The number 77315
77315 is a composite number with 12 divisors. Its prime factorisation is 5 × 7 × . Divisors (12): 1, 5, 7, 35, 47, 235, 329, 1645, 2209, 11045, 15463, 77315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77315: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77315 is composite. Its prime factorisation is
- 3
The divisors add up to 108336; without 77315 itself that is 31021, so 77315 is deficient (31021 is less than 77315). Euler's totient φ(77315) = 51888 numbers up to 77315 share no factor with it.
- 4
The digits of 77315 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.
LaTeX source of the formulas on this page
\[ 77315 = 5 \times 7 \times 47^{2} \]77315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 108336 |
| Euler totient φ(n) | 51888 |
| Square | 5977609225 |
| Cube | 462158857230875 |
| Square root | 278.055750 (= 47√35) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7315 × |
77315 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and fifteen |
| Binary (base 2) | 10010111000000011 |
| Octal (base 8) | 227003 |
| Hexadecimal (base 16) | 12E03 |
| Base 3 | 10221001112 |
| As time | 77315 seconds = 21 h 28 min 35 s |
Is 77315 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 | Yes (77315 ÷ 5 = 15463) | 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 (77315 ÷ 7 = 11045) | 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 3) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77315 a prime number?
No. 77315 = 5 × 7 × , so it is divisible by 5.
What are the factors of 77315?
1, 5, 7, 35, 47, 235, 329, 1645, 2209, 11045, 15463, 77315.
What is 77315 in binary?
10010111000000011 (hexadecimal 12E03, octal 227003).
What is the square root of 77315?
About 278.0557, exactly 47√35.
Is 77315 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77315?
77315 is a happy number: repeatedly adding the squares of its digits reaches 1.