The number 76010
76010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 691. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 691, 1382, 3455, 6910, 7601, 15202, 38005, 76010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76010: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76010 is composite. Its prime factorisation is
- 3
The divisors add up to 149472; without 76010 itself that is 73462, so 76010 is deficient (73462 is less than 76010). Euler's totient φ(76010) = 27600 numbers up to 76010 share no factor with it.
- 4
The digits of 76010 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76010 = 2 \times 5 \times 11 \times 691 \]
76010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149472 |
| Euler totient φ(n) | 27600 |
| Square | 5777520100 |
| Cube | 439149302801000 |
| Square root | 275.699111 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.601 × |
76010 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and ten |
| Binary (base 2) | 10010100011101010 |
| Octal (base 8) | 224352 |
| Hexadecimal (base 16) | 128EA |
| Base 3 | 10212021012 |
| As time | 76010 seconds = 21 h 6 min 50 s |
Is 76010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76010 ÷ 2 = 38005) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76010 ÷ 5 = 15202) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76010 ÷ 10 = 7601) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76010 ÷ 11 = 6910) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76010 a prime number?
No. 76010 = 2 × 5 × 11 × 691, so it is divisible by 2.
What are the factors of 76010?
1, 2, 5, 10, 11, 22, 55, 110, 691, 1382, 3455, 6910, 7601, 15202, 38005, 76010.
What is 76010 in binary?
10010100011101010 (hexadecimal 128EA, octal 224352).
What is the square root of 76010?
About 275.6991.
Is 76010 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 76010?
76010 is a happy number: repeatedly adding the squares of its digits reaches 1.