84,288

2⁶ × 3 × 439

Prime Factor Structure

Factorization String 2^6 × 3 × 439

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 223,520

Proper Divisor Sum 139,232

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #84263 ← → #84299

Radix Representation

Decimal	84288
Binary	10100100101000000 (17 bits)
Octal	0o244500
Hexadecimal	0x14940

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 439 878 1,317 1,756 2,634 3,512 5,268 7,024 10,536 14,048 21,072 28,096 42,144 84,288

Collatz Trajectory (58 steps to reach 1)

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

84,288 42,144 21,072 10,536 5,268 2,634 1,317 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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