The number 55908
55908 is a composite number with 18 divisors. Its prime factorisation is × × 1553. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1553, 3106, 4659, 6212, 9318, 13977, 18636 … 55908.
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How to work it out
- 1
55908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55908 is composite. Its prime factorisation is
- 3
The divisors add up to 141414; without 55908 itself that is 85506, so 55908 is abundant (85506 is more than 55908). Euler's totient φ(55908) = 18624 numbers up to 55908 share no factor with it.
- 4
The digits of 55908 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55908 = 2^{2} \times 3^{2} \times 1553 \]55908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 141414 |
| Euler totient φ(n) | 18624 |
| Square | 3125704464 |
| Cube | 174751885173312 |
| Square root | 236.448726 (= 6√1553) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5908 × |
55908 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and eight |
| Binary (base 2) | 1101101001100100 |
| Octal (base 8) | 155144 |
| Hexadecimal (base 16) | DA64 |
| Base 3 | 2211200200 |
| As time | 55908 seconds = 15 h 31 min 48 s |
Is 55908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55908 ÷ 2 = 27954) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55908 ÷ 3 = 18636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55908 ÷ 4 = 13977) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55908 ÷ 6 = 9318) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55908 ÷ 9 = 6212) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (55908 ÷ 12 = 4659) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55908 a prime number?
No. 55908 = × × 1553, so it is divisible by 2.
What are the factors of 55908?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1553, 3106, 4659, 6212, 9318, 13977, 18636, 27954, 55908.
What is 55908 in binary?
1101101001100100 (hexadecimal DA64, octal 155144).
What is the square root of 55908?
About 236.4487, exactly 6√1553.
Is 55908 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55908?
It is a composite number with 18 divisors.