λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,200,096
10,200,096
25 × 32 × 107 × 331
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 107 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 29,366,064
Proper Divisor Sum 19,165,968
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10200089 ← → #10200101

Radix Representation

Decimal 10200096
Binary 100110111010010000100000 (24 bits)
Octal 0o46722040
Hexadecimal 0x9BA420

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 331 428 642 662 856 963 993 1,284 1,324 1,712 1,926 1,986 2,568 2,648 2,979 3,424 3,852 3,972 5,136 5,296 5,958 7,704 7,944 10,272 10,592 11,916 15,408 15,888 23,832 30,816 31,776 35,417 47,664 70,834 95,328 106,251 141,668 212,502 283,336

Collatz Trajectory (176 steps to reach 1)

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

10,200,096 5,100,048 2,550,024 1,275,012 637,506 318,753 956,260 478,130 239,065 717,196 358,598 179,299 537,898 268,949 806,848 403,424 201,712 100,856 50,428 25,214 12,607 37,822 18,911 56,734 28,367 85,102 42,551 127,654 63,827 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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