The number 3500
3500 is a composite number with 24 divisors. Its prime factorisation is × × 7. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140 … 3500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3500 is composite. Its prime factorisation is
- 3
The divisors add up to 8736; without 3500 itself that is 5236, so 3500 is abundant (5236 is more than 3500). Euler's totient φ(3500) = 1200 numbers up to 3500 share no factor with it.
- 4
The digits of 3500 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3500 = 2^{2} \times 5^{3} \times 7 \]3500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8736 |
| Euler totient φ(n) | 1200 |
| Square | 12250000 |
| Cube | 42875000000 |
| Square root | 59.160798 (= 10√35) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.5 × |
3500 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred |
| Roman numerals | MMMD |
| Binary (base 2) | 110110101100 |
| Octal (base 8) | 6654 |
| Hexadecimal (base 16) | DAC |
| Base 3 | 11210122 |
| As time | 3500 seconds = 58 min 20 s |
Is 3500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3500 ÷ 2 = 1750) | 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 | Yes (3500 ÷ 4 = 875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3500 ÷ 5 = 700) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3500 ÷ 7 = 500) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3500 ÷ 10 = 350) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3500 a prime number?
No. 3500 = × × 7, so it is divisible by 2.
What are the factors of 3500?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500.
What is 3500 in binary?
110110101100 (hexadecimal DAC, octal 6654).
What is the square root of 3500?
About 59.1608, exactly 10√35.
What is 3500 in Roman numerals?
MMMD.
Is 3500 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3500?
It is a composite number with 24 divisors.