The number 7402
7402 is a composite number with 4 divisors. Its prime factorisation is 2 × 3701. Divisors (4): 1, 2, 3701, 7402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7402: a semiprime: 2 × 3701, the product of two primes.
- 2
7402 is composite. Its prime factorisation is
- 3
The divisors add up to 11106; without 7402 itself that is 3704, so 7402 is deficient (3704 is less than 7402). Euler's totient φ(7402) = 3700 numbers up to 7402 share no factor with it.
- 4
The digits of 7402 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7402 = 2 \times 3701 \]
7402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11106 |
| Euler totient φ(n) | 3700 |
| Square | 54789604 |
| Cube | 405552648808 |
| Square root | 86.034877 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.402 × |
7402 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and two |
| Binary (base 2) | 1110011101010 |
| Octal (base 8) | 16352 |
| Hexadecimal (base 16) | 1CEA |
| Base 3 | 101011011 |
| As time | 7402 seconds = 2 h 3 min 22 s |
Is 7402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7402 ÷ 2 = 3701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7402 a prime number?
No. 7402 = 2 × 3701, so it is divisible by 2.
What are the factors of 7402?
1, 2, 3701, 7402.
What is 7402 in binary?
1110011101010 (hexadecimal 1CEA, octal 16352).
What is the square root of 7402?
About 86.0349.
Is 7402 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7402?
7402 is a semiprime: 2 × 3701, the product of two primes.