321,048

2³ × 3² × 7³ × 13

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^3 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,092,000

Proper Divisor Sum 770,952

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #321047 ← → #321053

Radix Representation

Decimal	321048
Binary	1001110011000011000 (19 bits)
Octal	0o1163030
Hexadecimal	0x4E618

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 343 364 392 441 468 504 546 588 637 686 728 819 882 936 1,029 1,092 1,176 1,274 1,372

Collatz Trajectory (96 steps to reach 1)

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

321,048 160,524 80,262 40,131 120,394 60,197 180,592 90,296 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051

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