The number 72848
72848 is a composite number with 20 divisors. Its prime factorisation is × 29 × 157. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 116, 157, 232, 314, 464, 628, 1256, 2512, 4553 … 72848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72848: a Harshad number: divisible by its digit sum 29.
- 2
72848 is composite. Its prime factorisation is
- 3
The divisors add up to 146940; without 72848 itself that is 74092, so 72848 is abundant (74092 is more than 72848). Euler's totient φ(72848) = 34944 numbers up to 72848 share no factor with it.
- 4
The digits of 72848 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72848 = 2^{4} \times 29 \times 157 \]72848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 146940 |
| Euler totient φ(n) | 34944 |
| Square | 5306831104 |
| Cube | 386592032264192 |
| Square root | 269.903687 (= 4√4553) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2848 × |
72848 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and forty-eight |
| Binary (base 2) | 10001110010010000 |
| Octal (base 8) | 216220 |
| Hexadecimal (base 16) | 11C90 |
| Base 3 | 10200221002 |
| As time | 72848 seconds = 20 h 14 min 8 s |
Is 72848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72848 ÷ 2 = 36424) | 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 (72848 ÷ 4 = 18212) | 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 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 | Yes (72848 ÷ 8 = 9106) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 6) | 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 72848 a prime number?
No. 72848 = × 29 × 157, so it is divisible by 2.
What are the factors of 72848?
1, 2, 4, 8, 16, 29, 58, 116, 157, 232, 314, 464, 628, 1256, 2512, 4553, 9106, 18212, 36424, 72848.
What is 72848 in binary?
10001110010010000 (hexadecimal 11C90, octal 216220).
What is the square root of 72848?
About 269.9037, exactly 4√4553.
Is 72848 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 72848?
72848 is a Harshad number: divisible by its digit sum 29.