λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,333,500
3,333,500
22 × 53 × 59 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^3 × 59 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,469,280
Proper Divisor Sum 4,135,780
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3333497 ← → #3333509

Radix Representation

Decimal 3333500
Binary 1100101101110101111100 (22 bits)
Octal 0o14556574
Hexadecimal 0x32DD7C

Divisor Catalog (48)

1 2 4 5 10 20 25 50 59 100 113 118 125 226 236 250 295 452 500 565 590 1,130 1,180 1,475 2,260 2,825 2,950 5,650 5,900 6,667 7,375 11,300 13,334 14,125 14,750 26,668 28,250 29,500 33,335 56,500 66,670 133,340 166,675 333,350 666,700 833,375 1,666,750 3,333,500

Collatz Trajectory (115 steps to reach 1)

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

3,333,500 1,666,750 833,375 2,500,126 1,250,063 3,750,190 1,875,095 5,625,286 2,812,643 8,437,930 4,218,965 12,656,896 6,328,448 3,164,224 1,582,112 791,056 395,528 197,764 98,882 49,441 148,324 74,162 37,081 111,244 55,622 27,811 83,434 41,717 125,152 62,576 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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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