λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,388,024
39,388,024
23 × 13 × 103 × 3677
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 103 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,327,520
Proper Divisor Sum 40,939,496
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #39388009 ← → #39388033

Radix Representation

Decimal 39388024
Binary 10010110010000001101111000 (26 bits)
Octal 0o226201570
Hexadecimal 0x2590378

Divisor Catalog (32)

1 2 4 8 13 26 52 103 104 206 412 824 1,339 2,678 3,677 5,356 7,354 10,712 14,708 29,416 47,801 95,602 191,204 378,731 382,408 757,462 1,514,924 3,029,848 4,923,503 9,847,006 19,694,012 39,388,024

Collatz Trajectory (240 steps to reach 1)

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

39,388,024 19,694,012 9,847,006 4,923,503 14,770,510 7,385,255 22,155,766 11,077,883 33,233,650 16,616,825 49,850,476 24,925,238 12,462,619 37,387,858 18,693,929 56,081,788 28,040,894 14,020,447 42,061,342 21,030,671 63,092,014 31,546,007 94,638,022 47,319,011 141,957,034 70,978,517 212,935,552 106,467,776 53,233,888 26,616,944 13,308,472 6,654,236 3,327,118 1,663,559 4,990,678 2,495,339 7,486,018 3,743,009 11,229,028 5,614,514 2,807,257 8,421,772 4,210,886 2,105,443 6,316,330 3,158,165 9,474,496 4,737,248 2,368,624 1,184,312 592,156 296,078 148,039 444,118 222,059 666,178 333,089 999,268 499,634 249,817

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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