λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,501,566
40,501,566
2 × 33 × 7 × 109 × 983
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 109 × 983
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 103,910,400
Proper Divisor Sum 63,408,834
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40501541 ← → #40501577

Radix Representation

Decimal 40501566
Binary 10011010100000000100111110 (26 bits)
Octal 0o232400476
Hexadecimal 0x26A013E

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 983 1,526 1,962 1,966 2,289 2,943 2,949 4,578 5,886 5,898 6,867 6,881 8,847 13,734 13,762 17,694 20,601 20,643 26,541 41,202 41,286 53,082 61,929 107,147 123,858 185,787 214,294 321,441 371,574 642,882 750,029 964,323 1,500,058 1,928,646 2,250,087 2,892,969 4,500,174 5,785,938

Collatz Trajectory (253 steps to reach 1)

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

40,501,566 20,250,783 60,752,350 30,376,175 91,128,526 45,564,263 136,692,790 68,346,395 205,039,186 102,519,593 307,558,780 153,779,390 76,889,695 230,669,086 115,334,543 346,003,630 173,001,815 519,005,446 259,502,723 778,508,170 389,254,085 1,167,762,256 583,881,128 291,940,564 145,970,282 72,985,141 218,955,424 109,477,712 54,738,856 27,369,428 13,684,714 6,842,357 20,527,072 10,263,536 5,131,768 2,565,884 1,282,942 641,471 1,924,414 962,207 2,886,622 1,443,311 4,329,934 2,164,967 6,494,902 3,247,451 9,742,354 4,871,177 14,613,532 7,306,766 3,653,383 10,960,150 5,480,075 16,440,226 8,220,113 24,660,340 12,330,170 6,165,085 18,495,256 9,247,628

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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