The number 55392
55392 is a composite number with 24 divisors. Its prime factorisation is × 3 × 577. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 577, 1154, 1731, 2308 … 55392.
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How to work it out
- 1
What is special about 55392: a Harshad number: divisible by its digit sum 24.
- 2
55392 is composite. Its prime factorisation is
- 3
The divisors add up to 145656; without 55392 itself that is 90264, so 55392 is abundant (90264 is more than 55392). Euler's totient φ(55392) = 18432 numbers up to 55392 share no factor with it.
- 4
The digits of 55392 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55392 = 2^{5} \times 3 \times 577 \]55392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145656 |
| Euler totient φ(n) | 18432 |
| Square | 3068273664 |
| Cube | 169957814796288 |
| Square root | 235.355051 (= 4√3462) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5392 × |
55392 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and ninety-two |
| Binary (base 2) | 1101100001100000 |
| Octal (base 8) | 154140 |
| Hexadecimal (base 16) | D860 |
| Base 3 | 2210222120 |
| As time | 55392 seconds = 15 h 23 min 12 s |
Is 55392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55392 ÷ 2 = 27696) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55392 ÷ 3 = 18464) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55392 ÷ 4 = 13848) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55392 ÷ 6 = 9232) | 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 | Yes (55392 ÷ 8 = 6924) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55392 ÷ 12 = 4616) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55392 a prime number?
No. 55392 = × 3 × 577, so it is divisible by 2.
What are the factors of 55392?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 577, 1154, 1731, 2308, 3462, 4616, 6924, 9232, 13848, 18464, 27696, 55392.
What is 55392 in binary?
1101100001100000 (hexadecimal D860, octal 154140).
What is the square root of 55392?
About 235.3551, exactly 4√3462.
Is 55392 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55392?
55392 is a Harshad number: divisible by its digit sum 24.