The number 55920
55920 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 233. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 55920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55920 is composite. Its prime factorisation is
- 3
The divisors add up to 174096; without 55920 itself that is 118176, so 55920 is abundant (118176 is more than 55920). Euler's totient φ(55920) = 14848 numbers up to 55920 share no factor with it.
- 4
The digits of 55920 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55920 = 2^{4} \times 3 \times 5 \times 233 \]55920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 174096 |
| Euler totient φ(n) | 14848 |
| Square | 3127046400 |
| Cube | 174864434688000 |
| Square root | 236.474100 (= 4√3495) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.592 × |
55920 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and twenty |
| Binary (base 2) | 1101101001110000 |
| Octal (base 8) | 155160 |
| Hexadecimal (base 16) | DA70 |
| Base 3 | 2211201010 |
| As time | 55920 seconds = 15 h 32 min 0 s |
Is 55920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55920 ÷ 2 = 27960) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55920 ÷ 3 = 18640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55920 ÷ 4 = 13980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55920 ÷ 5 = 11184) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55920 ÷ 6 = 9320) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (55920 ÷ 8 = 6990) | 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 | Yes (55920 ÷ 10 = 5592) | 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 (55920 ÷ 12 = 4660) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55920 a prime number?
No. 55920 = × 3 × 5 × 233, so it is divisible by 2.
What are the factors of 55920?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 233, 240, 466, 699, 932, 1165, 1398, 1864, 2330, 2796, 3495, 3728, 4660, 5592, 6990, 9320, 11184, 13980, 18640, 27960, 55920.
What is 55920 in binary?
1101101001110000 (hexadecimal DA70, octal 155160).
What is the square root of 55920?
About 236.4741, exactly 4√3495.
Is 55920 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55920?
It is a composite number with 40 divisors.