The number 62004
62004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5167. Divisors (12): 1, 2, 3, 4, 6, 12, 5167, 10334, 15501, 20668, 31002, 62004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62004: a Harshad number: divisible by its digit sum 12.
- 2
62004 is composite. Its prime factorisation is
- 3
The divisors add up to 144704; without 62004 itself that is 82700, so 62004 is abundant (82700 is more than 62004). Euler's totient φ(62004) = 20664 numbers up to 62004 share no factor with it.
- 4
The digits of 62004 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62004 = 2^{2} \times 3 \times 5167 \]62004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 144704 |
| Euler totient φ(n) | 20664 |
| Square | 3844496016 |
| Cube | 238374130976064 |
| Square root | 249.006024 (= 2√15501) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.2004 × |
62004 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and four |
| Binary (base 2) | 1111001000110100 |
| Octal (base 8) | 171064 |
| Hexadecimal (base 16) | F234 |
| Base 3 | 10011001110 |
| As time | 62004 seconds = 17 h 13 min 24 s |
Is 62004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62004 ÷ 2 = 31002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62004 ÷ 3 = 20668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62004 ÷ 4 = 15501) | 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 (62004 ÷ 6 = 10334) | 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 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (62004 ÷ 12 = 5167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62004 a prime number?
No. 62004 = × 3 × 5167, so it is divisible by 2.
What are the factors of 62004?
1, 2, 3, 4, 6, 12, 5167, 10334, 15501, 20668, 31002, 62004.
What is 62004 in binary?
1111001000110100 (hexadecimal F234, octal 171064).
What is the square root of 62004?
About 249.0060, exactly 2√15501.
Is 62004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 62004?
62004 is a Harshad number: divisible by its digit sum 12.