The number 3955
3955 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 113. Divisors (8): 1, 5, 7, 35, 113, 565, 791, 3955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3955 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 3955 itself that is 1517, so 3955 is deficient (1517 is less than 3955). Euler's totient φ(3955) = 2688 numbers up to 3955 share no factor with it.
- 4
The digits of 3955 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3955 = 5 \times 7 \times 113 \]
3955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 2688 |
| Square | 15642025 |
| Cube | 61864208875 |
| Square root | 62.888791 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 144 |
| Scientific notation | 3.955 × |
3955 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and fifty-five |
| Roman numerals | MMMCMLV |
| Binary (base 2) | 111101110011 |
| Octal (base 8) | 7563 |
| Hexadecimal (base 16) | F73 |
| Base 3 | 12102111 |
| As time | 3955 seconds = 1 h 5 min 55 s |
Is 3955 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 | No (remainder 1) | 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 (3955 ÷ 5 = 791) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3955 ÷ 7 = 565) | 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 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3955 a prime number?
No. 3955 = 5 × 7 × 113, so it is divisible by 5.
What are the factors of 3955?
1, 5, 7, 35, 113, 565, 791, 3955.
What is 3955 in binary?
111101110011 (hexadecimal F73, octal 7563).
What is the square root of 3955?
About 62.8888.
What is 3955 in Roman numerals?
MMMCMLV.
Is 3955 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3955?
It is a composite number with 8 divisors.