The number 31901
31901 is a composite number with 8 divisors. Its prime factorisation is 19 × 23 × 73. Divisors (8): 1, 19, 23, 73, 437, 1387, 1679, 31901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31901 is composite. Its prime factorisation is
- 3
The divisors add up to 35520; without 31901 itself that is 3619, so 31901 is deficient (3619 is less than 31901). Euler's totient φ(31901) = 28512 numbers up to 31901 share no factor with it.
- 4
The digits of 31901 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31901 = 19 \times 23 \times 73 \]
31901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35520 |
| Euler totient φ(n) | 28512 |
| Square | 1017673801 |
| Cube | 32464811925701 |
| Square root | 178.608510 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1901 × |
31901 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and one |
| Binary (base 2) | 111110010011101 |
| Octal (base 8) | 76235 |
| Hexadecimal (base 16) | 7C9D |
| Base 3 | 1121202112 |
| As time | 31901 seconds = 8 h 51 min 41 s |
Is 31901 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 2) | 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 5) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31901 a prime number?
No. 31901 = 19 × 23 × 73, so it is divisible by 19.
What are the factors of 31901?
1, 19, 23, 73, 437, 1387, 1679, 31901.
What is 31901 in binary?
111110010011101 (hexadecimal 7C9D, octal 76235).
What is the square root of 31901?
About 178.6085.
Is 31901 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31901?
It is a composite number with 8 divisors.