λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,978,648
36,978,648
23 × 3 × 7 × 103 × 2137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 103 × 2137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 106,728,960
Proper Divisor Sum 69,750,312
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #36978647 ← → #36978659

Radix Representation

Decimal 36978648
Binary 10001101000011111111011000 (26 bits)
Octal 0o215037730
Hexadecimal 0x2343FD8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1,236 1,442 2,137 2,163 2,472 2,884 4,274 4,326 5,768 6,411 8,548 8,652 12,822 14,959 17,096 17,304 25,644 29,918 44,877 51,288 59,836 89,754 119,672 179,508 220,111 359,016 440,222 660,333 880,444 1,320,666 1,540,777 1,760,888 2,641,332 3,081,554 4,622,331 5,282,664 6,163,108

Collatz Trajectory (258 steps to reach 1)

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

36,978,648 18,489,324 9,244,662 4,622,331 13,866,994 6,933,497 20,800,492 10,400,246 5,200,123 15,600,370 7,800,185 23,400,556 11,700,278 5,850,139 17,550,418 8,775,209 26,325,628 13,162,814 6,581,407 19,744,222 9,872,111 29,616,334 14,808,167 44,424,502 22,212,251 66,636,754 33,318,377 99,955,132 49,977,566 24,988,783 74,966,350 37,483,175 112,449,526 56,224,763 168,674,290 84,337,145 253,011,436 126,505,718 63,252,859 189,758,578 94,879,289 284,637,868 142,318,934 71,159,467 213,478,402 106,739,201 320,217,604 160,108,802 80,054,401 240,163,204 120,081,602 60,040,801 180,122,404 90,061,202 45,030,601 135,091,804 67,545,902 33,772,951 101,318,854 50,659,427

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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