λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,144
10,071,144
23 × 32 × 137 × 1021
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 137 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,502,020
Proper Divisor Sum 17,430,876
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10071143 ← → #10071163

Radix Representation

Decimal 10071144
Binary 100110011010110001101000 (24 bits)
Octal 0o46326150
Hexadecimal 0x99AC68

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1,021 1,096 1,233 1,644 2,042 2,466 3,063 3,288 4,084 4,932 6,126 8,168 9,189 9,864 12,252 18,378 24,504 36,756 73,512 139,877 279,754 419,631 559,508 839,262 1,119,016 1,258,893 1,678,524 2,517,786 3,357,048 5,035,572 10,071,144

Collatz Trajectory (145 steps to reach 1)

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

10,071,144 5,035,572 2,517,786 1,258,893 3,776,680 1,888,340 944,170 472,085 1,416,256 708,128 354,064 177,032 88,516 44,258 22,129 66,388 33,194 16,597 49,792 24,896 12,448 6,224 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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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