The number 59004
59004 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 149. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132 … 59004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59004: a Harshad number: divisible by its digit sum 18.
- 2
59004 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 59004 itself that is 104796, so 59004 is abundant (104796 is more than 59004). Euler's totient φ(59004) = 17760 numbers up to 59004 share no factor with it.
- 4
The digits of 59004 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59004 = 2^{2} \times 3^{2} \times 11 \times 149 \]59004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 17760 |
| Square | 3481472016 |
| Cube | 205420774832064 |
| Square root | 242.907390 (= 6√1639) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.9004 × |
59004 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and four |
| Binary (base 2) | 1110011001111100 |
| Octal (base 8) | 163174 |
| Hexadecimal (base 16) | E67C |
| Base 3 | 2222221100 |
| As time | 59004 seconds = 16 h 23 min 24 s |
Is 59004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59004 ÷ 2 = 29502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59004 ÷ 3 = 19668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59004 ÷ 4 = 14751) | 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 (59004 ÷ 6 = 9834) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59004 ÷ 9 = 6556) | 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 | Yes (59004 ÷ 11 = 5364) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59004 ÷ 12 = 4917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59004 a prime number?
No. 59004 = × × 11 × 149, so it is divisible by 2.
What are the factors of 59004?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 149, 198, 298, 396, 447, 596, 894, 1341, 1639, 1788, 2682, 3278, 4917, 5364, 6556, 9834, 14751, 19668, 29502, 59004.
What is 59004 in binary?
1110011001111100 (hexadecimal E67C, octal 163174).
What is the square root of 59004?
About 242.9074, exactly 6√1639.
Is 59004 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 59004?
59004 is a Harshad number: divisible by its digit sum 18.