The number 77010
77010 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 17 × 151. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 151, 170, 255 … 77010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77010: a Harshad number: divisible by its digit sum 15.
- 2
77010 is composite. Its prime factorisation is
- 3
The divisors add up to 196992; without 77010 itself that is 119982, so 77010 is abundant (119982 is more than 77010). Euler's totient φ(77010) = 19200 numbers up to 77010 share no factor with it.
- 4
The digits of 77010 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77010 = 2 \times 3 \times 5 \times 17 \times 151 \]
77010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 196992 |
| Euler totient φ(n) | 19200 |
| Square | 5930540100 |
| Cube | 456710893101000 |
| Square root | 277.506757 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.701 × |
77010 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and ten |
| Binary (base 2) | 10010110011010010 |
| Octal (base 8) | 226322 |
| Hexadecimal (base 16) | 12CD2 |
| Base 3 | 10220122020 |
| As time | 77010 seconds = 21 h 23 min 30 s |
Is 77010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77010 ÷ 2 = 38505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77010 ÷ 3 = 25670) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77010 ÷ 5 = 15402) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77010 ÷ 6 = 12835) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77010 ÷ 10 = 7701) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77010 a prime number?
No. 77010 = 2 × 3 × 5 × 17 × 151, so it is divisible by 2.
What are the factors of 77010?
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 151, 170, 255, 302, 453, 510, 755, 906, 1510, 2265, 2567, 4530, 5134, 7701, 12835, 15402, 25670, 38505, 77010.
What is 77010 in binary?
10010110011010010 (hexadecimal 12CD2, octal 226322).
What is the square root of 77010?
About 277.5068.
Is 77010 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 77010?
77010 is a Harshad number: divisible by its digit sum 15.