The number 77015
77015 is a composite number with 8 divisors. Its prime factorisation is 5 × 73 × 211. Divisors (8): 1, 5, 73, 211, 365, 1055, 15403, 77015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77015 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77015 is composite. Its prime factorisation is
- 3
The divisors add up to 94128; without 77015 itself that is 17113, so 77015 is deficient (17113 is less than 77015). Euler's totient φ(77015) = 60480 numbers up to 77015 share no factor with it.
- 4
The digits of 77015 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77015 = 5 \times 73 \times 211 \]
77015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 94128 |
| Euler totient φ(n) | 60480 |
| Square | 5931310225 |
| Cube | 456799856978375 |
| Square root | 277.515765 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7015 × |
77015 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and fifteen |
| Binary (base 2) | 10010110011010111 |
| Octal (base 8) | 226327 |
| Hexadecimal (base 16) | 12CD7 |
| Base 3 | 10220122102 |
| As time | 77015 seconds = 21 h 23 min 35 s |
Is 77015 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 (77015 ÷ 5 = 15403) | 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 2) | 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 4) | 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 77015 a prime number?
No. 77015 = 5 × 73 × 211, so it is divisible by 5.
What are the factors of 77015?
1, 5, 73, 211, 365, 1055, 15403, 77015.
What is 77015 in binary?
10010110011010111 (hexadecimal 12CD7, octal 226327).
What is the square root of 77015?
About 277.5158.
Is 77015 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77015?
It is a composite number with 8 divisors.