λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,835,652
77,835,652
22 × 29 × 107 × 6271
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 29 × 107 × 6271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 142,248,960
Proper Divisor Sum 64,413,308
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #77835649 ← → #77835661

Radix Representation

Decimal 77835652
Binary 100101000111010110110000100 (27 bits)
Octal 0o450726604
Hexadecimal 0x4A3AD84

Divisor Catalog (24)

1 2 4 29 58 107 116 214 428 3,103 6,206 6,271 12,412 12,542 25,084 181,859 363,718 670,997 727,436 1,341,994 2,683,988 19,458,913 38,917,826 77,835,652

Collatz Trajectory (135 steps to reach 1)

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

77,835,652 38,917,826 19,458,913 58,376,740 29,188,370 14,594,185 43,782,556 21,891,278 10,945,639 32,836,918 16,418,459 49,255,378 24,627,689 73,883,068 36,941,534 18,470,767 55,412,302 27,706,151 83,118,454 41,559,227 124,677,682 62,338,841 187,016,524 93,508,262 46,754,131 140,262,394 70,131,197 210,393,592 105,196,796 52,598,398 26,299,199 78,897,598 39,448,799 118,346,398 59,173,199 177,519,598 88,759,799 266,279,398 133,139,699 399,419,098 199,709,549 599,128,648 299,564,324 149,782,162 74,891,081 224,673,244 112,336,622 56,168,311 168,504,934 84,252,467 252,757,402 126,378,701 379,136,104 189,568,052 94,784,026 47,392,013 142,176,040 71,088,020 35,544,010 17,772,005

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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