λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,944,192
3,944,192
28 × 7 × 31 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 7 × 31 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 9,418,752
Proper Divisor Sum 5,474,560
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3944189 ← → #3944219

Radix Representation

Decimal 3944192
Binary 1111000010111100000000 (22 bits)
Octal 0o17027400
Hexadecimal 0x3C2F00

Divisor Catalog (60 of 72)

1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 128 142 217 224 248 256 284 434 448 496 497 568 868 896 992 994 1,136 1,736 1,792 1,984 1,988 2,201 2,272 3,472 3,968 3,976 4,402 4,544 6,944 7,936 7,952 8,804 9,088 13,888 15,407 15,904 17,608 18,176 27,776 30,814 31,808 35,216 55,552 61,628

Collatz Trajectory (66 steps to reach 1)

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

3,944,192 1,972,096 986,048 493,024 246,512 123,256 61,628 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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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