The number 2642
2642 is a composite number with 4 divisors. Its prime factorisation is 2 × 1321. Divisors (4): 1, 2, 1321, 2642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2642: a semiprime: 2 × 1321, the product of two primes.
- 2
2642 is composite. Its prime factorisation is
- 3
The divisors add up to 3966; without 2642 itself that is 1324, so 2642 is deficient (1324 is less than 2642). Euler's totient φ(2642) = 1320 numbers up to 2642 share no factor with it.
- 4
The digits of 2642 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2642 = 2 \times 1321 \]
2642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3966 |
| Euler totient φ(n) | 1320 |
| Square | 6980164 |
| Cube | 18441593288 |
| Square root | 51.400389 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 102 |
| Scientific notation | 2.642 × |
2642 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and forty-two |
| Roman numerals | MMDCXLII |
| Binary (base 2) | 101001010010 |
| Octal (base 8) | 5122 |
| Hexadecimal (base 16) | A52 |
| Base 3 | 10121212 |
| As time | 2642 seconds = 44 min 2 s |
Is 2642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2642 ÷ 2 = 1321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2642 a prime number?
No. 2642 = 2 × 1321, so it is divisible by 2.
What are the factors of 2642?
1, 2, 1321, 2642.
What is 2642 in binary?
101001010010 (hexadecimal A52, octal 5122).
What is the square root of 2642?
About 51.4004.
What is 2642 in Roman numerals?
MMDCXLII.
Is 2642 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2642?
2642 is a semiprime: 2 × 1321, the product of two primes.