The number 2652
2652 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 17. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102 … 2652.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2652 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2652 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 2652 itself that is 4404, so 2652 is abundant (4404 is more than 2652). Euler's totient φ(2652) = 768 numbers up to 2652 share no factor with it.
- 4
The digits of 2652 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2652 = 2^{2} \times 3 \times 13 \times 17 \]2652 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 768 |
| Square | 7033104 |
| Cube | 18651791808 |
| Square root | 51.497573 (= 2√663) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.652 × |
2652 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and fifty-two |
| Roman numerals | MMDCLII |
| Binary (base 2) | 101001011100 |
| Octal (base 8) | 5134 |
| Hexadecimal (base 16) | A5C |
| Base 3 | 10122020 |
| As time | 2652 seconds = 44 min 12 s |
Is 2652 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2652 ÷ 2 = 1326) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2652 ÷ 3 = 884) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2652 ÷ 4 = 663) | 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 | Yes (2652 ÷ 6 = 442) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2652 ÷ 12 = 221) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2652 a prime number?
No. 2652 = × 3 × 13 × 17, so it is divisible by 2.
What are the factors of 2652?
1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652.
What is 2652 in binary?
101001011100 (hexadecimal A5C, octal 5134).
What is the square root of 2652?
About 51.4976, exactly 2√663.
What is 2652 in Roman numerals?
MMDCLII.
Is 2652 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2652?
It is a composite number with 24 divisors.