The number 72496
72496 is a composite number with 20 divisors. Its prime factorisation is × 23 × 197. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 92, 184, 197, 368, 394, 788, 1576, 3152, 4531 … 72496.
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How to work it out
- 1
72496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72496 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 72496 itself that is 74816, so 72496 is abundant (74816 is more than 72496). Euler's totient φ(72496) = 34496 numbers up to 72496 share no factor with it.
- 4
The digits of 72496 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72496 = 2^{4} \times 23 \times 197 \]72496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 34496 |
| Square | 5255670016 |
| Cube | 381015053479936 |
| Square root | 269.250812 (= 4√4531) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2496 × |
72496 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and ninety-six |
| Binary (base 2) | 10001101100110000 |
| Octal (base 8) | 215460 |
| Hexadecimal (base 16) | 11B30 |
| Base 3 | 10200110001 |
| As time | 72496 seconds = 20 h 8 min 16 s |
Is 72496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72496 ÷ 2 = 36248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72496 ÷ 4 = 18124) | 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 | No (remainder 4) | 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 | Yes (72496 ÷ 8 = 9062) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72496 a prime number?
No. 72496 = × 23 × 197, so it is divisible by 2.
What are the factors of 72496?
1, 2, 4, 8, 16, 23, 46, 92, 184, 197, 368, 394, 788, 1576, 3152, 4531, 9062, 18124, 36248, 72496.
What is 72496 in binary?
10001101100110000 (hexadecimal 11B30, octal 215460).
What is the square root of 72496?
About 269.2508, exactly 4√4531.
Is 72496 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 72496?
It is a composite number with 20 divisors.