λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,800
10,072,800
25 × 32 × 52 × 1399
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 1399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 35,544,600
Proper Divisor Sum 25,471,800
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10072729 ← → #10072817

Radix Representation

Decimal 10072800
Binary 100110011011001011100000 (24 bits)
Octal 0o46331340
Hexadecimal 0x99B2E0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1,200 1,399 1,440 1,800 2,400 2,798 3,600 4,197 5,596 6,995 7,200 8,394

Collatz Trajectory (57 steps to reach 1)

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

10,072,800 5,036,400 2,518,200 1,259,100 629,550 314,775 944,326 472,163 1,416,490 708,245 2,124,736 1,062,368 531,184 265,592 132,796 66,398 33,199 99,598 49,799 149,398 74,699 224,098 112,049 336,148 168,074 84,037 252,112 126,056 63,028 31,514 15,757 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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