The number 55416
55416 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2309. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2309, 4618, 6927, 9236, 13854, 18472, 27708, 55416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55416: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55416 is composite. Its prime factorisation is
- 3
The divisors add up to 138600; without 55416 itself that is 83184, so 55416 is abundant (83184 is more than 55416). Euler's totient φ(55416) = 18464 numbers up to 55416 share no factor with it.
- 4
The digits of 55416 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55416 = 2^{3} \times 3 \times 2309 \]55416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138600 |
| Euler totient φ(n) | 18464 |
| Square | 3070933056 |
| Cube | 170178826231296 |
| Square root | 235.406032 (= 2√13854) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5416 × |
55416 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and sixteen |
| Binary (base 2) | 1101100001111000 |
| Octal (base 8) | 154170 |
| Hexadecimal (base 16) | D878 |
| Base 3 | 2211000110 |
| As time | 55416 seconds = 15 h 23 min 36 s |
Is 55416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55416 ÷ 2 = 27708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55416 ÷ 3 = 18472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55416 ÷ 4 = 13854) | 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 (55416 ÷ 6 = 9236) | 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 (55416 ÷ 8 = 6927) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55416 ÷ 12 = 4618) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55416 a prime number?
No. 55416 = × 3 × 2309, so it is divisible by 2.
What are the factors of 55416?
1, 2, 3, 4, 6, 8, 12, 24, 2309, 4618, 6927, 9236, 13854, 18472, 27708, 55416.
What is 55416 in binary?
1101100001111000 (hexadecimal D878, octal 154170).
What is the square root of 55416?
About 235.4060, exactly 2√13854.
Is 55416 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55416?
55416 is a happy number: repeatedly adding the squares of its digits reaches 1.