The number 77002
77002 is a composite number with 4 divisors. Its prime factorisation is 2 × 38501. Divisors (4): 1, 2, 38501, 77002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77002: a semiprime: 2 × 38501, the product of two primes.
- 2
77002 is composite. Its prime factorisation is
- 3
The divisors add up to 115506; without 77002 itself that is 38504, so 77002 is deficient (38504 is less than 77002). Euler's totient φ(77002) = 38500 numbers up to 77002 share no factor with it.
- 4
The digits of 77002 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77002 = 2 \times 38501 \]
77002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 115506 |
| Euler totient φ(n) | 38500 |
| Square | 5929308004 |
| Cube | 456568574924008 |
| Square root | 277.492342 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7002 × |
77002 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and two |
| Binary (base 2) | 10010110011001010 |
| Octal (base 8) | 226312 |
| Hexadecimal (base 16) | 12CCA |
| Base 3 | 10220121221 |
| As time | 77002 seconds = 21 h 23 min 22 s |
Is 77002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77002 ÷ 2 = 38501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77002 a prime number?
No. 77002 = 2 × 38501, so it is divisible by 2.
What are the factors of 77002?
1, 2, 38501, 77002.
What is 77002 in binary?
10010110011001010 (hexadecimal 12CCA, octal 226312).
What is the square root of 77002?
About 277.4923.
Is 77002 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 77002?
77002 is a semiprime: 2 × 38501, the product of two primes.