The number 78002
78002 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 907. Divisors (8): 1, 2, 43, 86, 907, 1814, 39001, 78002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
78002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78002 is composite. Its prime factorisation is
- 3
The divisors add up to 119856; without 78002 itself that is 41854, so 78002 is deficient (41854 is less than 78002). Euler's totient φ(78002) = 38052 numbers up to 78002 share no factor with it.
- 4
The digits of 78002 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78002 = 2 \times 43 \times 907 \]
78002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 119856 |
| Euler totient φ(n) | 38052 |
| Square | 6084312004 |
| Cube | 474588504936008 |
| Square root | 279.288381 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.8002 × |
78002 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and two |
| Binary (base 2) | 10011000010110010 |
| Octal (base 8) | 230262 |
| Hexadecimal (base 16) | 130B2 |
| Base 3 | 10221222222 |
| As time | 78002 seconds = 21 h 40 min 2 s |
Is 78002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78002 ÷ 2 = 39001) | 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 | 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 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78002 a prime number?
No. 78002 = 2 × 43 × 907, so it is divisible by 2.
What are the factors of 78002?
1, 2, 43, 86, 907, 1814, 39001, 78002.
What is 78002 in binary?
10011000010110010 (hexadecimal 130B2, octal 230262).
What is the square root of 78002?
About 279.2884.
Is 78002 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 78002?
It is a composite number with 8 divisors.