The number 53466
53466 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 19 × 67. Divisors (32): 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 67, 114, 133, 134, 201 … 53466.
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How to work it out
- 1
53466 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53466 is composite. Its prime factorisation is
- 3
The divisors add up to 130560; without 53466 itself that is 77094, so 53466 is abundant (77094 is more than 53466). Euler's totient φ(53466) = 14256 numbers up to 53466 share no factor with it.
- 4
The digits of 53466 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53466 = 2 \times 3 \times 7 \times 19 \times 67 \]
53466 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 130560 |
| Euler totient φ(n) | 14256 |
| Square | 2858613156 |
| Cube | 152838610998696 |
| Square root | 231.227161 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3466 × |
53466 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and sixty-six |
| Binary (base 2) | 1101000011011010 |
| Octal (base 8) | 150332 |
| Hexadecimal (base 16) | D0DA |
| Base 3 | 2201100020 |
| As time | 53466 seconds = 14 h 51 min 6 s |
Is 53466 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53466 ÷ 2 = 26733) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53466 ÷ 3 = 17822) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53466 ÷ 6 = 8911) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53466 ÷ 7 = 7638) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53466 a prime number?
No. 53466 = 2 × 3 × 7 × 19 × 67, so it is divisible by 2.
What are the factors of 53466?
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 67, 114, 133, 134, 201, 266, 399, 402, 469, 798, 938, 1273, 1407, 2546, 2814, 3819, 7638, 8911, 17822, 26733, 53466.
What is 53466 in binary?
1101000011011010 (hexadecimal D0DA, octal 150332).
What is the square root of 53466?
About 231.2272.
Is 53466 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53466?
It is a composite number with 32 divisors.