λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,769,212
57,769,212
22 × 3 × 571 × 8431
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 571 × 8431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 135,046,912
Proper Divisor Sum 77,277,700
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57769211 ← → #57769219

Radix Representation

Decimal 57769212
Binary 11011100010111110011111100 (26 bits)
Octal 0o334276374
Hexadecimal 0x3717CFC

Divisor Catalog (24)

1 2 3 4 6 12 571 1,142 1,713 2,284 3,426 6,852 8,431 16,862 25,293 33,724 50,586 101,172 4,814,101 9,628,202 14,442,303 19,256,404 28,884,606 57,769,212

Collatz Trajectory (269 steps to reach 1)

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

57,769,212 28,884,606 14,442,303 43,326,910 21,663,455 64,990,366 32,495,183 97,485,550 48,742,775 146,228,326 73,114,163 219,342,490 109,671,245 329,013,736 164,506,868 82,253,434 41,126,717 123,380,152 61,690,076 30,845,038 15,422,519 46,267,558 23,133,779 69,401,338 34,700,669 104,102,008 52,051,004 26,025,502 13,012,751 39,038,254 19,519,127 58,557,382 29,278,691 87,836,074 43,918,037 131,754,112 65,877,056 32,938,528 16,469,264 8,234,632 4,117,316 2,058,658 1,029,329 3,087,988 1,543,994 771,997 2,315,992 1,157,996 578,998 289,499 868,498 434,249 1,302,748 651,374 325,687 977,062 488,531 1,465,594 732,797 2,198,392

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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