The number 4101
4101 is a composite number with 4 divisors. Its prime factorisation is 3 × 1367. Divisors (4): 1, 3, 1367, 4101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4101: a semiprime: 3 × 1367, the product of two primes.
- 2
4101 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 4101 itself that is 1371, so 4101 is deficient (1371 is less than 4101). Euler's totient φ(4101) = 2732 numbers up to 4101 share no factor with it.
- 4
The digits of 4101 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4101 = 3 \times 1367 \]
4101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 2732 |
| Square | 16818201 |
| Cube | 68971442301 |
| Square root | 64.039051 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.101 × |
4101 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and one |
| Binary (base 2) | 1000000000101 |
| Octal (base 8) | 10005 |
| Hexadecimal (base 16) | 1005 |
| Base 3 | 12121220 |
| As time | 4101 seconds = 1 h 8 min 21 s |
Is 4101 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 (4101 ÷ 3 = 1367) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 9) | 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 4101 a prime number?
No. 4101 = 3 × 1367, so it is divisible by 3.
What are the factors of 4101?
1, 3, 1367, 4101.
What is 4101 in binary?
1000000000101 (hexadecimal 1005, octal 10005).
What is the square root of 4101?
About 64.0391.
Is 4101 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 4101?
4101 is a semiprime: 3 × 1367, the product of two primes.