λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,727,672
57,727,672
23 × 41 × 43 × 4093
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 41 × 43 × 4093
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,485,680
Proper Divisor Sum 55,758,008
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57727627 ← → #57727687

Radix Representation

Decimal 57727672
Binary 11011100001101101010111000 (26 bits)
Octal 0o334155270
Hexadecimal 0x370DAB8

Divisor Catalog (32)

1 2 4 8 41 43 82 86 164 172 328 344 1,763 3,526 4,093 7,052 8,186 14,104 16,372 32,744 167,813 175,999 335,626 351,998 671,252 703,996 1,342,504 1,407,992 7,215,959 14,431,918 28,863,836 57,727,672

Collatz Trajectory (300 steps to reach 1)

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

57,727,672 28,863,836 14,431,918 7,215,959 21,647,878 10,823,939 32,471,818 16,235,909 48,707,728 24,353,864 12,176,932 6,088,466 3,044,233 9,132,700 4,566,350 2,283,175 6,849,526 3,424,763 10,274,290 5,137,145 15,411,436 7,705,718 3,852,859 11,558,578 5,779,289 17,337,868 8,668,934 4,334,467 13,003,402 6,501,701 19,505,104 9,752,552 4,876,276 2,438,138 1,219,069 3,657,208 1,828,604 914,302 457,151 1,371,454 685,727 2,057,182 1,028,591 3,085,774 1,542,887 4,628,662 2,314,331 6,942,994 3,471,497 10,414,492 5,207,246 2,603,623 7,810,870 3,905,435 11,716,306 5,858,153 17,574,460 8,787,230 4,393,615 13,180,846

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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