The number 80407
80407 is the 7872nd prime number. Its only divisors are 1 and 80407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80407: the 7872nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80407 is prime, so its only factors are 1 and 80407. It is the 7872nd prime; the next prime is 80429 and the one before is 80387.
- 3
The divisors add up to 80408; without 80407 itself that is 1, so 80407 is deficient (1 is less than 80407). Euler's totient φ(80407) = 80406 numbers up to 80407 share no factor with it.
- 4
The digits of 80407 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
80407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80408 |
| Euler totient φ(n) | 80406 |
| Square | 6465285649 |
| Cube | 519854223179143 |
| Square root | 283.561281 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0407 × |
80407 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and seven |
| Binary (base 2) | 10011101000010111 |
| Octal (base 8) | 235027 |
| Hexadecimal (base 16) | 13A17 |
| Base 3 | 11002022001 |
| As time | 80407 seconds = 22 h 20 min 7 s |
Is 80407 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 3) | 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 5) | 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 7) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80407 a prime number?
Yes. 80407 is divisible only by 1 and itself.
What are the factors of 80407?
1, 80407.
What is 80407 in binary?
10011101000010111 (hexadecimal 13A17, octal 235027).
What is the square root of 80407?
About 283.5613.
Is 80407 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80407?
80407 is the 7872nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.