λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,057,728
10,057,728
211 × 3 × 1637
Abundant Even Composite

Prime Factor Structure

Factorization String 2^11 × 3 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,830,440
Proper Divisor Sum 16,772,712
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10057711 ← → #10057759

Radix Representation

Decimal 10057728
Binary 100110010111100000000000 (24 bits)
Octal 0o46274000
Hexadecimal 0x997800

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1,024 1,536 1,637 2,048 3,072 3,274 4,911 6,144 6,548 9,822 13,096 19,644 26,192 39,288 52,384 78,576 104,768 157,152 209,536 314,304 419,072 628,608 838,144 1,257,216 1,676,288 2,514,432 3,352,576 5,028,864 10,057,728

Collatz Trajectory (132 steps to reach 1)

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

10,057,728 5,028,864 2,514,432 1,257,216 628,608 314,304 157,152 78,576 39,288 19,644 9,822 4,911 14,734 7,367 22,102 11,051 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780

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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