The number 3901
3901 is a composite number with 4 divisors. Its prime factorisation is 47 × 83. Divisors (4): 1, 47, 83, 3901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3901: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 83, the product of two primes.
- 2
3901 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 3901 itself that is 131, so 3901 is deficient (131 is less than 3901). Euler's totient φ(3901) = 3772 numbers up to 3901 share no factor with it.
- 4
The digits of 3901 add up to 13, 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
\[ 3901 = 47 \times 83 \]
3901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 3772 |
| Square | 15217801 |
| Cube | 59364641701 |
| Square root | 62.457986 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 144 |
| Scientific notation | 3.901 × |
3901 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and one |
| Roman numerals | MMMCMI |
| Binary (base 2) | 111100111101 |
| Octal (base 8) | 7475 |
| Hexadecimal (base 16) | F3D |
| Base 3 | 12100111 |
| As time | 3901 seconds = 1 h 5 min 1 s |
Is 3901 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 1) | 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 | No (remainder 1) | 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 | No (remainder 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3901 a prime number?
No. 3901 = 47 × 83, so it is divisible by 47.
What are the factors of 3901?
1, 47, 83, 3901.
What is 3901 in binary?
111100111101 (hexadecimal F3D, octal 7475).
What is the square root of 3901?
About 62.4580.
What is 3901 in Roman numerals?
MMMCMI.
Is 3901 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3901?
3901 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 83, the product of two primes.