11B41 |
| Base 3 | 10200110200 |
| As time | 72513 seconds = 20 h 8 min 33 s |
Is 72513 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 | Yes (72513 ÷ 3 = 24171) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72513 ÷ 7 = 10359) | 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 | Yes (72513 ÷ 9 = 8057) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72513 a prime number?
No. 72513 = × 7 × 1151, so it is divisible by 3.
What are the factors of 72513?
1, 3, 7, 9, 21, 63, 1151, 3453, 8057, 10359, 24171, 72513.
What is 72513 in binary?
10001101101000001 (hexadecimal 11B41, octal 215501).
What is the square root of 72513?
About 269.2824, exactly 3√8057.
Is 72513 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72513?
It is a composite number with 12 divisors.