λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,727,698
57,727,698
2 × 3 × 7 × 197 × 6977
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 197 × 6977
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 132,637,824
Proper Divisor Sum 74,910,126
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #57727697 ← → #57727717

Radix Representation

Decimal 57727698
Binary 11011100001101101011010010 (26 bits)
Octal 0o334155322
Hexadecimal 0x370DAD2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 197 394 591 1,182 1,379 2,758 4,137 6,977 8,274 13,954 20,931 41,862 48,839 97,678 146,517 293,034 1,374,469 2,748,938 4,123,407 8,246,814 9,621,283 19,242,566 28,863,849 57,727,698

Collatz Trajectory (300 steps to reach 1)

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

57,727,698 28,863,849 86,591,548 43,295,774 21,647,887 64,943,662 32,471,831 97,415,494 48,707,747 146,123,242 73,061,621 219,184,864 109,592,432 54,796,216 27,398,108 13,699,054 6,849,527 20,548,582 10,274,291 30,822,874 15,411,437 46,234,312 23,117,156 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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