The number 72488
72488 is a composite number with 32 divisors. Its prime factorisation is × 13 × 17 × 41. Divisors (32): 1, 2, 4, 8, 13, 17, 26, 34, 41, 52, 68, 82, 104, 136, 164, 221 … 72488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72488 is composite. Its prime factorisation is
- 3
The divisors add up to 158760; without 72488 itself that is 86272, so 72488 is abundant (86272 is more than 72488). Euler's totient φ(72488) = 30720 numbers up to 72488 share no factor with it.
- 4
The digits of 72488 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72488 = 2^{3} \times 13 \times 17 \times 41 \]72488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 158760 |
| Euler totient φ(n) | 30720 |
| Square | 5254510144 |
| Cube | 380888931318272 |
| Square root | 269.235956 (= 2√18122) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2488 × |
72488 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and eighty-eight |
| Binary (base 2) | 10001101100101000 |
| Octal (base 8) | 215450 |
| Hexadecimal (base 16) | 11B28 |
| Base 3 | 10200102202 |
| As time | 72488 seconds = 20 h 8 min 8 s |
Is 72488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72488 ÷ 2 = 36244) | 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 (72488 ÷ 4 = 18122) | 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 3) | 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 (72488 ÷ 8 = 9061) | 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 9) | 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 72488 a prime number?
No. 72488 = × 13 × 17 × 41, so it is divisible by 2.
What are the factors of 72488?
1, 2, 4, 8, 13, 17, 26, 34, 41, 52, 68, 82, 104, 136, 164, 221, 328, 442, 533, 697, 884, 1066, 1394, 1768, 2132, 2788, 4264, 5576, 9061, 18122, 36244, 72488.
What is 72488 in binary?
10001101100101000 (hexadecimal 11B28, octal 215450).
What is the square root of 72488?
About 269.2360, exactly 2√18122.
Is 72488 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 72488?
It is a composite number with 32 divisors.