λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,425,920
5,425,920
28 × 33 × 5 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3^3 × 5 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 19,377,120
Proper Divisor Sum 13,951,200
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5425909 ← → #5425943

Radix Representation

Decimal 5425920
Binary 10100101100101100000000 (23 bits)
Octal 0o24545400
Hexadecimal 0x52CB00

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 157 160 180 192 216 240 256 270 288 314 320 360 384 432 471 480 540 576 628 640 720 768 785 864 942 960

Collatz Trajectory (64 steps to reach 1)

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

5,425,920 2,712,960 1,356,480 678,240 339,120 169,560 84,780 42,390 21,195 63,586 31,793 95,380 47,690 23,845 71,536 35,768 17,884 8,942 4,471 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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