λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,787,658
57,787,658
2 × 17 × 31 × 109 × 503
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 31 × 109 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,800,320
Proper Divisor Sum 38,012,662
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #57787651 ← → #57787663

Radix Representation

Decimal 57787658
Binary 11011100011100010100001010 (26 bits)
Octal 0o334342412
Hexadecimal 0x371C50A

Divisor Catalog (32)

1 2 17 31 34 62 109 218 503 527 1,006 1,054 1,853 3,379 3,706 6,758 8,551 15,593 17,102 31,186 54,827 57,443 109,654 114,886 265,081 530,162 932,059 1,699,637 1,864,118 3,399,274 28,893,829 57,787,658

Collatz Trajectory (251 steps to reach 1)

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

57,787,658 28,893,829 86,681,488 43,340,744 21,670,372 10,835,186 5,417,593 16,252,780 8,126,390 4,063,195 12,189,586 6,094,793 18,284,380 9,142,190 4,571,095 13,713,286 6,856,643 20,569,930 10,284,965 30,854,896 15,427,448 7,713,724 3,856,862 1,928,431 5,785,294 2,892,647 8,677,942 4,338,971 13,016,914 6,508,457 19,525,372 9,762,686 4,881,343 14,644,030 7,322,015 21,966,046 10,983,023 32,949,070 16,474,535 49,423,606 24,711,803 74,135,410 37,067,705 111,203,116 55,601,558 27,800,779 83,402,338 41,701,169 125,103,508 62,551,754 31,275,877 93,827,632 46,913,816 23,456,908 11,728,454 5,864,227 17,592,682 8,796,341 26,389,024 13,194,512

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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