λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,137,280
4,137,280
26 × 5 × 7 × 1847
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 1847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 11,265,408
Proper Divisor Sum 7,128,128
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4137277 ← → #4137299

Radix Representation

Decimal 4137280
Binary 1111110010000101000000 (22 bits)
Octal 0o17620500
Hexadecimal 0x3F2140

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 1,847 2,240 3,694 7,388 9,235 12,929 14,776 18,470 25,858 29,552 36,940 51,716 59,104 64,645 73,880 103,432 118,208 129,290 147,760 206,864 258,580 295,520 413,728 517,160 591,040 827,456 1,034,320 2,068,640 4,137,280

Collatz Trajectory (154 steps to reach 1)

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

4,137,280 2,068,640 1,034,320 517,160 258,580 129,290 64,645 193,936 96,968 48,484 24,242 12,121 36,364 18,182 9,091 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730

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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