The number 52464
52464 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1093. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1093, 2186, 3279, 4372, 6558, 8744 … 52464.
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How to work it out
- 1
What is special about 52464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52464 is composite. Its prime factorisation is
- 3
The divisors add up to 135656; without 52464 itself that is 83192, so 52464 is abundant (83192 is more than 52464). Euler's totient φ(52464) = 17472 numbers up to 52464 share no factor with it.
- 4
The digits of 52464 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52464 = 2^{4} \times 3 \times 1093 \]52464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 135656 |
| Euler totient φ(n) | 17472 |
| Square | 2752471296 |
| Cube | 144405654073344 |
| Square root | 229.050213 (= 4√3279) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.2464 × |
52464 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and sixty-four |
| Binary (base 2) | 1100110011110000 |
| Octal (base 8) | 146360 |
| Hexadecimal (base 16) | CCF0 |
| Base 3 | 2122222010 |
| As time | 52464 seconds = 14 h 34 min 24 s |
Is 52464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52464 ÷ 2 = 26232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52464 ÷ 3 = 17488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52464 ÷ 4 = 13116) | 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 (52464 ÷ 6 = 8744) | 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 | Yes (52464 ÷ 8 = 6558) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52464 ÷ 12 = 4372) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52464 a prime number?
No. 52464 = × 3 × 1093, so it is divisible by 2.
What are the factors of 52464?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1093, 2186, 3279, 4372, 6558, 8744, 13116, 17488, 26232, 52464.
What is 52464 in binary?
1100110011110000 (hexadecimal CCF0, octal 146360).
What is the square root of 52464?
About 229.0502, exactly 4√3279.
Is 52464 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 52464?
52464 is a happy number: repeatedly adding the squares of its digits reaches 1.