The number 2664
2664 is a composite number with 24 divisors. Its prime factorisation is × × 37. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148 … 2664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2664: a Harshad number: divisible by its digit sum 18.
- 2
2664 is composite. Its prime factorisation is
- 3
The divisors add up to 7410; without 2664 itself that is 4746, so 2664 is abundant (4746 is more than 2664). Euler's totient φ(2664) = 864 numbers up to 2664 share no factor with it.
- 4
The digits of 2664 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2664 = 2^{3} \times 3^{2} \times 37 \]2664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7410 |
| Euler totient φ(n) | 864 |
| Square | 7096896 |
| Cube | 18906130944 |
| Square root | 51.613952 (= 6√74) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.664 × |
2664 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and sixty-four |
| Roman numerals | MMDCLXIV |
| Binary (base 2) | 101001101000 |
| Octal (base 8) | 5150 |
| Hexadecimal (base 16) | A68 |
| Base 3 | 10122200 |
| As time | 2664 seconds = 44 min 24 s |
Is 2664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2664 ÷ 2 = 1332) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2664 ÷ 3 = 888) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2664 ÷ 4 = 666) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2664 ÷ 6 = 444) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (2664 ÷ 8 = 333) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2664 ÷ 9 = 296) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2664 ÷ 12 = 222) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2664 a prime number?
No. 2664 = × × 37, so it is divisible by 2.
What are the factors of 2664?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664.
What is 2664 in binary?
101001101000 (hexadecimal A68, octal 5150).
What is the square root of 2664?
About 51.6140, exactly 6√74.
What is 2664 in Roman numerals?
MMDCLXIV.
Is 2664 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2664?
2664 is a Harshad number: divisible by its digit sum 18.