The number 2402
2402 is a composite number with 4 divisors. Its prime factorisation is 2 × 1201. Divisors (4): 1, 2, 1201, 2402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2402: a semiprime: 2 × 1201, the product of two primes.
- 2
2402 is composite. Its prime factorisation is
- 3
The divisors add up to 3606; without 2402 itself that is 1204, so 2402 is deficient (1204 is less than 2402). Euler's totient φ(2402) = 1200 numbers up to 2402 share no factor with it.
- 4
The digits of 2402 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2402 = 2 \times 1201 \]
2402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3606 |
| Euler totient φ(n) | 1200 |
| Square | 5769604 |
| Cube | 13858588808 |
| Square root | 49.010203 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.402 × |
2402 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and two |
| Roman numerals | MMCDII |
| Binary (base 2) | 100101100010 |
| Octal (base 8) | 4542 |
| Hexadecimal (base 16) | 962 |
| Base 3 | 10021222 |
| As time | 2402 seconds = 40 min 2 s |
Is 2402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2402 ÷ 2 = 1201) | 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 1) | 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 8) | 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 4) | 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 2402 a prime number?
No. 2402 = 2 × 1201, so it is divisible by 2.
What are the factors of 2402?
1, 2, 1201, 2402.
What is 2402 in binary?
100101100010 (hexadecimal 962, octal 4542).
What is the square root of 2402?
About 49.0102.
What is 2402 in Roman numerals?
MMCDII.
Is 2402 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2402?
2402 is a semiprime: 2 × 1201, the product of two primes.