λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,736,636
65,736,636
22 × 3 × 73 × 15971
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7^3 × 15971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 178,886,400
Proper Divisor Sum 113,149,764
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #65736623 ← → #65736641

Radix Representation

Decimal 65736636
Binary 11111010110000111110111100 (26 bits)
Octal 0o372607674
Hexadecimal 0x3EB0FBC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1,029 1,372 2,058 4,116 15,971 31,942 47,913 63,884 95,826 111,797 191,652 223,594 335,391 447,188 670,782 782,579 1,341,564 1,565,158 2,347,737 3,130,316 4,695,474 5,478,053 9,390,948 10,956,106 16,434,159 21,912,212 32,868,318 65,736,636

Collatz Trajectory (233 steps to reach 1)

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

65,736,636 32,868,318 16,434,159 49,302,478 24,651,239 73,953,718 36,976,859 110,930,578 55,465,289 166,395,868 83,197,934 41,598,967 124,796,902 62,398,451 187,195,354 93,597,677 280,793,032 140,396,516 70,198,258 35,099,129 105,297,388 52,648,694 26,324,347 78,973,042 39,486,521 118,459,564 59,229,782 29,614,891 88,844,674 44,422,337 133,267,012 66,633,506 33,316,753 99,950,260 49,975,130 24,987,565 74,962,696 37,481,348 18,740,674 9,370,337 28,111,012 14,055,506 7,027,753 21,083,260 10,541,630 5,270,815 15,812,446 7,906,223 23,718,670 11,859,335 35,578,006 17,789,003 53,367,010 26,683,505 80,050,516 40,025,258 20,012,629 60,037,888 30,018,944 15,009,472

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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