λ
Ratio Atlas
Atlas › Integer Profiles › Node 84,281,145
84,281,145
3 × 5 × 132 × 33247
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 33247
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 146,025,216
Proper Divisor Sum 61,744,071
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #84281123 ← → #84281149

Radix Representation

Decimal 84281145
Binary 101000001100000011100111001 (27 bits)
Octal 0o501403471
Hexadecimal 0x5060739

Divisor Catalog (24)

1 3 5 13 15 39 65 169 195 507 845 2,535 33,247 99,741 166,235 432,211 498,705 1,296,633 2,161,055 5,618,743 6,483,165 16,856,229 28,093,715 84,281,145

Collatz Trajectory (298 steps to reach 1)

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

84,281,145 252,843,436 126,421,718 63,210,859 189,632,578 94,816,289 284,448,868 142,224,434 71,112,217 213,336,652 106,668,326 53,334,163 160,002,490 80,001,245 240,003,736 120,001,868 60,000,934 30,000,467 90,001,402 45,000,701 135,002,104 67,501,052 33,750,526 16,875,263 50,625,790 25,312,895 75,938,686 37,969,343 113,908,030 56,954,015 170,862,046 85,431,023 256,293,070 128,146,535 384,439,606 192,219,803 576,659,410 288,329,705 864,989,116 432,494,558 216,247,279 648,741,838 324,370,919 973,112,758 486,556,379 1,459,669,138 729,834,569 2,189,503,708 1,094,751,854 547,375,927 1,642,127,782 821,063,891 2,463,191,674 1,231,595,837 3,694,787,512 1,847,393,756 923,696,878 461,848,439 1,385,545,318 692,772,659

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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