The number 77012
77012 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1481. Divisors (12): 1, 2, 4, 13, 26, 52, 1481, 2962, 5924, 19253, 38506, 77012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77012: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77012 is composite. Its prime factorisation is
- 3
The divisors add up to 145236; without 77012 itself that is 68224, so 77012 is deficient (68224 is less than 77012). Euler's totient φ(77012) = 35520 numbers up to 77012 share no factor with it.
- 4
The digits of 77012 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77012 = 2^{2} \times 13 \times 1481 \]77012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 145236 |
| Euler totient φ(n) | 35520 |
| Square | 5930848144 |
| Cube | 456746477265728 |
| Square root | 277.510360 (= 2√19253) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7012 × |
77012 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and twelve |
| Binary (base 2) | 10010110011010100 |
| Octal (base 8) | 226324 |
| Hexadecimal (base 16) | 12CD4 |
| Base 3 | 10220122022 |
| As time | 77012 seconds = 21 h 23 min 32 s |
Is 77012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77012 ÷ 2 = 38506) | 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 | Yes (77012 ÷ 4 = 19253) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77012 a prime number?
No. 77012 = × 13 × 1481, so it is divisible by 2.
What are the factors of 77012?
1, 2, 4, 13, 26, 52, 1481, 2962, 5924, 19253, 38506, 77012.
What is 77012 in binary?
10010110011010100 (hexadecimal 12CD4, octal 226324).
What is the square root of 77012?
About 277.5104, exactly 2√19253.
Is 77012 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 77012?
77012 is a happy number: repeatedly adding the squares of its digits reaches 1.