The number 55960
55960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1399. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1399, 2798, 5596, 6995, 11192, 13990, 27980, 55960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55960: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55960 is composite. Its prime factorisation is
- 3
The divisors add up to 126000; without 55960 itself that is 70040, so 55960 is abundant (70040 is more than 55960). Euler's totient φ(55960) = 22368 numbers up to 55960 share no factor with it.
- 4
The digits of 55960 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55960 = 2^{3} \times 5 \times 1399 \]55960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126000 |
| Euler totient φ(n) | 22368 |
| Square | 3131521600 |
| Cube | 175239948736000 |
| Square root | 236.558661 (= 2√13990) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.596 × |
55960 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and sixty |
| Binary (base 2) | 1101101010011000 |
| Octal (base 8) | 155230 |
| Hexadecimal (base 16) | DA98 |
| Base 3 | 2211202121 |
| As time | 55960 seconds = 15 h 32 min 40 s |
Is 55960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55960 ÷ 2 = 27980) | 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 (55960 ÷ 4 = 13990) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55960 ÷ 5 = 11192) | 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 2) | 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 (55960 ÷ 8 = 6995) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55960 ÷ 10 = 5596) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 55960 a prime number?
No. 55960 = × 5 × 1399, so it is divisible by 2.
What are the factors of 55960?
1, 2, 4, 5, 8, 10, 20, 40, 1399, 2798, 5596, 6995, 11192, 13990, 27980, 55960.
What is 55960 in binary?
1101101010011000 (hexadecimal DA98, octal 155230).
What is the square root of 55960?
About 236.5587, exactly 2√13990.
Is 55960 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55960?
55960 is a happy number: repeatedly adding the squares of its digits reaches 1.