The number 32464
32464 is a composite number with 10 divisors. Its prime factorisation is × 2029. Divisors (10): 1, 2, 4, 8, 16, 2029, 4058, 8116, 16232, 32464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32464 is composite. Its prime factorisation is
- 3
The divisors add up to 62930; without 32464 itself that is 30466, so 32464 is deficient (30466 is less than 32464). Euler's totient φ(32464) = 16224 numbers up to 32464 share no factor with it.
- 4
The digits of 32464 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32464 = 2^{4} \times 2029 \]32464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 62930 |
| Euler totient φ(n) | 16224 |
| Square | 1053911296 |
| Cube | 34214176313344 |
| Square root | 180.177690 (= 4√2029) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2464 × |
32464 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and sixty-four |
| Binary (base 2) | 111111011010000 |
| Octal (base 8) | 77320 |
| Hexadecimal (base 16) | 7ED0 |
| Base 3 | 1122112101 |
| As time | 32464 seconds = 9 h 1 min 4 s |
Is 32464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32464 ÷ 2 = 16232) | 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 (32464 ÷ 4 = 8116) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (32464 ÷ 8 = 4058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 32464 a prime number?
No. 32464 = × 2029, so it is divisible by 2.
What are the factors of 32464?
1, 2, 4, 8, 16, 2029, 4058, 8116, 16232, 32464.
What is 32464 in binary?
111111011010000 (hexadecimal 7ED0, octal 77320).
What is the square root of 32464?
About 180.1777, exactly 4√2029.
Is 32464 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32464?
It is a composite number with 10 divisors.