The number 7420
7420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 53. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265 … 7420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7420 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 7420 itself that is 10724, so 7420 is abundant (10724 is more than 7420). Euler's totient φ(7420) = 2496 numbers up to 7420 share no factor with it.
- 4
The digits of 7420 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7420 = 2^{2} \times 5 \times 7 \times 53 \]7420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 2496 |
| Square | 55056400 |
| Cube | 408518488000 |
| Square root | 86.139422 (= 2√1855) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 7.42 × |
7420 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and twenty |
| Binary (base 2) | 1110011111100 |
| Octal (base 8) | 16374 |
| Hexadecimal (base 16) | 1CFC |
| Base 3 | 101011211 |
| As time | 7420 seconds = 2 h 3 min 40 s |
Is 7420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7420 ÷ 2 = 3710) | 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 | Yes (7420 ÷ 4 = 1855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7420 ÷ 5 = 1484) | 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 | Yes (7420 ÷ 7 = 1060) | 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 4) | 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 | Yes (7420 ÷ 10 = 742) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7420 a prime number?
No. 7420 = × 5 × 7 × 53, so it is divisible by 2.
What are the factors of 7420?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420.
What is 7420 in binary?
1110011111100 (hexadecimal 1CFC, octal 16374).
What is the square root of 7420?
About 86.1394, exactly 2√1855.
Is 7420 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7420?
It is a composite number with 24 divisors.