The number 5955
5955 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 397. Divisors (8): 1, 3, 5, 15, 397, 1191, 1985, 5955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5955 is composite. Its prime factorisation is
- 3
The divisors add up to 9552; without 5955 itself that is 3597, so 5955 is deficient (3597 is less than 5955). Euler's totient φ(5955) = 3168 numbers up to 5955 share no factor with it.
- 4
The digits of 5955 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5955 = 3 \times 5 \times 397 \]
5955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9552 |
| Euler totient φ(n) | 3168 |
| Square | 35462025 |
| Cube | 211176358875 |
| Square root | 77.168646 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.955 × |
5955 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and fifty-five |
| Binary (base 2) | 1011101000011 |
| Octal (base 8) | 13503 |
| Hexadecimal (base 16) | 1743 |
| Base 3 | 22011120 |
| As time | 5955 seconds = 1 h 39 min 15 s |
Is 5955 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 (5955 ÷ 3 = 1985) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5955 ÷ 5 = 1191) | 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 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5955 a prime number?
No. 5955 = 3 × 5 × 397, so it is divisible by 3.
What are the factors of 5955?
1, 3, 5, 15, 397, 1191, 1985, 5955.
What is 5955 in binary?
1011101000011 (hexadecimal 1743, octal 13503).
What is the square root of 5955?
About 77.1686.
Is 5955 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5955?
It is a composite number with 8 divisors.