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501,600

25 × 3 × 52 × 11 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 11 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,874,880
Proper Divisor Sum 1,373,280
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #501593 ← → #501601

Radix Representation

Decimal 501600
Binary 1111010011101100000 (19 bits)
Octal 0o1723540
Hexadecimal 0x7A760

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 66 75 76 80 88 95 96 100 110 114 120 132 150 152 160 165 176 190 200 209 220 228 240 264 275 285 300 304 330 352 380 400

Collatz Trajectory (107 steps to reach 1)

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

501,600 250,800 125,400 62,700 31,350 15,675 47,026 23,513 70,540 35,270 17,635 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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