The number 77351
77351 is the 7600th prime number. Its only divisors are 1 and 77351.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77351: the 7600th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77351 is prime, so its only factors are 1 and 77351. It is the 7600th prime; the next prime is 77359 and the one before is 77347.
- 3
The divisors add up to 77352; without 77351 itself that is 1, so 77351 is deficient (1 is less than 77351). Euler's totient φ(77351) = 77350 numbers up to 77351 share no factor with it.
- 4
The digits of 77351 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
77351 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77352 |
| Euler totient φ(n) | 77350 |
| Square | 5983177201 |
| Cube | 462804739674551 |
| Square root | 278.120477 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7351 × |
77351 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and fifty-one |
| Binary (base 2) | 10010111000100111 |
| Octal (base 8) | 227047 |
| Hexadecimal (base 16) | 12E27 |
| Base 3 | 10221002212 |
| As time | 77351 seconds = 21 h 29 min 11 s |
Is 77351 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77351 a prime number?
Yes. 77351 is divisible only by 1 and itself.
What are the factors of 77351?
1, 77351.
What is 77351 in binary?
10010111000100111 (hexadecimal 12E27, octal 227047).
What is the square root of 77351?
About 278.1205.
Is 77351 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77351?
77351 is the 7600th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.