λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,727,631
57,727,631
13 × 17 × 23 × 41 × 277
Deficient Odd Composite

Prime Factor Structure

Factorization String 13 × 17 × 23 × 41 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,616,448
Proper Divisor Sum 12,888,817
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57727627 ← → #57727687

Radix Representation

Decimal 57727631
Binary 11011100001101101010001111 (26 bits)
Octal 0o334155217
Hexadecimal 0x370DA8F

Divisor Catalog (32)

1 13 17 23 41 221 277 299 391 533 697 943 3,601 4,709 5,083 6,371 9,061 11,357 12,259 16,031 61,217 82,823 108,307 147,641 193,069 208,403 261,211 1,407,991 2,509,897 3,395,743 4,440,587 57,727,631

Collatz Trajectory (93 steps to reach 1)

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

57,727,631 173,182,894 86,591,447 259,774,342 129,887,171 389,661,514 194,830,757 584,492,272 292,246,136 146,123,068 73,061,534 36,530,767 109,592,302 54,796,151 164,388,454 82,194,227 246,582,682 123,291,341 369,874,024 184,937,012 92,468,506 46,234,253 138,702,760 69,351,380 34,675,690 17,337,845 52,013,536 26,006,768 13,003,384 6,501,692 3,250,846 1,625,423 4,876,270 2,438,135 7,314,406 3,657,203 10,971,610 5,485,805 16,457,416 8,228,708 4,114,354 2,057,177 6,171,532 3,085,766 1,542,883 4,628,650 2,314,325 6,942,976 3,471,488 1,735,744 867,872 433,936 216,968 108,484 54,242 27,121 81,364 40,682 20,341 61,024

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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