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2,467,200

27 × 3 × 52 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 8,157,960
Proper Divisor Sum 5,690,760
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2467151 ← → #2467217

Radix Representation

Decimal 2467200
Binary 1001011010010110000000 (22 bits)
Octal 0o11322600
Hexadecimal 0x25A580

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 257 300 320 384 400 480 514 600 640 771 800 960 1,028 1,200 1,285 1,542 1,600 1,920 2,056 2,400 2,570 3,084 3,200 3,855 4,112 4,800 5,140 6,168

Collatz Trajectory (130 steps to reach 1)

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

2,467,200 1,233,600 616,800 308,400 154,200 77,100 38,550 19,275 57,826 28,913 86,740 43,370 21,685 65,056 32,528 16,264 8,132 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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