The number 72726
72726 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 17 × 23 × 31. Divisors (32): 1, 2, 3, 6, 17, 23, 31, 34, 46, 51, 62, 69, 93, 102, 138, 186 … 72726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72726 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72726 is composite. Its prime factorisation is
- 3
The divisors add up to 165888; without 72726 itself that is 93162, so 72726 is abundant (93162 is more than 72726). Euler's totient φ(72726) = 21120 numbers up to 72726 share no factor with it.
- 4
The digits of 72726 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72726 = 2 \times 3 \times 17 \times 23 \times 31 \]
72726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 165888 |
| Euler totient φ(n) | 21120 |
| Square | 5289071076 |
| Cube | 384652983073176 |
| Square root | 269.677585 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2726 × |
72726 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and twenty-six |
| Binary (base 2) | 10001110000010110 |
| Octal (base 8) | 216026 |
| Hexadecimal (base 16) | 11C16 |
| Base 3 | 10200202120 |
| As time | 72726 seconds = 20 h 12 min 6 s |
Is 72726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72726 ÷ 2 = 36363) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72726 ÷ 3 = 24242) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72726 ÷ 6 = 12121) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72726 a prime number?
No. 72726 = 2 × 3 × 17 × 23 × 31, so it is divisible by 2.
What are the factors of 72726?
1, 2, 3, 6, 17, 23, 31, 34, 46, 51, 62, 69, 93, 102, 138, 186, 391, 527, 713, 782, 1054, 1173, 1426, 1581, 2139, 2346, 3162, 4278, 12121, 24242, 36363, 72726.
What is 72726 in binary?
10001110000010110 (hexadecimal 11C16, octal 216026).
What is the square root of 72726?
About 269.6776.
Is 72726 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72726?
It is a composite number with 32 divisors.