The number 3513
3513 is a composite number with 4 divisors. Its prime factorisation is 3 × 1171. Divisors (4): 1, 3, 1171, 3513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3513: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1171, the product of two primes.
- 2
3513 is composite. Its prime factorisation is
- 3
The divisors add up to 4688; without 3513 itself that is 1175, so 3513 is deficient (1175 is less than 3513). Euler's totient φ(3513) = 2340 numbers up to 3513 share no factor with it.
- 4
The digits of 3513 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3513 = 3 \times 1171 \]
3513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4688 |
| Euler totient φ(n) | 2340 |
| Square | 12341169 |
| Cube | 43354526697 |
| Square root | 59.270566 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.513 × |
3513 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and thirteen |
| Roman numerals | MMMDXIII |
| Binary (base 2) | 110110111001 |
| Octal (base 8) | 6671 |
| Hexadecimal (base 16) | DB9 |
| Base 3 | 11211010 |
| As time | 3513 seconds = 58 min 33 s |
Is 3513 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 (3513 ÷ 3 = 1171) | 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 3) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3513 a prime number?
No. 3513 = 3 × 1171, so it is divisible by 3.
What are the factors of 3513?
1, 3, 1171, 3513.
What is 3513 in binary?
110110111001 (hexadecimal DB9, octal 6671).
What is the square root of 3513?
About 59.2706.
What is 3513 in Roman numerals?
MMMDXIII.
Is 3513 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3513?
3513 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1171, the product of two primes.