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Atlas › Integer Profiles › Node 3,152,000

3,152,000

27 × 53 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^3 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,876,440
Proper Divisor Sum 4,724,440
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #3151999 ← → #3152003

Radix Representation

Decimal 3152000
Binary 1100000001100010000000 (22 bits)
Octal 0o14014200
Hexadecimal 0x301880

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 197 200 250 320 394 400 500 640 788 800 985 1,000 1,576 1,600 1,970 2,000 3,152 3,200 3,940 4,000 4,925 6,304 7,880 8,000 9,850 12,608 15,760 16,000 19,700 24,625 25,216 31,520 39,400 49,250 63,040 78,800 98,500 126,080 157,600 197,000 315,200 394,000

Collatz Trajectory (120 steps to reach 1)

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

3,152,000 1,576,000 788,000 394,000 197,000 98,500 49,250 24,625 73,876 36,938 18,469 55,408 27,704 13,852 6,926 3,463 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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