The number 31441
31441 is a composite number with 4 divisors. Its prime factorisation is 23 × 1367. Divisors (4): 1, 23, 1367, 31441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31441: a semiprime: 23 × 1367, the product of two primes.
- 2
31441 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 31441 itself that is 1391, so 31441 is deficient (1391 is less than 31441). Euler's totient φ(31441) = 30052 numbers up to 31441 share no factor with it.
- 4
The digits of 31441 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31441 = 23 \times 1367 \]
31441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 30052 |
| Square | 988536481 |
| Cube | 31080575499121 |
| Square root | 177.316102 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1441 × |
31441 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and forty-one |
| Binary (base 2) | 111101011010001 |
| Octal (base 8) | 75321 |
| Hexadecimal (base 16) | 7AD1 |
| Base 3 | 1121010111 |
| As time | 31441 seconds = 8 h 44 min 1 s |
Is 31441 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 4) | 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 1) | 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 3) | 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 31441 a prime number?
No. 31441 = 23 × 1367, so it is divisible by 23.
What are the factors of 31441?
1, 23, 1367, 31441.
What is 31441 in binary?
111101011010001 (hexadecimal 7AD1, octal 75321).
What is the square root of 31441?
About 177.3161.
Is 31441 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31441?
31441 is a semiprime: 23 × 1367, the product of two primes.