λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,729,600
4,729,600
28 × 52 × 739
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 5^2 × 739
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 11,722,340
Proper Divisor Sum 6,992,740
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4729591 ← → #4729603

Radix Representation

Decimal 4729600
Binary 10010000010101100000000 (23 bits)
Octal 0o22025400
Hexadecimal 0x482B00

Divisor Catalog (54)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 739 800 1,280 1,478 1,600 2,956 3,200 3,695 5,912 6,400 7,390 11,824 14,780 18,475 23,648 29,560 36,950 47,296 59,120 73,900 94,592 118,240 147,800 189,184 236,480 295,600 472,960 591,200 945,920 1,182,400 2,364,800 4,729,600

Collatz Trajectory (162 steps to reach 1)

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

4,729,600 2,364,800 1,182,400 591,200 295,600 147,800 73,900 36,950 18,475 55,426 27,713 83,140 41,570 20,785 62,356 31,178 15,589 46,768 23,384 11,692 5,846 2,923 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

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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