λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,028,126
42,028,126
2 × 7 × 31 × 179 × 541
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 31 × 179 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,926,080
Proper Divisor Sum 32,897,954
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #42028123 ← → #42028169

Radix Representation

Decimal 42028126
Binary 10100000010100110001011110 (26 bits)
Octal 0o240246136
Hexadecimal 0x2814C5E

Divisor Catalog (32)

1 2 7 14 31 62 179 217 358 434 541 1,082 1,253 2,506 3,787 5,549 7,574 11,098 16,771 33,542 38,843 77,686 96,839 117,397 193,678 234,794 677,873 1,355,746 3,002,009 6,004,018 21,014,063 42,028,126

Collatz Trajectory (315 steps to reach 1)

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

42,028,126 21,014,063 63,042,190 31,521,095 94,563,286 47,281,643 141,844,930 70,922,465 212,767,396 106,383,698 53,191,849 159,575,548 79,787,774 39,893,887 119,681,662 59,840,831 179,522,494 89,761,247 269,283,742 134,641,871 403,925,614 201,962,807 605,888,422 302,944,211 908,832,634 454,416,317 1,363,248,952 681,624,476 340,812,238 170,406,119 511,218,358 255,609,179 766,827,538 383,413,769 1,150,241,308 575,120,654 287,560,327 862,680,982 431,340,491 1,294,021,474 647,010,737 1,941,032,212 970,516,106 485,258,053 1,455,774,160 727,887,080 363,943,540 181,971,770 90,985,885 272,957,656 136,478,828 68,239,414 34,119,707 102,359,122 51,179,561 153,538,684 76,769,342 38,384,671 115,154,014 57,577,007

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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