The number 73249
73249 is a composite number with 4 divisors. Its prime factorisation is 11 × 6659. Divisors (4): 1, 11, 6659, 73249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73249: a semiprime: 11 × 6659, the product of two primes.
- 2
73249 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 73249 itself that is 6671, so 73249 is deficient (6671 is less than 73249). Euler's totient φ(73249) = 66580 numbers up to 73249 share no factor with it.
- 4
The digits of 73249 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73249 = 11 \times 6659 \]
73249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 66580 |
| Square | 5365416001 |
| Cube | 393011356657249 |
| Square root | 270.645525 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.3249 × |
73249 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and forty-nine |
| Binary (base 2) | 10001111000100001 |
| Octal (base 8) | 217041 |
| Hexadecimal (base 16) | 11E21 |
| Base 3 | 10201110221 |
| As time | 73249 seconds = 20 h 20 min 49 s |
Is 73249 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73249 ÷ 11 = 6659) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73249 a prime number?
No. 73249 = 11 × 6659, so it is divisible by 11.
What are the factors of 73249?
1, 11, 6659, 73249.
What is 73249 in binary?
10001111000100001 (hexadecimal 11E21, octal 217041).
What is the square root of 73249?
About 270.6455.
Is 73249 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73249?
73249 is a semiprime: 11 × 6659, the product of two primes.