The number 53901
53901 is a composite number with 12 divisors. Its prime factorisation is × 53 × 113. Divisors (12): 1, 3, 9, 53, 113, 159, 339, 477, 1017, 5989, 17967, 53901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53901 is composite. Its prime factorisation is
- 3
The divisors add up to 80028; without 53901 itself that is 26127, so 53901 is deficient (26127 is less than 53901). Euler's totient φ(53901) = 34944 numbers up to 53901 share no factor with it.
- 4
The digits of 53901 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53901 = 3^{2} \times 53 \times 113 \]53901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80028 |
| Euler totient φ(n) | 34944 |
| Square | 2905317801 |
| Cube | 156599534791701 |
| Square root | 232.165889 (= 3√5989) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3901 × |
53901 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and one |
| Binary (base 2) | 1101001010001101 |
| Octal (base 8) | 151215 |
| Hexadecimal (base 16) | D28D |
| Base 3 | 2201221100 |
| As time | 53901 seconds = 14 h 58 min 21 s |
Is 53901 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 (53901 ÷ 3 = 17967) | 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 1) | 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 | Yes (53901 ÷ 9 = 5989) | 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 1) | 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 53901 a prime number?
No. 53901 = × 53 × 113, so it is divisible by 3.
What are the factors of 53901?
1, 3, 9, 53, 113, 159, 339, 477, 1017, 5989, 17967, 53901.
What is 53901 in binary?
1101001010001101 (hexadecimal D28D, octal 151215).
What is the square root of 53901?
About 232.1659, exactly 3√5989.
Is 53901 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53901?
It is a composite number with 12 divisors.