λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,580,226
4,580,226
2 × 34 × 72 × 577
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 7^2 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,959,398
Proper Divisor Sum 7,379,172
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4580209 ← → #4580227

Radix Representation

Decimal 4580226
Binary 10001011110001110000010 (23 bits)
Octal 0o21361602
Hexadecimal 0x45E382

Divisor Catalog (60)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 577 882 1,134 1,154 1,323 1,731 2,646 3,462 3,969 4,039 5,193 7,938 8,078 10,386 12,117 15,579 24,234 28,273 31,158 36,351 46,737 56,546 72,702 84,819 93,474 109,053 169,638 218,106 254,457 327,159 508,914 654,318 763,371 1,526,742 2,290,113 4,580,226

Collatz Trajectory (131 steps to reach 1)

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

4,580,226 2,290,113 6,870,340 3,435,170 1,717,585 5,152,756 2,576,378 1,288,189 3,864,568 1,932,284 966,142 483,071 1,449,214 724,607 2,173,822 1,086,911 3,260,734 1,630,367 4,891,102 2,445,551 7,336,654 3,668,327 11,004,982 5,502,491 16,507,474 8,253,737 24,761,212 12,380,606 6,190,303 18,570,910 9,285,455 27,856,366 13,928,183 41,784,550 20,892,275 62,676,826 31,338,413 94,015,240 47,007,620 23,503,810 11,751,905 35,255,716 17,627,858 8,813,929 26,441,788 13,220,894 6,610,447 19,831,342 9,915,671 29,747,014 14,873,507 44,620,522 22,310,261 66,930,784 33,465,392 16,732,696 8,366,348 4,183,174 2,091,587 6,274,762

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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