λ
Ratio Atlas
Atlas › Integer Profiles › Node 225,680
225,680
24 × 5 × 7 × 13 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 13 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 666,624
Proper Divisor Sum 440,944
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #225671 ← → #225683

Radix Representation

Decimal 225680
Binary 110111000110010000 (18 bits)
Octal 0o670620
Hexadecimal 0x37190

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 728 806 868 910 1,040 1,085 1,240 1,456 1,612 1,736 1,820 2,015 2,170 2,480 2,821 3,224

Collatz Trajectory (62 steps to reach 1)

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

225,680 112,840 56,420 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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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