The number 31023
31023 is a composite number with 10 divisors. Its prime factorisation is × 383. Divisors (10): 1, 3, 9, 27, 81, 383, 1149, 3447, 10341, 31023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31023: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
31023 is composite. Its prime factorisation is
- 3
The divisors add up to 46464; without 31023 itself that is 15441, so 31023 is deficient (15441 is less than 31023). Euler's totient φ(31023) = 20628 numbers up to 31023 share no factor with it.
- 4
The digits of 31023 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31023 = 3^{4} \times 383 \]31023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 46464 |
| Euler totient φ(n) | 20628 |
| Square | 962426529 |
| Cube | 29857358209167 |
| Square root | 176.133472 (= 9√383) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1023 × |
31023 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and twenty-three |
| Binary (base 2) | 111100100101111 |
| Octal (base 8) | 74457 |
| Hexadecimal (base 16) | 792F |
| Base 3 | 1120120000 |
| As time | 31023 seconds = 8 h 37 min 3 s |
Is 31023 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 (31023 ÷ 3 = 10341) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31023 ÷ 9 = 3447) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31023 a prime number?
No. 31023 = × 383, so it is divisible by 3.
What are the factors of 31023?
1, 3, 9, 27, 81, 383, 1149, 3447, 10341, 31023.
What is 31023 in binary?
111100100101111 (hexadecimal 792F, octal 74457).
What is the square root of 31023?
About 176.1335, exactly 9√383.
Is 31023 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31023?
31023 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.