The number 5901
5901 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 281. Divisors (8): 1, 3, 7, 21, 281, 843, 1967, 5901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5901 is composite. Its prime factorisation is
- 3
The divisors add up to 9024; without 5901 itself that is 3123, so 5901 is deficient (3123 is less than 5901). Euler's totient φ(5901) = 3360 numbers up to 5901 share no factor with it.
- 4
The digits of 5901 add up to 15, 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
\[ 5901 = 3 \times 7 \times 281 \]
5901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9024 |
| Euler totient φ(n) | 3360 |
| Square | 34821801 |
| Cube | 205483447701 |
| Square root | 76.817967 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.901 × |
5901 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and one |
| Binary (base 2) | 1011100001101 |
| Octal (base 8) | 13415 |
| Hexadecimal (base 16) | 170D |
| Base 3 | 22002120 |
| As time | 5901 seconds = 1 h 38 min 21 s |
Is 5901 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 (5901 ÷ 3 = 1967) | 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 | Yes (5901 ÷ 7 = 843) | 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 5) | 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 5901 a prime number?
No. 5901 = 3 × 7 × 281, so it is divisible by 3.
What are the factors of 5901?
1, 3, 7, 21, 281, 843, 1967, 5901.
What is 5901 in binary?
1011100001101 (hexadecimal 170D, octal 13415).
What is the square root of 5901?
About 76.8180.
Is 5901 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5901?
It is a composite number with 8 divisors.