λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,012,159
42,012,159
3 × 72 × 107 × 2671
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 107 × 2671
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 65,795,328
Proper Divisor Sum 23,783,169
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #42012143 ← → #42012163

Radix Representation

Decimal 42012159
Binary 10100000010000110111111111 (26 bits)
Octal 0o240206777
Hexadecimal 0x2810DFF

Divisor Catalog (24)

1 3 7 21 49 107 147 321 749 2,247 2,671 5,243 8,013 15,729 18,697 56,091 130,879 285,797 392,637 857,391 2,000,579 6,001,737 14,004,053 42,012,159

Collatz Trajectory (297 steps to reach 1)

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

42,012,159 126,036,478 63,018,239 189,054,718 94,527,359 283,582,078 141,791,039 425,373,118 212,686,559 638,059,678 319,029,839 957,089,518 478,544,759 1,435,634,278 717,817,139 2,153,451,418 1,076,725,709 3,230,177,128 1,615,088,564 807,544,282 403,772,141 1,211,316,424 605,658,212 302,829,106 151,414,553 454,243,660 227,121,830 113,560,915 340,682,746 170,341,373 511,024,120 255,512,060 127,756,030 63,878,015 191,634,046 95,817,023 287,451,070 143,725,535 431,176,606 215,588,303 646,764,910 323,382,455 970,147,366 485,073,683 1,455,221,050 727,610,525 2,182,831,576 1,091,415,788 545,707,894 272,853,947 818,561,842 409,280,921 1,227,842,764 613,921,382 306,960,691 920,882,074 460,441,037 1,381,323,112 690,661,556 345,330,778

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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