λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,175,225
20,175,225
3 × 52 × 7 × 83 × 463
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 83 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,664,192
Proper Divisor Sum 18,488,967
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #20175223 ← → #20175263

Radix Representation

Decimal 20175225
Binary 1001100111101100101111001 (25 bits)
Octal 0o114754571
Hexadecimal 0x133D979

Divisor Catalog (48)

1 3 5 7 15 21 25 35 75 83 105 175 249 415 463 525 581 1,245 1,389 1,743 2,075 2,315 2,905 3,241 6,225 6,945 8,715 9,723 11,575 14,525 16,205 34,725 38,429 43,575 48,615 81,025 115,287 192,145 243,075 269,003 576,435 807,009 960,725 1,345,015 2,882,175 4,035,045 6,725,075 20,175,225

Collatz Trajectory (146 steps to reach 1)

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

20,175,225 60,525,676 30,262,838 15,131,419 45,394,258 22,697,129 68,091,388 34,045,694 17,022,847 51,068,542 25,534,271 76,602,814 38,301,407 114,904,222 57,452,111 172,356,334 86,178,167 258,534,502 129,267,251 387,801,754 193,900,877 581,702,632 290,851,316 145,425,658 72,712,829 218,138,488 109,069,244 54,534,622 27,267,311 81,801,934 40,900,967 122,702,902 61,351,451 184,054,354 92,027,177 276,081,532 138,040,766 69,020,383 207,061,150 103,530,575 310,591,726 155,295,863 465,887,590 232,943,795 698,831,386 349,415,693 1,048,247,080 524,123,540 262,061,770 131,030,885 393,092,656 196,546,328 98,273,164 49,136,582 24,568,291 73,704,874 36,852,437 110,557,312 55,278,656 27,639,328

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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