The number 55476
55476 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 67. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 67, 69, 92, 134, 138 … 55476.
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How to work it out
- 1
55476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55476 is composite. Its prime factorisation is
- 3
The divisors add up to 148512; without 55476 itself that is 93036, so 55476 is abundant (93036 is more than 55476). Euler's totient φ(55476) = 17424 numbers up to 55476 share no factor with it.
- 4
The digits of 55476 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55476 = 2^{2} \times 3^{2} \times 23 \times 67 \]55476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 148512 |
| Euler totient φ(n) | 17424 |
| Square | 3077586576 |
| Cube | 170732192890176 |
| Square root | 235.533437 (= 6√1541) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5476 × |
55476 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and seventy-six |
| Binary (base 2) | 1101100010110100 |
| Octal (base 8) | 154264 |
| Hexadecimal (base 16) | D8B4 |
| Base 3 | 2211002200 |
| As time | 55476 seconds = 15 h 24 min 36 s |
Is 55476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55476 ÷ 2 = 27738) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55476 ÷ 3 = 18492) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55476 ÷ 4 = 13869) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55476 ÷ 6 = 9246) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (55476 ÷ 9 = 6164) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55476 ÷ 12 = 4623) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55476 a prime number?
No. 55476 = × × 23 × 67, so it is divisible by 2.
What are the factors of 55476?
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 67, 69, 92, 134, 138, 201, 207, 268, 276, 402, 414, 603, 804, 828, 1206, 1541, 2412, 3082, 4623, 6164, 9246, 13869, 18492, 27738, 55476.
What is 55476 in binary?
1101100010110100 (hexadecimal D8B4, octal 154264).
What is the square root of 55476?
About 235.5334, exactly 6√1541.
Is 55476 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55476?
It is a composite number with 36 divisors.