λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,092,015
4,092,015
3 × 5 × 37 × 73 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 37 × 73 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,883,776
Proper Divisor Sum 2,791,761
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4092013 ← → #4092029

Radix Representation

Decimal 4092015
Binary 1111100111000001101111 (22 bits)
Octal 0o17470157
Hexadecimal 0x3E706F

Divisor Catalog (32)

1 3 5 15 37 73 101 111 185 219 303 365 505 555 1,095 1,515 2,701 3,737 7,373 8,103 11,211 13,505 18,685 22,119 36,865 40,515 56,055 110,595 272,801 818,403 1,364,005 4,092,015

Collatz Trajectory (229 steps to reach 1)

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

4,092,015 12,276,046 6,138,023 18,414,070 9,207,035 27,621,106 13,810,553 41,431,660 20,715,830 10,357,915 31,073,746 15,536,873 46,610,620 23,305,310 11,652,655 34,957,966 17,478,983 52,436,950 26,218,475 78,655,426 39,327,713 117,983,140 58,991,570 29,495,785 88,487,356 44,243,678 22,121,839 66,365,518 33,182,759 99,548,278 49,774,139 149,322,418 74,661,209 223,983,628 111,991,814 55,995,907 167,987,722 83,993,861 251,981,584 125,990,792 62,995,396 31,497,698 15,748,849 47,246,548 23,623,274 11,811,637 35,434,912 17,717,456 8,858,728 4,429,364 2,214,682 1,107,341 3,322,024 1,661,012 830,506 415,253 1,245,760 622,880 311,440 155,720

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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