The number 55408
55408 is a composite number with 10 divisors. Its prime factorisation is × 3463. Divisors (10): 1, 2, 4, 8, 16, 3463, 6926, 13852, 27704, 55408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55408: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55408 is composite. Its prime factorisation is
- 3
The divisors add up to 107384; without 55408 itself that is 51976, so 55408 is deficient (51976 is less than 55408). Euler's totient φ(55408) = 27696 numbers up to 55408 share no factor with it.
- 4
The digits of 55408 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55408 = 2^{4} \times 3463 \]55408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 107384 |
| Euler totient φ(n) | 27696 |
| Square | 3070046464 |
| Cube | 170105134477312 |
| Square root | 235.389040 (= 4√3463) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5408 × |
55408 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and eight |
| Binary (base 2) | 1101100001110000 |
| Octal (base 8) | 154160 |
| Hexadecimal (base 16) | D870 |
| Base 3 | 2211000011 |
| As time | 55408 seconds = 15 h 23 min 28 s |
Is 55408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55408 ÷ 2 = 27704) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55408 ÷ 4 = 13852) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (55408 ÷ 8 = 6926) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55408 a prime number?
No. 55408 = × 3463, so it is divisible by 2.
What are the factors of 55408?
1, 2, 4, 8, 16, 3463, 6926, 13852, 27704, 55408.
What is 55408 in binary?
1101100001110000 (hexadecimal D870, octal 154160).
What is the square root of 55408?
About 235.3890, exactly 4√3463.
Is 55408 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55408?
55408 is a happy number: repeatedly adding the squares of its digits reaches 1.