The number 89004
89004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7417. Divisors (12): 1, 2, 3, 4, 6, 12, 7417, 14834, 22251, 29668, 44502, 89004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89004 is composite. Its prime factorisation is
- 3
The divisors add up to 207704; without 89004 itself that is 118700, so 89004 is abundant (118700 is more than 89004). Euler's totient φ(89004) = 29664 numbers up to 89004 share no factor with it.
- 4
The digits of 89004 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89004 = 2^{2} \times 3 \times 7417 \]89004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 207704 |
| Euler totient φ(n) | 29664 |
| Square | 7921712016 |
| Cube | 705064056272064 |
| Square root | 298.335382 (= 2√22251) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9004 × |
89004 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and four |
| Binary (base 2) | 10101101110101100 |
| Octal (base 8) | 255654 |
| Hexadecimal (base 16) | 15BAC |
| Base 3 | 11112002110 |
| As time | 89004 seconds = 24 h 43 min 24 s |
Is 89004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89004 ÷ 2 = 44502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89004 ÷ 3 = 29668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (89004 ÷ 4 = 22251) | 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 | Yes (89004 ÷ 6 = 14834) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 | Yes (89004 ÷ 12 = 7417) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89004 a prime number?
No. 89004 = × 3 × 7417, so it is divisible by 2.
What are the factors of 89004?
1, 2, 3, 4, 6, 12, 7417, 14834, 22251, 29668, 44502, 89004.
What is 89004 in binary?
10101101110101100 (hexadecimal 15BAC, octal 255654).
What is the square root of 89004?
About 298.3354, exactly 2√22251.
Is 89004 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 89004?
It is a composite number with 12 divisors.