λ
Ratio Atlas
Atlas › Integer Profiles › Node 830,271
830,271
3 × 13 × 61 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 61 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,215,200
Proper Divisor Sum 384,929
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #830267 ← → #830279

Radix Representation

Decimal 830271
Binary 11001010101100111111 (20 bits)
Octal 0o3125477
Hexadecimal 0xCAB3F

Divisor Catalog (16)

1 3 13 39 61 183 349 793 1,047 2,379 4,537 13,611 21,289 63,867 276,757 830,271

Collatz Trajectory (250 steps to reach 1)

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

830,271 2,490,814 1,245,407 3,736,222 1,868,111 5,604,334 2,802,167 8,406,502 4,203,251 12,609,754 6,304,877 18,914,632 9,457,316 4,728,658 2,364,329 7,092,988 3,546,494 1,773,247 5,319,742 2,659,871 7,979,614 3,989,807 11,969,422 5,984,711 17,954,134 8,977,067 26,931,202 13,465,601 40,396,804 20,198,402 10,099,201 30,297,604 15,148,802 7,574,401 22,723,204 11,361,602 5,680,801 17,042,404 8,521,202 4,260,601 12,781,804 6,390,902 3,195,451 9,586,354 4,793,177 14,379,532 7,189,766 3,594,883 10,784,650 5,392,325 16,176,976 8,088,488 4,044,244 2,022,122 1,011,061 3,033,184 1,516,592 758,296 379,148 189,574

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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