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Ratio Atlas
Atlas › Integer Profiles › Node 20,175,015
20,175,015
3 × 5 × 72 × 27449
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 27449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 37,551,600
Proper Divisor Sum 17,376,585
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20175013 ← → #20175037

Radix Representation

Decimal 20175015
Binary 1001100111101100010100111 (25 bits)
Octal 0o114754247
Hexadecimal 0x133D8A7

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 27,449 82,347 137,245 192,143 411,735 576,429 960,715 1,345,001 2,882,145 4,035,003 6,725,005 20,175,015

Collatz Trajectory (208 steps to reach 1)

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

20,175,015 60,525,046 30,262,523 90,787,570 45,393,785 136,181,356 68,090,678 34,045,339 102,136,018 51,068,009 153,204,028 76,602,014 38,301,007 114,903,022 57,451,511 172,354,534 86,177,267 258,531,802 129,265,901 387,797,704 193,898,852 96,949,426 48,474,713 145,424,140 72,712,070 36,356,035 109,068,106 54,534,053 163,602,160 81,801,080 40,900,540 20,450,270 10,225,135 30,675,406 15,337,703 46,013,110 23,006,555 69,019,666 34,509,833 103,529,500 51,764,750 25,882,375 77,647,126 38,823,563 116,470,690 58,235,345 174,706,036 87,353,018 43,676,509 131,029,528 65,514,764 32,757,382 16,378,691 49,136,074 24,568,037 73,704,112 36,852,056 18,426,028 9,213,014 4,606,507

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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