The number 9464
9464 is a composite number with 24 divisors. Its prime factorisation is × 7 × . Divisors (24): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338 … 9464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9464 is composite. Its prime factorisation is
- 3
The divisors add up to 21960; without 9464 itself that is 12496, so 9464 is abundant (12496 is more than 9464). Euler's totient φ(9464) = 3744 numbers up to 9464 share no factor with it.
- 4
The digits of 9464 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9464 = 2^{3} \times 7 \times 13^{2} \]9464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21960 |
| Euler totient φ(n) | 3744 |
| Square | 89567296 |
| Cube | 847664889344 |
| Square root | 97.283092 (= 26√14) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.464 × |
9464 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and sixty-four |
| Binary (base 2) | 10010011111000 |
| Octal (base 8) | 22370 |
| Hexadecimal (base 16) | 24F8 |
| Base 3 | 110222112 |
| As time | 9464 seconds = 2 h 37 min 44 s |
Is 9464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9464 ÷ 2 = 4732) | 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 (9464 ÷ 4 = 2366) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9464 ÷ 7 = 1352) | 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 (9464 ÷ 8 = 1183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 9464 a prime number?
No. 9464 = × 7 × , so it is divisible by 2.
What are the factors of 9464?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464.
What is 9464 in binary?
10010011111000 (hexadecimal 24F8, octal 22370).
What is the square root of 9464?
About 97.2831, exactly 26√14.
Is 9464 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9464?
It is a composite number with 24 divisors.