λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,140,676
27,140,676
22 × 3 × 331 × 6833
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 331 × 6833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,528,864
Proper Divisor Sum 36,388,188
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #27140671 ← → #27140677

Radix Representation

Decimal 27140676
Binary 1100111100010001001000100 (25 bits)
Octal 0o147421104
Hexadecimal 0x19E2244

Divisor Catalog (24)

1 2 3 4 6 12 331 662 993 1,324 1,986 3,972 6,833 13,666 20,499 27,332 40,998 81,996 2,261,723 4,523,446 6,785,169 9,046,892 13,570,338 27,140,676

Collatz Trajectory (224 steps to reach 1)

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

27,140,676 13,570,338 6,785,169 20,355,508 10,177,754 5,088,877 15,266,632 7,633,316 3,816,658 1,908,329 5,724,988 2,862,494 1,431,247 4,293,742 2,146,871 6,440,614 3,220,307 9,660,922 4,830,461 14,491,384 7,245,692 3,622,846 1,811,423 5,434,270 2,717,135 8,151,406 4,075,703 12,227,110 6,113,555 18,340,666 9,170,333 27,511,000 13,755,500 6,877,750 3,438,875 10,316,626 5,158,313 15,474,940 7,737,470 3,868,735 11,606,206 5,803,103 17,409,310 8,704,655 26,113,966 13,056,983 39,170,950 19,585,475 58,756,426 29,378,213 88,134,640 44,067,320 22,033,660 11,016,830 5,508,415 16,525,246 8,262,623 24,787,870 12,393,935 37,181,806

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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