The number 55944
55944 is a composite number with 64 divisors. Its prime factorisation is × × 7 × 37. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36 … 55944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55944: a Harshad number: divisible by its digit sum 27.
- 2
55944 is composite. Its prime factorisation is
- 3
The divisors add up to 182400; without 55944 itself that is 126456, so 55944 is abundant (126456 is more than 55944). Euler's totient φ(55944) = 15552 numbers up to 55944 share no factor with it.
- 4
The digits of 55944 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55944 = 2^{3} \times 3^{3} \times 7 \times 37 \]55944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 182400 |
| Euler totient φ(n) | 15552 |
| Square | 3129731136 |
| Cube | 175089678672384 |
| Square root | 236.524840 (= 6√1554) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5944 × |
55944 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and forty-four |
| Binary (base 2) | 1101101010001000 |
| Octal (base 8) | 155210 |
| Hexadecimal (base 16) | DA88 |
| Base 3 | 2211202000 |
| As time | 55944 seconds = 15 h 32 min 24 s |
Is 55944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55944 ÷ 2 = 27972) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55944 ÷ 3 = 18648) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55944 ÷ 4 = 13986) | 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 (55944 ÷ 6 = 9324) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55944 ÷ 7 = 7992) | 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 (55944 ÷ 8 = 6993) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55944 ÷ 9 = 6216) | 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 (55944 ÷ 12 = 4662) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55944 a prime number?
No. 55944 = × × 7 × 37, so it is divisible by 2.
What are the factors of 55944?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 37, 42, 54, 56, 63, 72, 74, 84, 108, 111, 126, 148, 168, 189, 216, 222, 252, 259, 296, 333, 378, 444, 504, 518, 666, 756, 777, 888, 999, 1036, 1332, 1512, 1554, 1998, 2072, 2331, 2664, 3108, 3996, 4662, 6216, 6993, 7992, 9324, 13986, 18648, 27972, 55944.
What is 55944 in binary?
1101101010001000 (hexadecimal DA88, octal 155210).
What is the square root of 55944?
About 236.5248, exactly 6√1554.
Is 55944 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55944?
55944 is a Harshad number: divisible by its digit sum 27.