λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,472,000
7,472,000
27 × 53 × 467
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^3 × 467
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,617,040
Proper Divisor Sum 11,145,040
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7471999 ← → #7472011

Radix Representation

Decimal 7472000
Binary 11100100000001110000000 (23 bits)
Octal 0o34401600
Hexadecimal 0x720380

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 467 500 640 800 934 1,000 1,600 1,868 2,000 2,335 3,200 3,736 4,000 4,670 7,472 8,000 9,340 11,675 14,944 16,000 18,680 23,350 29,888 37,360 46,700 58,375 59,776 74,720 93,400 116,750 149,440 186,800 233,500 298,880 373,600 467,000 747,200 934,000

Collatz Trajectory (129 steps to reach 1)

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

7,472,000 3,736,000 1,868,000 934,000 467,000 233,500 116,750 58,375 175,126 87,563 262,690 131,345 394,036 197,018 98,509 295,528 147,764 73,882 36,941 110,824 55,412 27,706 13,853 41,560 20,780 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

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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