The number 72737
72737 is a composite number with 4 divisors. Its prime factorisation is 7 × 10391. Divisors (4): 1, 7, 10391, 72737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72737: a semiprime: 7 × 10391, the product of two primes.
- 2
72737 is composite. Its prime factorisation is
- 3
The divisors add up to 83136; without 72737 itself that is 10399, so 72737 is deficient (10399 is less than 72737). Euler's totient φ(72737) = 62340 numbers up to 72737 share no factor with it.
- 4
The digits of 72737 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72737 = 7 \times 10391 \]
72737 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83136 |
| Euler totient φ(n) | 62340 |
| Square | 5290671169 |
| Cube | 384827548819553 |
| Square root | 269.697979 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2737 × |
72737 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty-seven |
| Binary (base 2) | 10001110000100001 |
| Octal (base 8) | 216041 |
| Hexadecimal (base 16) | 11C21 |
| Base 3 | 10200202222 |
| As time | 72737 seconds = 20 h 12 min 17 s |
Is 72737 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 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72737 ÷ 7 = 10391) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72737 a prime number?
No. 72737 = 7 × 10391, so it is divisible by 7.
What are the factors of 72737?
1, 7, 10391, 72737.
What is 72737 in binary?
10001110000100001 (hexadecimal 11C21, octal 216041).
What is the square root of 72737?
About 269.6980.
Is 72737 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 72737?
72737 is a semiprime: 7 × 10391, the product of two primes.