18,216

2³ × 3² × 11 × 23

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 56,160

Proper Divisor Sum 37,944

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #18211 ← → #18217

Radix Representation

Decimal	18216
Binary	100011100101000 (15 bits)
Octal	0o43450
Hexadecimal	0x4728

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1,012 1,518 1,656 2,024 2,277 3,036 4,554 6,072 9,108 18,216

Collatz Trajectory (61 steps to reach 1)

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

18,216 9,108 4,554 2,277 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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