The number 80737
80737 is the 7901st prime number. Its only divisors are 1 and 80737.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80737: the 7901st prime number.
- 2
80737 is prime, so its only factors are 1 and 80737. It is the 7901st prime; the next prime is 80747 and the one before is 80713.
- 3
The divisors add up to 80738; without 80737 itself that is 1, so 80737 is deficient (1 is less than 80737). Euler's totient φ(80737) = 80736 numbers up to 80737 share no factor with it.
- 4
The digits of 80737 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 94 steps to reach 1.
80737 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80738 |
| Euler totient φ(n) | 80736 |
| Square | 6518463169 |
| Cube | 526281160875553 |
| Square root | 284.142570 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0737 × |
80737 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and thirty-seven |
| Binary (base 2) | 10011101101100001 |
| Octal (base 8) | 235541 |
| Hexadecimal (base 16) | 13B61 |
| Base 3 | 11002202021 |
| As time | 80737 seconds = 22 h 25 min 37 s |
Is 80737 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 2) | 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 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 | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 80737 a prime number?
Yes. 80737 is divisible only by 1 and itself.
What are the factors of 80737?
1, 80737.
What is 80737 in binary?
10011101101100001 (hexadecimal 13B61, octal 235541).
What is the square root of 80737?
About 284.1426.
Is 80737 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80737?
80737 is the 7901st prime number.