The number 10444
10444 is a composite number with 12 divisors. Its prime factorisation is × 7 × 373. Divisors (12): 1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222, 10444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10444: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10444 is composite. Its prime factorisation is
- 3
The divisors add up to 20944; without 10444 itself that is 10500, so 10444 is abundant (10500 is more than 10444). Euler's totient φ(10444) = 4464 numbers up to 10444 share no factor with it.
- 4
The digits of 10444 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10444 = 2^{2} \times 7 \times 373 \]10444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20944 |
| Euler totient φ(n) | 4464 |
| Square | 109077136 |
| Cube | 1139201608384 |
| Square root | 102.195890 (= 2√2611) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0444 × |
10444 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and forty-four |
| Binary (base 2) | 10100011001100 |
| Octal (base 8) | 24314 |
| Hexadecimal (base 16) | 28CC |
| Base 3 | 112022211 |
| As time | 10444 seconds = 2 h 54 min 4 s |
Is 10444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10444 ÷ 2 = 5222) | 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 (10444 ÷ 4 = 2611) | 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 | Yes (10444 ÷ 7 = 1492) | 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 4) | 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 5) | 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 10444 a prime number?
No. 10444 = × 7 × 373, so it is divisible by 2.
What are the factors of 10444?
1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222, 10444.
What is 10444 in binary?
10100011001100 (hexadecimal 28CC, octal 24314).
What is the square root of 10444?
About 102.1959, exactly 2√2611.
Is 10444 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10444?
10444 is a happy number: repeatedly adding the squares of its digits reaches 1.