The number 3501
3501 is a composite number with 6 divisors. Its prime factorisation is × 389. Divisors (6): 1, 3, 9, 389, 1167, 3501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3501: a Harshad number: divisible by its digit sum 9.
- 2
3501 is composite. Its prime factorisation is
- 3
The divisors add up to 5070; without 3501 itself that is 1569, so 3501 is deficient (1569 is less than 3501). Euler's totient φ(3501) = 2328 numbers up to 3501 share no factor with it.
- 4
The digits of 3501 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3501 = 3^{2} \times 389 \]3501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5070 |
| Euler totient φ(n) | 2328 |
| Square | 12257001 |
| Cube | 42911760501 |
| Square root | 59.169249 (= 3√389) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.501 × |
3501 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and one |
| Roman numerals | MMMDI |
| Binary (base 2) | 110110101101 |
| Octal (base 8) | 6655 |
| Hexadecimal (base 16) | DAD |
| Base 3 | 11210200 |
| As time | 3501 seconds = 58 min 21 s |
Is 3501 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 (3501 ÷ 3 = 1167) | 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 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3501 ÷ 9 = 389) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3501 a prime number?
No. 3501 = × 389, so it is divisible by 3.
What are the factors of 3501?
1, 3, 9, 389, 1167, 3501.
What is 3501 in binary?
110110101101 (hexadecimal DAD, octal 6655).
What is the square root of 3501?
About 59.1692, exactly 3√389.
What is 3501 in Roman numerals?
MMMDI.
Is 3501 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3501?
3501 is a Harshad number: divisible by its digit sum 9.