18,576

2⁴ × 3³ × 43

Prime Factor Structure

Factorization String 2^4 × 3^3 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 54,560

Proper Divisor Sum 35,984

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #18553 ← → #18583

Radix Representation

Decimal	18576
Binary	100100010010000 (15 bits)
Octal	0o44220
Hexadecimal	0x4890

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1,032 1,161 1,548 2,064 2,322 3,096 4,644 6,192 9,288 18,576

Collatz Trajectory (185 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

18,576 9,288 4,644 2,322 1,161 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250

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