λ
Ratio Atlas
Atlas › Integer Profiles › Node 810,223
810,223
810223
Deficient Odd Prime

Prime Factor Structure

Factorization String 810223
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 810,224
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #810209 ← → #810239

Radix Representation

Decimal 810223
Binary 11000101110011101111 (20 bits)
Octal 0o3056357
Hexadecimal 0xC5CEF

Divisor Catalog (2)

1 810,223

Collatz Trajectory (224 steps to reach 1)

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

810,223 2,430,670 1,215,335 3,646,006 1,823,003 5,469,010 2,734,505 8,203,516 4,101,758 2,050,879 6,152,638 3,076,319 9,228,958 4,614,479 13,843,438 6,921,719 20,765,158 10,382,579 31,147,738 15,573,869 46,721,608 23,360,804 11,680,402 5,840,201 17,520,604 8,760,302 4,380,151 13,140,454 6,570,227 19,710,682 9,855,341 29,566,024 14,783,012 7,391,506 3,695,753 11,087,260 5,543,630 2,771,815 8,315,446 4,157,723 12,473,170 6,236,585 18,709,756 9,354,878 4,677,439 14,032,318 7,016,159 21,048,478 10,524,239 31,572,718 15,786,359 47,359,078 23,679,539 71,038,618 35,519,309 106,557,928 53,278,964 26,639,482 13,319,741 39,959,224

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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