λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,292,715
28,292,715
32 × 5 × 11 × 61 × 937
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 61 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,434,016
Proper Divisor Sum 26,141,301
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #28292711 ← → #28292717

Radix Representation

Decimal 28292715
Binary 1101011111011011001101011 (25 bits)
Octal 0o153733153
Hexadecimal 0x1AFB66B

Divisor Catalog (48)

1 3 5 9 11 15 33 45 55 61 99 165 183 305 495 549 671 915 937 2,013 2,745 2,811 3,355 4,685 6,039 8,433 10,065 10,307 14,055 30,195 30,921 42,165 51,535 57,157 92,763 154,605 171,471 285,785 463,815 514,413 628,727 857,355 1,886,181 2,572,065 3,143,635 5,658,543 9,430,905 28,292,715

Collatz Trajectory (131 steps to reach 1)

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

28,292,715 84,878,146 42,439,073 127,317,220 63,658,610 31,829,305 95,487,916 47,743,958 23,871,979 71,615,938 35,807,969 107,423,908 53,711,954 26,855,977 80,567,932 40,283,966 20,141,983 60,425,950 30,212,975 90,638,926 45,319,463 135,958,390 67,979,195 203,937,586 101,968,793 305,906,380 152,953,190 76,476,595 229,429,786 114,714,893 344,144,680 172,072,340 86,036,170 43,018,085 129,054,256 64,527,128 32,263,564 16,131,782 8,065,891 24,197,674 12,098,837 36,296,512 18,148,256 9,074,128 4,537,064 2,268,532 1,134,266 567,133 1,701,400 850,700 425,350 212,675 638,026 319,013 957,040 478,520 239,260 119,630 59,815 179,446

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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