The number 53004
53004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 631. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 631, 1262, 1893, 2524 … 53004.
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How to work it out
- 1
What is special about 53004: a Harshad number: divisible by its digit sum 12.
- 2
53004 is composite. Its prime factorisation is
- 3
The divisors add up to 141568; without 53004 itself that is 88564, so 53004 is abundant (88564 is more than 53004). Euler's totient φ(53004) = 15120 numbers up to 53004 share no factor with it.
- 4
The digits of 53004 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53004 = 2^{2} \times 3 \times 7 \times 631 \]53004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141568 |
| Euler totient φ(n) | 15120 |
| Square | 2809424016 |
| Cube | 148910710544064 |
| Square root | 230.225976 (= 2√13251) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3004 × |
53004 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand and four |
| Binary (base 2) | 1100111100001100 |
| Octal (base 8) | 147414 |
| Hexadecimal (base 16) | CF0C |
| Base 3 | 2200201010 |
| As time | 53004 seconds = 14 h 43 min 24 s |
Is 53004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53004 ÷ 2 = 26502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53004 ÷ 3 = 17668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53004 ÷ 4 = 13251) | 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 (53004 ÷ 6 = 8834) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53004 ÷ 7 = 7572) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53004 ÷ 12 = 4417) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53004 a prime number?
No. 53004 = × 3 × 7 × 631, so it is divisible by 2.
What are the factors of 53004?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 631, 1262, 1893, 2524, 3786, 4417, 7572, 8834, 13251, 17668, 26502, 53004.
What is 53004 in binary?
1100111100001100 (hexadecimal CF0C, octal 147414).
What is the square root of 53004?
About 230.2260, exactly 2√13251.
Is 53004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 53004?
53004 is a Harshad number: divisible by its digit sum 12.