λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,579,238
42,579,238
2 × 13 × 41 × 59 × 677
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 41 × 59 × 677
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,759,520
Proper Divisor Sum 29,180,282
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #42579223 ← → #42579241

Radix Representation

Decimal 42579238
Binary 10100010011011010100100110 (26 bits)
Octal 0o242332446
Hexadecimal 0x289B526

Divisor Catalog (32)

1 2 13 26 41 59 82 118 533 677 767 1,066 1,354 1,534 2,419 4,838 8,801 17,602 27,757 31,447 39,943 55,514 62,894 79,886 360,841 519,259 721,682 1,038,518 1,637,663 3,275,326 21,289,619 42,579,238

Collatz Trajectory (222 steps to reach 1)

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

42,579,238 21,289,619 63,868,858 31,934,429 95,803,288 47,901,644 23,950,822 11,975,411 35,926,234 17,963,117 53,889,352 26,944,676 13,472,338 6,736,169 20,208,508 10,104,254 5,052,127 15,156,382 7,578,191 22,734,574 11,367,287 34,101,862 17,050,931 51,152,794 25,576,397 76,729,192 38,364,596 19,182,298 9,591,149 28,773,448 14,386,724 7,193,362 3,596,681 10,790,044 5,395,022 2,697,511 8,092,534 4,046,267 12,138,802 6,069,401 18,208,204 9,104,102 4,552,051 13,656,154 6,828,077 20,484,232 10,242,116 5,121,058 2,560,529 7,681,588 3,840,794 1,920,397 5,761,192 2,880,596 1,440,298 720,149 2,160,448 1,080,224 540,112 270,056

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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