The number 31032
31032 is a composite number with 24 divisors. Its prime factorisation is × × 431. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 431, 862, 1293, 1724 … 31032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31032: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
31032 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 31032 itself that is 53208, so 31032 is abundant (53208 is more than 31032). Euler's totient φ(31032) = 10320 numbers up to 31032 share no factor with it.
- 4
The digits of 31032 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
\[ 31032 = 2^{3} \times 3^{2} \times 431 \]31032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 10320 |
| Square | 962985024 |
| Cube | 29883351264768 |
| Square root | 176.159019 (= 6√862) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1032 × |
31032 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and thirty-two |
| Binary (base 2) | 111100100111000 |
| Octal (base 8) | 74470 |
| Hexadecimal (base 16) | 7938 |
| Base 3 | 1120120100 |
| As time | 31032 seconds = 8 h 37 min 12 s |
Is 31032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31032 ÷ 2 = 15516) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31032 ÷ 3 = 10344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31032 ÷ 4 = 7758) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31032 ÷ 6 = 5172) | 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 | Yes (31032 ÷ 8 = 3879) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31032 ÷ 9 = 3448) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (31032 ÷ 12 = 2586) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31032 a prime number?
No. 31032 = × × 431, so it is divisible by 2.
What are the factors of 31032?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 431, 862, 1293, 1724, 2586, 3448, 3879, 5172, 7758, 10344, 15516, 31032.
What is 31032 in binary?
111100100111000 (hexadecimal 7938, octal 74470).
What is the square root of 31032?
About 176.1590, exactly 6√862.
Is 31032 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31032?
31032 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.