The number 31248
31248 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 31. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31 … 31248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31248: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
31248 is composite. Its prime factorisation is
- 3
The divisors add up to 103168; without 31248 itself that is 71920, so 31248 is abundant (71920 is more than 31248). Euler's totient φ(31248) = 8640 numbers up to 31248 share no factor with it.
- 4
The digits of 31248 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31248 = 2^{4} \times 3^{2} \times 7 \times 31 \]31248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 103168 |
| Euler totient φ(n) | 8640 |
| Square | 976437504 |
| Cube | 30511719124992 |
| Square root | 176.771038 (= 12√217) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1248 × |
31248 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and forty-eight |
| Binary (base 2) | 111101000010000 |
| Octal (base 8) | 75020 |
| Hexadecimal (base 16) | 7A10 |
| Base 3 | 1120212100 |
| As time | 31248 seconds = 8 h 40 min 48 s |
Is 31248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31248 ÷ 2 = 15624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31248 ÷ 3 = 10416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31248 ÷ 4 = 7812) | 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 | Yes (31248 ÷ 6 = 5208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31248 ÷ 7 = 4464) | 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 (31248 ÷ 8 = 3906) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31248 ÷ 9 = 3472) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31248 ÷ 12 = 2604) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31248 a prime number?
No. 31248 = × × 7 × 31, so it is divisible by 2.
What are the factors of 31248?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 31, 36, 42, 48, 56, 62, 63, 72, 84, 93, 112, 124, 126, 144, 168, 186, 217, 248, 252, 279, 336, 372, 434, 496, 504, 558, 651, 744, 868, 1008, 1116, 1302, 1488, 1736, 1953, 2232, 2604, 3472, 3906, 4464, 5208, 7812, 10416, 15624, 31248.
What is 31248 in binary?
111101000010000 (hexadecimal 7A10, octal 75020).
What is the square root of 31248?
About 176.7710, exactly 12√217.
Is 31248 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31248?
31248 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.