The number 77513
77513 is the 7615th prime number. Its only divisors are 1 and 77513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77513: the 7615th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77513 is prime, so its only factors are 1 and 77513. It is the 7615th prime; the next prime is 77521 and the one before is 77509.
- 3
The divisors add up to 77514; without 77513 itself that is 1, so 77513 is deficient (1 is less than 77513). Euler's totient φ(77513) = 77512 numbers up to 77513 share no factor with it.
- 4
The digits of 77513 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 156 steps to reach 1.
77513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77514 |
| Euler totient φ(n) | 77512 |
| Square | 6008265169 |
| Cube | 465718658044697 |
| Square root | 278.411566 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.7513 × |
77513 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and thirteen |
| Binary (base 2) | 10010111011001001 |
| Octal (base 8) | 227311 |
| Hexadecimal (base 16) | 12EC9 |
| Base 3 | 10221022212 |
| As time | 77513 seconds = 21 h 31 min 53 s |
Is 77513 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 3) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 77513 a prime number?
Yes. 77513 is divisible only by 1 and itself.
What are the factors of 77513?
1, 77513.
What is 77513 in binary?
10010111011001001 (hexadecimal 12EC9, octal 227311).
What is the square root of 77513?
About 278.4116.
Is 77513 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77513?
77513 is the 7615th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.