λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,727,640
57,727,640
23 × 5 × 773 × 1867
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 773 × 1867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 130,124,880
Proper Divisor Sum 72,397,240
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57727627 ← → #57727687

Radix Representation

Decimal 57727640
Binary 11011100001101101010011000 (26 bits)
Octal 0o334155230
Hexadecimal 0x370DA98

Divisor Catalog (32)

1 2 4 5 8 10 20 40 773 1,546 1,867 3,092 3,734 3,865 6,184 7,468 7,730 9,335 14,936 15,460 18,670 30,920 37,340 74,680 1,443,191 2,886,382 5,772,764 7,215,955 11,545,528 14,431,910 28,863,820 57,727,640

Collatz Trajectory (300 steps to reach 1)

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

57,727,640 28,863,820 14,431,910 7,215,955 21,647,866 10,823,933 32,471,800 16,235,900 8,117,950 4,058,975 12,176,926 6,088,463 18,265,390 9,132,695 27,398,086 13,699,043 41,097,130 20,548,565 61,645,696 30,822,848 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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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