The number 78004
78004 is a composite number with 6 divisors. Its prime factorisation is × 19501. Divisors (6): 1, 2, 4, 19501, 39002, 78004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 78004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
78004 is composite. Its prime factorisation is
- 3
The divisors add up to 136514; without 78004 itself that is 58510, so 78004 is deficient (58510 is less than 78004). Euler's totient φ(78004) = 39000 numbers up to 78004 share no factor with it.
- 4
The digits of 78004 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78004 = 2^{2} \times 19501 \]78004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 136514 |
| Euler totient φ(n) | 39000 |
| Square | 6084624016 |
| Cube | 474625011744064 |
| Square root | 279.291962 (= 2√19501) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.8004 × |
78004 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and four |
| Binary (base 2) | 10011000010110100 |
| Octal (base 8) | 230264 |
| Hexadecimal (base 16) | 130B4 |
| Base 3 | 10222000001 |
| As time | 78004 seconds = 21 h 40 min 4 s |
Is 78004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78004 ÷ 2 = 39002) | 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 | Yes (78004 ÷ 4 = 19501) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78004 a prime number?
No. 78004 = × 19501, so it is divisible by 2.
What are the factors of 78004?
1, 2, 4, 19501, 39002, 78004.
What is 78004 in binary?
10011000010110100 (hexadecimal 130B4, octal 230264).
What is the square root of 78004?
About 279.2920, exactly 2√19501.
Is 78004 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 78004?
78004 is a happy number: repeatedly adding the squares of its digits reaches 1.