λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,830
49,830
2 × 3 × 5 × 11 × 151
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,328
Proper Divisor Sum 81,498
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #49823 ← → #49831

Radix Representation

Decimal 49830
Binary 1100001010100110 (16 bits)
Octal 0o141246
Hexadecimal 0xC2A6

Divisor Catalog (32)

1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 755 906 1,510 1,661 2,265 3,322 4,530 4,983 8,305 9,966 16,610 24,915 49,830

Collatz Trajectory (65 steps to reach 1)

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

49,830 24,915 74,746 37,373 112,120 56,060 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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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