λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,175,375
20,175,375
3 × 53 × 11 × 67 × 73
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 67 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 37,679,616
Proper Divisor Sum 17,504,241
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #20175371 ← → #20175377

Radix Representation

Decimal 20175375
Binary 1001100111101101000001111 (25 bits)
Octal 0o114755017
Hexadecimal 0x133DA0F

Divisor Catalog (60 of 64)

1 3 5 11 15 25 33 55 67 73 75 125 165 201 219 275 335 365 375 737 803 825 1,005 1,095 1,375 1,675 1,825 2,211 2,409 3,685 4,015 4,125 4,891 5,025 5,475 8,375 9,125 11,055 12,045 14,673 18,425 20,075 24,455 25,125 27,375 53,801 55,275 60,225 73,365 92,125 100,375 122,275 161,403 269,005 276,375 301,125 366,825 611,375 807,015 1,345,025

Collatz Trajectory (208 steps to reach 1)

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

20,175,375 60,526,126 30,263,063 90,789,190 45,394,595 136,183,786 68,091,893 204,275,680 102,137,840 51,068,920 25,534,460 12,767,230 6,383,615 19,150,846 9,575,423 28,726,270 14,363,135 43,089,406 21,544,703 64,634,110 32,317,055 96,951,166 48,475,583 145,426,750 72,713,375 218,140,126 109,070,063 327,210,190 163,605,095 490,815,286 245,407,643 736,222,930 368,111,465 1,104,334,396 552,167,198 276,083,599 828,250,798 414,125,399 1,242,376,198 621,188,099 1,863,564,298 931,782,149 2,795,346,448 1,397,673,224 698,836,612 349,418,306 174,709,153 524,127,460 262,063,730 131,031,865 393,095,596 196,547,798 98,273,899 294,821,698 147,410,849 442,232,548 221,116,274 110,558,137 331,674,412 165,837,206

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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