The number 90004
90004 is a composite number with 6 divisors. Its prime factorisation is × 22501. Divisors (6): 1, 2, 4, 22501, 45002, 90004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90004: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
90004 is composite. Its prime factorisation is
- 3
The divisors add up to 157514; without 90004 itself that is 67510, so 90004 is deficient (67510 is less than 90004). Euler's totient φ(90004) = 45000 numbers up to 90004 share no factor with it.
- 4
The digits of 90004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90004 = 2^{2} \times 22501 \]90004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 157514 |
| Euler totient φ(n) | 45000 |
| Square | 8100720016 |
| Cube | 729097204320064 |
| Square root | 300.006667 (= 2√22501) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.0004 × |
90004 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and four |
| Binary (base 2) | 10101111110010100 |
| Octal (base 8) | 257624 |
| Hexadecimal (base 16) | 15F94 |
| Base 3 | 11120110111 |
| As time | 90004 seconds = 25 h 0 min 4 s |
Is 90004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90004 ÷ 2 = 45002) | 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 (90004 ÷ 4 = 22501) | 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 4) | 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 2) | 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 90004 a prime number?
No. 90004 = × 22501, so it is divisible by 2.
What are the factors of 90004?
1, 2, 4, 22501, 45002, 90004.
What is 90004 in binary?
10101111110010100 (hexadecimal 15F94, octal 257624).
What is the square root of 90004?
About 300.0067, exactly 2√22501.
Is 90004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 90004?
90004 is a happy number: repeatedly adding the squares of its digits reaches 1.