The number 4464
4464 is a composite number with 30 divisors. Its prime factorisation is × × 31. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72 … 4464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4464: a Harshad number: divisible by its digit sum 18.
- 2
4464 is composite. Its prime factorisation is
- 3
The divisors add up to 12896; without 4464 itself that is 8432, so 4464 is abundant (8432 is more than 4464). Euler's totient φ(4464) = 1440 numbers up to 4464 share no factor with it.
- 4
The digits of 4464 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4464 = 2^{4} \times 3^{2} \times 31 \]4464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 12896 |
| Euler totient φ(n) | 1440 |
| Square | 19927296 |
| Cube | 88955449344 |
| Square root | 66.813172 (= 12√31) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.464 × |
4464 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and sixty-four |
| Binary (base 2) | 1000101110000 |
| Octal (base 8) | 10560 |
| Hexadecimal (base 16) | 1170 |
| Base 3 | 20010100 |
| As time | 4464 seconds = 1 h 14 min 24 s |
Is 4464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4464 ÷ 2 = 2232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4464 ÷ 3 = 1488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4464 ÷ 4 = 1116) | 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 (4464 ÷ 6 = 744) | 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 (4464 ÷ 8 = 558) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4464 ÷ 9 = 496) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4464 ÷ 12 = 372) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4464 a prime number?
No. 4464 = × × 31, so it is divisible by 2.
What are the factors of 4464?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464.
What is 4464 in binary?
1000101110000 (hexadecimal 1170, octal 10560).
What is the square root of 4464?
About 66.8132, exactly 12√31.
Is 4464 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4464?
4464 is a Harshad number: divisible by its digit sum 18.