The number 72237
72237 is a composite number with 12 divisors. Its prime factorisation is 3 × × 199. Divisors (12): 1, 3, 11, 33, 121, 199, 363, 597, 2189, 6567, 24079, 72237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72237 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72237 is composite. Its prime factorisation is
- 3
The divisors add up to 106400; without 72237 itself that is 34163, so 72237 is deficient (34163 is less than 72237). Euler's totient φ(72237) = 43560 numbers up to 72237 share no factor with it.
- 4
The digits of 72237 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72237 = 3 \times 11^{2} \times 199 \]72237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106400 |
| Euler totient φ(n) | 43560 |
| Square | 5218184169 |
| Cube | 376945969816053 |
| Square root | 268.769418 (= 11√597) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2237 × |
72237 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and thirty-seven |
| Binary (base 2) | 10001101000101101 |
| Octal (base 8) | 215055 |
| Hexadecimal (base 16) | 11A2D |
| Base 3 | 10200002110 |
| As time | 72237 seconds = 20 h 3 min 57 s |
Is 72237 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 (72237 ÷ 3 = 24079) | 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 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 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 3) | 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 | Yes (72237 ÷ 11 = 6567) | 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 72237 a prime number?
No. 72237 = 3 × × 199, so it is divisible by 3.
What are the factors of 72237?
1, 3, 11, 33, 121, 199, 363, 597, 2189, 6567, 24079, 72237.
What is 72237 in binary?
10001101000101101 (hexadecimal 11A2D, octal 215055).
What is the square root of 72237?
About 268.7694, exactly 11√597.
Is 72237 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72237?
It is a composite number with 12 divisors.