The number 3502
3502 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 103. Divisors (8): 1, 2, 17, 34, 103, 206, 1751, 3502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3502 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3502 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 3502 itself that is 2114, so 3502 is deficient (2114 is less than 3502). Euler's totient φ(3502) = 1632 numbers up to 3502 share no factor with it.
- 4
The digits of 3502 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3502 = 2 \times 17 \times 103 \]
3502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 1632 |
| Square | 12264004 |
| Cube | 42948542008 |
| Square root | 59.177699 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.502 × |
3502 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and two |
| Roman numerals | MMMDII |
| Binary (base 2) | 110110101110 |
| Octal (base 8) | 6656 |
| Hexadecimal (base 16) | DAE |
| Base 3 | 11210201 |
| As time | 3502 seconds = 58 min 22 s |
Is 3502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3502 ÷ 2 = 1751) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3502 a prime number?
No. 3502 = 2 × 17 × 103, so it is divisible by 2.
What are the factors of 3502?
1, 2, 17, 34, 103, 206, 1751, 3502.
What is 3502 in binary?
110110101110 (hexadecimal DAE, octal 6656).
What is the square root of 3502?
About 59.1777.
What is 3502 in Roman numerals?
MMMDII.
Is 3502 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3502?
It is a composite number with 8 divisors.