The number 7401
7401 is a composite number with 4 divisors. Its prime factorisation is 3 × 2467. Divisors (4): 1, 3, 2467, 7401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7401: a semiprime: 3 × 2467, the product of two primes.
- 2
7401 is composite. Its prime factorisation is
- 3
The divisors add up to 9872; without 7401 itself that is 2471, so 7401 is deficient (2471 is less than 7401). Euler's totient φ(7401) = 4932 numbers up to 7401 share no factor with it.
- 4
The digits of 7401 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7401 = 3 \times 2467 \]
7401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9872 |
| Euler totient φ(n) | 4932 |
| Square | 54774801 |
| Cube | 405388302201 |
| Square root | 86.029065 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.401 × |
7401 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and one |
| Binary (base 2) | 1110011101001 |
| Octal (base 8) | 16351 |
| Hexadecimal (base 16) | 1CE9 |
| Base 3 | 101011010 |
| As time | 7401 seconds = 2 h 3 min 21 s |
Is 7401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7401 ÷ 3 = 2467) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7401 a prime number?
No. 7401 = 3 × 2467, so it is divisible by 3.
What are the factors of 7401?
1, 3, 2467, 7401.
What is 7401 in binary?
1110011101001 (hexadecimal 1CE9, octal 16351).
What is the square root of 7401?
About 86.0291.
Is 7401 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7401?
7401 is a semiprime: 3 × 2467, the product of two primes.