The number 55965
55965 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 13 × 41. Divisors (32): 1, 3, 5, 7, 13, 15, 21, 35, 39, 41, 65, 91, 105, 123, 195, 205 … 55965.
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How to work it out
- 1
What is special about 55965: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55965 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 55965 itself that is 56931, so 55965 is abundant (56931 is more than 55965). Euler's totient φ(55965) = 23040 numbers up to 55965 share no factor with it.
- 4
The digits of 55965 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55965 = 3 \times 5 \times 7 \times 13 \times 41 \]
55965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 23040 |
| Square | 3132081225 |
| Cube | 175286925757125 |
| Square root | 236.569229 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5965 × |
55965 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and sixty-five |
| Binary (base 2) | 1101101010011101 |
| Octal (base 8) | 155235 |
| Hexadecimal (base 16) | DA9D |
| Base 3 | 2211202210 |
| As time | 55965 seconds = 15 h 32 min 45 s |
Is 55965 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55965 ÷ 3 = 18655) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55965 ÷ 5 = 11193) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55965 ÷ 7 = 7995) | 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 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55965 a prime number?
No. 55965 = 3 × 5 × 7 × 13 × 41, so it is divisible by 3.
What are the factors of 55965?
1, 3, 5, 7, 13, 15, 21, 35, 39, 41, 65, 91, 105, 123, 195, 205, 273, 287, 455, 533, 615, 861, 1365, 1435, 1599, 2665, 3731, 4305, 7995, 11193, 18655, 55965.
What is 55965 in binary?
1101101010011101 (hexadecimal DA9D, octal 155235).
What is the square root of 55965?
About 236.5692.
Is 55965 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55965?
55965 is a happy number: repeatedly adding the squares of its digits reaches 1.