The number 3465
3465 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 11. Divisors (24): 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105 … 3465.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3465: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3465 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 3465 itself that is 4023, so 3465 is abundant (4023 is more than 3465). Euler's totient φ(3465) = 1440 numbers up to 3465 share no factor with it.
- 4
The digits of 3465 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3465 = 3^{2} \times 5 \times 7 \times 11 \]3465 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 1440 |
| Square | 12006225 |
| Cube | 41601569625 |
| Square root | 58.864251 (= 3√385) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.465 × |
3465 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-five |
| Roman numerals | MMMCDLXV |
| Binary (base 2) | 110110001001 |
| Octal (base 8) | 6611 |
| Hexadecimal (base 16) | D89 |
| Base 3 | 11202100 |
| As time | 3465 seconds = 57 min 45 s |
Is 3465 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 (3465 ÷ 3 = 1155) | 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 | Yes (3465 ÷ 5 = 693) | 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 | Yes (3465 ÷ 7 = 495) | 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 | Yes (3465 ÷ 9 = 385) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3465 ÷ 11 = 315) | 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 3465 a prime number?
No. 3465 = × 5 × 7 × 11, so it is divisible by 3.
What are the factors of 3465?
1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465.
What is 3465 in binary?
110110001001 (hexadecimal D89, octal 6611).
What is the square root of 3465?
About 58.8643, exactly 3√385.
What is 3465 in Roman numerals?
MMMCDLXV.
Is 3465 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3465?
3465 is a happy number: repeatedly adding the squares of its digits reaches 1.