The number 72248
72248 is a composite number with 16 divisors. Its prime factorisation is × 11 × 821. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 821, 1642, 3284, 6568, 9031, 18062, 36124, 72248.
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How to work it out
- 1
72248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72248 is composite. Its prime factorisation is
- 3
The divisors add up to 147960; without 72248 itself that is 75712, so 72248 is abundant (75712 is more than 72248). Euler's totient φ(72248) = 32800 numbers up to 72248 share no factor with it.
- 4
The digits of 72248 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72248 = 2^{3} \times 11 \times 821 \]72248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 147960 |
| Euler totient φ(n) | 32800 |
| Square | 5219773504 |
| Cube | 377118196116992 |
| Square root | 268.789881 (= 2√18062) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2248 × |
72248 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and forty-eight |
| Binary (base 2) | 10001101000111000 |
| Octal (base 8) | 215070 |
| Hexadecimal (base 16) | 11A38 |
| Base 3 | 10200002212 |
| As time | 72248 seconds = 20 h 4 min 8 s |
Is 72248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72248 ÷ 2 = 36124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72248 ÷ 4 = 18062) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (72248 ÷ 8 = 9031) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72248 ÷ 11 = 6568) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72248 a prime number?
No. 72248 = × 11 × 821, so it is divisible by 2.
What are the factors of 72248?
1, 2, 4, 8, 11, 22, 44, 88, 821, 1642, 3284, 6568, 9031, 18062, 36124, 72248.
What is 72248 in binary?
10001101000111000 (hexadecimal 11A38, octal 215070).
What is the square root of 72248?
About 268.7899, exactly 2√18062.
Is 72248 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72248?
It is a composite number with 16 divisors.