λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,000,850
2,000,850
2 × 3 × 52 × 13339
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 13339
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,962,480
Proper Divisor Sum 2,961,630
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2000813 ← → #2000863

Radix Representation

Decimal 2000850
Binary 111101000011111010010 (21 bits)
Octal 0o7503722
Hexadecimal 0x1E87D2

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 13,339 26,678 40,017 66,695 80,034 133,390 200,085 333,475 400,170 666,950 1,000,425 2,000,850

Collatz Trajectory (202 steps to reach 1)

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

2,000,850 1,000,425 3,001,276 1,500,638 750,319 2,250,958 1,125,479 3,376,438 1,688,219 5,064,658 2,532,329 7,596,988 3,798,494 1,899,247 5,697,742 2,848,871 8,546,614 4,273,307 12,819,922 6,409,961 19,229,884 9,614,942 4,807,471 14,422,414 7,211,207 21,633,622 10,816,811 32,450,434 16,225,217 48,675,652 24,337,826 12,168,913 36,506,740 18,253,370 9,126,685 27,380,056 13,690,028 6,845,014 3,422,507 10,267,522 5,133,761 15,401,284 7,700,642 3,850,321 11,550,964 5,775,482 2,887,741 8,663,224 4,331,612 2,165,806 1,082,903 3,248,710 1,624,355 4,873,066 2,436,533 7,309,600 3,654,800 1,827,400 913,700 456,850

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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