λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,322,155
6,322,155
3 × 5 × 7 × 19 × 3169
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 19 × 3169
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,172,800
Proper Divisor Sum 5,850,645
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6322123 ← → #6322163

Radix Representation

Decimal 6322155
Binary 11000000111011111101011 (23 bits)
Octal 0o30073753
Hexadecimal 0x6077EB

Divisor Catalog (32)

1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1,995 3,169 9,507 15,845 22,183 47,535 60,211 66,549 110,915 180,633 301,055 332,745 421,477 903,165 1,264,431 2,107,385 6,322,155

Collatz Trajectory (271 steps to reach 1)

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

6,322,155 18,966,466 9,483,233 28,449,700 14,224,850 7,112,425 21,337,276 10,668,638 5,334,319 16,002,958 8,001,479 24,004,438 12,002,219 36,006,658 18,003,329 54,009,988 27,004,994 13,502,497 40,507,492 20,253,746 10,126,873 30,380,620 15,190,310 7,595,155 22,785,466 11,392,733 34,178,200 17,089,100 8,544,550 4,272,275 12,816,826 6,408,413 19,225,240 9,612,620 4,806,310 2,403,155 7,209,466 3,604,733 10,814,200 5,407,100 2,703,550 1,351,775 4,055,326 2,027,663 6,082,990 3,041,495 9,124,486 4,562,243 13,686,730 6,843,365 20,530,096 10,265,048 5,132,524 2,566,262 1,283,131 3,849,394 1,924,697 5,774,092 2,887,046 1,443,523

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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