The number 7400
7400 is a composite number with 24 divisors. Its prime factorisation is × × 37. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200 … 7400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7400 is composite. Its prime factorisation is
- 3
The divisors add up to 17670; without 7400 itself that is 10270, so 7400 is abundant (10270 is more than 7400). Euler's totient φ(7400) = 2880 numbers up to 7400 share no factor with it.
- 4
The digits of 7400 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7400 = 2^{3} \times 5^{2} \times 37 \]7400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 17670 |
| Euler totient φ(n) | 2880 |
| Square | 54760000 |
| Cube | 405224000000 |
| Square root | 86.023253 (= 10√74) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.4 × |
7400 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred |
| Binary (base 2) | 1110011101000 |
| Octal (base 8) | 16350 |
| Hexadecimal (base 16) | 1CE8 |
| Base 3 | 101011002 |
| As time | 7400 seconds = 2 h 3 min 20 s |
Is 7400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7400 ÷ 2 = 3700) | 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 | Yes (7400 ÷ 4 = 1850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7400 ÷ 5 = 1480) | 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 | Yes (7400 ÷ 8 = 925) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7400 ÷ 10 = 740) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7400 a prime number?
No. 7400 = × × 37, so it is divisible by 2.
What are the factors of 7400?
1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400.
What is 7400 in binary?
1110011101000 (hexadecimal 1CE8, octal 16350).
What is the square root of 7400?
About 86.0233, exactly 10√74.
Is 7400 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 7400?
It is a composite number with 24 divisors.