λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,003,025
20,003,025
3 × 52 × 72 × 5443
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 5443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 38,478,192
Proper Divisor Sum 18,475,167
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #20003023 ← → #20003047

Radix Representation

Decimal 20003025
Binary 1001100010011100011010001 (25 bits)
Octal 0o114234321
Hexadecimal 0x13138D1

Divisor Catalog (36)

1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1,225 3,675 5,443 16,329 27,215 38,101 81,645 114,303 136,075 190,505 266,707 408,225 571,515 800,121 952,525 1,333,535 2,857,575 4,000,605 6,667,675 20,003,025

Collatz Trajectory (296 steps to reach 1)

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

20,003,025 60,009,076 30,004,538 15,002,269 45,006,808 22,503,404 11,251,702 5,625,851 16,877,554 8,438,777 25,316,332 12,658,166 6,329,083 18,987,250 9,493,625 28,480,876 14,240,438 7,120,219 21,360,658 10,680,329 32,040,988 16,020,494 8,010,247 24,030,742 12,015,371 36,046,114 18,023,057 54,069,172 27,034,586 13,517,293 40,551,880 20,275,940 10,137,970 5,068,985 15,206,956 7,603,478 3,801,739 11,405,218 5,702,609 17,107,828 8,553,914 4,276,957 12,830,872 6,415,436 3,207,718 1,603,859 4,811,578 2,405,789 7,217,368 3,608,684 1,804,342 902,171 2,706,514 1,353,257 4,059,772 2,029,886 1,014,943 3,044,830 1,522,415 4,567,246

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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