λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,777,870
5,777,870
2 × 5 × 7 × 59 × 1399
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 59 × 1399
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,096,000
Proper Divisor Sum 6,318,130
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5777869 ← → #5777887

Radix Representation

Decimal 5777870
Binary 10110000010100111001110 (23 bits)
Octal 0o26024716
Hexadecimal 0x5829CE

Divisor Catalog (32)

1 2 5 7 10 14 35 59 70 118 295 413 590 826 1,399 2,065 2,798 4,130 6,995 9,793 13,990 19,586 48,965 82,541 97,930 165,082 412,705 577,787 825,410 1,155,574 2,888,935 5,777,870

Collatz Trajectory (258 steps to reach 1)

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

5,777,870 2,888,935 8,666,806 4,333,403 13,000,210 6,500,105 19,500,316 9,750,158 4,875,079 14,625,238 7,312,619 21,937,858 10,968,929 32,906,788 16,453,394 8,226,697 24,680,092 12,340,046 6,170,023 18,510,070 9,255,035 27,765,106 13,882,553 41,647,660 20,823,830 10,411,915 31,235,746 15,617,873 46,853,620 23,426,810 11,713,405 35,140,216 17,570,108 8,785,054 4,392,527 13,177,582 6,588,791 19,766,374 9,883,187 29,649,562 14,824,781 44,474,344 22,237,172 11,118,586 5,559,293 16,677,880 8,338,940 4,169,470 2,084,735 6,254,206 3,127,103 9,381,310 4,690,655 14,071,966 7,035,983 21,107,950 10,553,975 31,661,926 15,830,963 47,492,890

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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