λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,727,628
57,727,628
22 × 7 × 853 × 2417
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 853 × 2417
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 115,638,432
Proper Divisor Sum 57,910,804
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57727627 ← → #57727687

Radix Representation

Decimal 57727628
Binary 11011100001101101010001100 (26 bits)
Octal 0o334155214
Hexadecimal 0x370DA8C

Divisor Catalog (24)

1 2 4 7 14 28 853 1,706 2,417 3,412 4,834 5,971 9,668 11,942 16,919 23,884 33,838 67,676 2,061,701 4,123,402 8,246,804 14,431,907 28,863,814 57,727,628

Collatz Trajectory (300 steps to reach 1)

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

57,727,628 28,863,814 14,431,907 43,295,722 21,647,861 64,943,584 32,471,792 16,235,896 8,117,948 4,058,974 2,029,487 6,088,462 3,044,231 9,132,694 4,566,347 13,699,042 6,849,521 20,548,564 10,274,282 5,137,141 15,411,424 7,705,712 3,852,856 1,926,428 963,214 481,607 1,444,822 722,411 2,167,234 1,083,617 3,250,852 1,625,426 812,713 2,438,140 1,219,070 609,535 1,828,606 914,303 2,742,910 1,371,455 4,114,366 2,057,183 6,171,550 3,085,775 9,257,326 4,628,663 13,885,990 6,942,995 20,828,986 10,414,493 31,243,480 15,621,740 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 #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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