The number 7464
7464 is a composite number with 16 divisors. Its prime factorisation is × 3 × 311. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464.
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How to work it out
- 1
7464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7464 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 7464 itself that is 11256, so 7464 is abundant (11256 is more than 7464). Euler's totient φ(7464) = 2480 numbers up to 7464 share no factor with it.
- 4
The digits of 7464 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7464 = 2^{3} \times 3 \times 311 \]7464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 2480 |
| Square | 55711296 |
| Cube | 415829113344 |
| Square root | 86.394444 (= 2√1866) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 7.464 × |
7464 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and sixty-four |
| Binary (base 2) | 1110100101000 |
| Octal (base 8) | 16450 |
| Hexadecimal (base 16) | 1D28 |
| Base 3 | 101020110 |
| As time | 7464 seconds = 2 h 4 min 24 s |
Is 7464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7464 ÷ 2 = 3732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7464 ÷ 3 = 2488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7464 ÷ 4 = 1866) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7464 ÷ 6 = 1244) | 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 | Yes (7464 ÷ 8 = 933) | 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 4) | 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 | Yes (7464 ÷ 12 = 622) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7464 a prime number?
No. 7464 = × 3 × 311, so it is divisible by 2.
What are the factors of 7464?
1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464.
What is 7464 in binary?
1110100101000 (hexadecimal 1D28, octal 16450).
What is the square root of 7464?
About 86.3944, exactly 2√1866.
Is 7464 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7464?
It is a composite number with 16 divisors.