The number 49044
49044 is a composite number with 24 divisors. Its prime factorisation is × 3 × 61 × 67. Divisors (24): 1, 2, 3, 4, 6, 12, 61, 67, 122, 134, 183, 201, 244, 268, 366, 402 … 49044.
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How to work it out
- 1
What is special about 49044: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49044 is composite. Its prime factorisation is
- 3
The divisors add up to 118048; without 49044 itself that is 69004, so 49044 is abundant (69004 is more than 49044). Euler's totient φ(49044) = 15840 numbers up to 49044 share no factor with it.
- 4
The digits of 49044 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49044 = 2^{2} \times 3 \times 61 \times 67 \]49044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118048 |
| Euler totient φ(n) | 15840 |
| Square | 2405313936 |
| Cube | 117966216677184 |
| Square root | 221.458800 (= 2√12261) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9044 × |
49044 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and forty-four |
| Binary (base 2) | 1011111110010100 |
| Octal (base 8) | 137624 |
| Hexadecimal (base 16) | BF94 |
| Base 3 | 2111021110 |
| As time | 49044 seconds = 13 h 37 min 24 s |
Is 49044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49044 ÷ 2 = 24522) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49044 ÷ 3 = 16348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49044 ÷ 4 = 12261) | 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 (49044 ÷ 6 = 8174) | 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 | No (remainder 4) | 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 (49044 ÷ 12 = 4087) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49044 a prime number?
No. 49044 = × 3 × 61 × 67, so it is divisible by 2.
What are the factors of 49044?
1, 2, 3, 4, 6, 12, 61, 67, 122, 134, 183, 201, 244, 268, 366, 402, 732, 804, 4087, 8174, 12261, 16348, 24522, 49044.
What is 49044 in binary?
1011111110010100 (hexadecimal BF94, octal 137624).
What is the square root of 49044?
About 221.4588, exactly 2√12261.
Is 49044 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49044?
49044 is a happy number: repeatedly adding the squares of its digits reaches 1.