The number 69004
69004 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1327. Divisors (12): 1, 2, 4, 13, 26, 52, 1327, 2654, 5308, 17251, 34502, 69004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 69004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
69004 is composite. Its prime factorisation is
- 3
The divisors add up to 130144; without 69004 itself that is 61140, so 69004 is deficient (61140 is less than 69004). Euler's totient φ(69004) = 31824 numbers up to 69004 share no factor with it.
- 4
The digits of 69004 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 69004 = 2^{2} \times 13 \times 1327 \]69004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 130144 |
| Euler totient φ(n) | 31824 |
| Square | 4761552016 |
| Cube | 328566135312064 |
| Square root | 262.686124 (= 2√17251) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.9004 × |
69004 in other forms
| Form | Value |
|---|---|
| In words | sixty-nine thousand and four |
| Binary (base 2) | 10000110110001100 |
| Octal (base 8) | 206614 |
| Hexadecimal (base 16) | 10D8C |
| Base 3 | 10111122201 |
| As time | 69004 seconds = 19 h 10 min 4 s |
Is 69004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (69004 ÷ 2 = 34502) | 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 (69004 ÷ 4 = 17251) | 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 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 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 1) | 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 69004 a prime number?
No. 69004 = × 13 × 1327, so it is divisible by 2.
What are the factors of 69004?
1, 2, 4, 13, 26, 52, 1327, 2654, 5308, 17251, 34502, 69004.
What is 69004 in binary?
10000110110001100 (hexadecimal 10D8C, octal 206614).
What is the square root of 69004?
About 262.6861, exactly 2√17251.
Is 69004 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 69004?
69004 is a happy number: repeatedly adding the squares of its digits reaches 1.