The number 3664
3664 is a composite number with 10 divisors. Its prime factorisation is × 229. Divisors (10): 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3664: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3664 is composite. Its prime factorisation is
- 3
The divisors add up to 7130; without 3664 itself that is 3466, so 3664 is deficient (3466 is less than 3664). Euler's totient φ(3664) = 1824 numbers up to 3664 share no factor with it.
- 4
The digits of 3664 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3664 = 2^{4} \times 229 \]3664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 7130 |
| Euler totient φ(n) | 1824 |
| Square | 13424896 |
| Cube | 49188818944 |
| Square root | 60.530984 (= 4√229) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.664 × |
3664 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and sixty-four |
| Roman numerals | MMMDCLXIV |
| Binary (base 2) | 111001010000 |
| Octal (base 8) | 7120 |
| Hexadecimal (base 16) | E50 |
| Base 3 | 12000201 |
| As time | 3664 seconds = 1 h 1 min 4 s |
Is 3664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3664 ÷ 2 = 1832) | 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 (3664 ÷ 4 = 916) | 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 3) | 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 (3664 ÷ 8 = 458) | 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 1) | 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 3664 a prime number?
No. 3664 = × 229, so it is divisible by 2.
What are the factors of 3664?
1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664.
What is 3664 in binary?
111001010000 (hexadecimal E50, octal 7120).
What is the square root of 3664?
About 60.5310, exactly 4√229.
What is 3664 in Roman numerals?
MMMDCLXIV.
Is 3664 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3664?
3664 is a happy number: repeatedly adding the squares of its digits reaches 1.