The number 72267
72267 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 109. Divisors (16): 1, 3, 13, 17, 39, 51, 109, 221, 327, 663, 1417, 1853, 4251, 5559, 24089, 72267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72267 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72267 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 72267 itself that is 38613, so 72267 is deficient (38613 is less than 72267). Euler's totient φ(72267) = 41472 numbers up to 72267 share no factor with it.
- 4
The digits of 72267 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72267 = 3 \times 13 \times 17 \times 109 \]
72267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 41472 |
| Square | 5222519289 |
| Cube | 377415801458163 |
| Square root | 268.825222 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2267 × |
72267 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and sixty-seven |
| Binary (base 2) | 10001101001001011 |
| Octal (base 8) | 215113 |
| Hexadecimal (base 16) | 11A4B |
| Base 3 | 10200010120 |
| As time | 72267 seconds = 20 h 4 min 27 s |
Is 72267 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 (72267 ÷ 3 = 24089) | 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 2) | 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 | No (remainder 6) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72267 a prime number?
No. 72267 = 3 × 13 × 17 × 109, so it is divisible by 3.
What are the factors of 72267?
1, 3, 13, 17, 39, 51, 109, 221, 327, 663, 1417, 1853, 4251, 5559, 24089, 72267.
What is 72267 in binary?
10001101001001011 (hexadecimal 11A4B, octal 215113).
What is the square root of 72267?
About 268.8252.
Is 72267 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72267?
It is a composite number with 16 divisors.